SUBJECTS

RESEARCH METHODOLOGY BMEGEMIDKMD 3 kp Responsible: Dr. Kiss, Rita Lecturers: Dr. Kiss, Rita; Dr. Ábrahám, György; Dr. Ronkay, Ferenc Introduction: Definition of science’s and research methodology, scientometrics, type of scientometrics. Characteristics of scientists and researchers, guideline for preparation of CV. List of publications, the use of MTMT system. Different topics in research and in science. Structure of a research. Literature research with different bibliographic programs. History and development of science. Methodology in research and in science. Thinking methods and models. Design of experiments, design and construction of experimental (measuring) devices, modeling, simulation, evaluation and documentation. Ethical issues. Structure of scientific works and articles. Editing of different proposal (Hungarian and European). Communication, research etiquette. Requirements of PhD degree.Classification of publications.

Department of Materials Science and Technology

MATERIALS SCIENCE I. (PhD Final exam) BMEGEMT9001 3 cp MATERIALS SCIENCE II. (PhD Final exam) BMEGEMT000 1 3 cp MATERIALS SCIENCE BMEGEMT8001 3 cp Lecturers: Dr. Artinger, István; Dr. Dévényi, László; Dr. Szabó, Péter János Connection between the mechanical-physical properties and the structure of the materials. Typical bondings, structures. Ideal crystals. Crystal defects. Equilibrium and non-equilibrium states and transformations. Roles of diffusion processes. Strengthening mechanismus in metallic alloys, ceramics and glasses. Solid solutions, grain refinement, nanophase alloys, deformation hardening, aging, dispersion strengthening. Microalloying. Materials of the nuclear technology. Irradiation damaging. Electrically conductive and resistive materials, bimetals, alloys with controlled thermal expansion, superconductive materials, technology of semiconductors. Magnetic materials, shape memory alloys. MATERIALS AND PROCESS TECHNOLOGY I. (PhD Final) BMEGEMT9002 3 cp MATERIALS AND PROCESS TECHNOLOGY II. (PhD Final) B MEGEMT0002 3 cp MATERIALS AND PROCESS TECHNOLOGY BMEGEMT8002 3 cp Lecturers: Dr. Artinger, István; Dr. Krállics, György; Dr. Bobor, Kristóf Chip-free technologies for making the preforms. System of the main technological processes (metal forming, welding, casting and powder metallurgy) as the function of the dimensional accuracy, the deformability of the material, and the material and energy consumption and the number of produced pieces. Change of the geometry and material properties in the various components by different mechanical, thermal, electrical and magnetic fields. The technological procedures of surface property modification. The main aspects of the process design. Application of computer aided systems for the design of technological processes. MATERIALS TESTING I. (PhD Final exam) BMEGEMT9101 3 cp Lecturers: Dr. Czoboly, Ernő; Dr. Krállics, György; Dr. Orbulov, Imre Norbert

Basic testing methods and quantities. The effect of the static and the dynamic loading, and the effect of the state factors. Characterization of ductile and brittle state of the materials. Description of the conditions of forming ductile or brittle state. Basic principles and testing methods of fracture mechanics. Linear elastic and plastic attributes of fracture mechanics and their application in the engineering practice. Fatigue, micro- and macrocracks. Low cycle fatigue and its testing methods. Effect of the environment. Technological samples. MATERIALS TESTING II. (PhD Final exam) BMEGEMT010 1 3 cp Lecturers: Dr. István Mészáros; Dr. János Ginsztler The place and role of nondestructive material testing in the production and in quality assurance systems. Classification of NDT/NDE methods. Traditional NDT investigation techniques: visual testing, liquid penetrate testing, ultrasonic testing, radiographic testing, magnetic testing, eddy current testing. Novel NDT methods: special electromagnetic methods, special eddy current methods (remote field, low frequency techniques). Acoustic emission testing. The reliability of NDT testing, statistical analysis. Optical and electron microscopic microstructural investigations and their application possibilities. Automatization of NDT testing. MATERIALS TESTING BMEGEMT8101 3 cp Lecturers: Dr. Ernő Czoboly; Dr. Mészáros, Norbert; Dr. Krállics, György One semester summary of Materials Testing I-II. BIOMATERIALS BMEGEMT8674 3 cp Lecturers: Dr. Mészáros, István; Dr. Bagi, István The subject focused on the special materials (metals, alloys, and ceramics) used in biomedical applications. Summarizes the requirements and discusses the structure, technology and important properties of biomedical materials. The most important chapters are the followings: Summary of the physical, biological background of life functions. The special materials used in medical instruments and devices. The deterioration processes and expected lifetime of the materials implanted into the living body. WELDING I. (PhD Final exam) BMEGEMT9102 3 cp WELDING II. (PhD Final exam) BMEGEMT0102 3 cp WELDING BMEGEMT8102 3 cp Lecturers: Dr. Dobránszky, János; Dr. Májlinger, Kornél Welding Technology. Role of welding in the manufacturing process. Physical basics of welding, formation of the welded joint, effects of welding process on the properties. Fusion and pressure welding processes used in industry: process variables, principles, equipment, welding consumables and applications. Automatization of welding, fundamentals of robotics, computer aided welding technology design. Quality management. Technological tests. Role and significance of non-destructive evaluation in welding technology. Thermal cutting and thermal spraying methods. Weldability. Correlations of the welding technology, the engineering structures and materials to weld. Welding heat process. Metallurgical processes in the melt and at the surface of that. Physico-

chemical effects influencing the chemical composition and mechanical properties of weld metal. Cold cracking, hot cracking, lamellar tearing, hydrogen embrittlement. Test methods for weldability. Weldability of carbon steels, high-alloyed steels, ferrous, aluminum, copper, nickel, titanium alloys, heat-resistant materials and polymers. HEAT TREATMENT I. (PhD Final exam) BMEGEMT9103 3 cp HEAT TREATMENT II. (PhD Final exam) BMEGEMT0103 3 cp HEAT TREATMENT (PhD) BMEGEMT8103 3 cp Lecturers: Dr. Ginsztler, János; Dr. Dévényi, László; Dr. Fábián, Enikő Réka Basic relationship between the properties, the structure, the chemical composition and the heat treatment of metallic alloys. The state and the role of heat treatments in the production of metallic parts, tools and structures. Structure transformations of steels in equilibrium and in non-equilibrium. Time-temperature transformation curves for isothermic and continuous cooling. Quenching, quenchability. Thermal stresses, change of the shape and dimensions. New and traditional heat treatment technologies for steels. Heat treatment technologies for steel casts, cast irons and aluminium alloys. Partial quenching. Thermochemical treatments. Special heat treatments. PLASTIC DEFORMATION I. (PhD Final exam) BMEGEMT9104 3 cp PLASTIC DEFORMATION II. (PhD Final exam) BMEGEMT010 4 3 cp PLASTIC DEFORMATION (PhD) BMEGEMT8104 3 cp Lecturers: Dr. Krállics, György; Dr. Bobor, Kristóf Theory of metal forming Tensile and upsetting test and basic material behavior. Engineering and true variables. Analysis of work hardening. Necking, uniform elongation. Strain rate sensitivity. Tensors, matrices, vectors. Rotation of Cartesian axes. Matrix and tensor operations. Definition of stress and stress tensor. Deviatoric stress. Physical ideas of deformation. Lagrangian and Eulerian description of continuum kinematics. Deformation tensors. Lagrange, Euler and logarithmic strain tensors. Mechanical principles.The virtual work principle. Constitutive equations for elastic, plastic and viscoplastic materials. Plasticity, yield surface and yield function. Strain hardening, evolution of yield surface. Basic concept of friction. Coulomb’s law. Sticking friction and modified sticking friction. Upper and lower bound on power. Slab calculation. Stress and strain analysis of basic manufacturing processes. Forging of disk. Flow trough conical converging dies. Strip rolling. Deformability of metals. Theories of ductile fracture by Bogatov. Meso–damage by void evolution. Lemaitre damage mechanics. Gurson’s model. Metal forming and forging processes Metal-forming process as a system. Direct (or) forward extrusion, indirect extrusion. Process variables on direct extrusion. Types of metal flow in extruding with square dies. Hot extrusion. Die design and die materials. Basic technological concepts of rolling. Hot, cold and warm rolling. The raw material for rolling mills. Rolled products.

Base technologies and raw materials of open die forging. Forging operation: edging, piercing, punching, fullering, swaging. Design of technological processes for the formation of cavities. Close die forging operations: billet, heating, preshaping, rough forging, finishing, trimming, final product, heat treatment. Processes for the formation of cavities. Closed die forging tools. Die materials, required properties. Forging equipment: hammers, screw presses, presses controlled by stroke, hydraulic presses ENGINEERING DIAGNOSTICS I. (PhD Final exam) BMEGEM T9106 3 cp ENGINEERING DIAGNOSTICS II. (PhD Final exam) BMEGE MT0106 3 cp ENGINEERING DIAGNOSTICS BMEGEMT8106 3 cp Lecturers: Dr. Ginsztler, János; Dr. Dévényi, László; Dr. Mészáros, István Time and loading dependent deterioration processes of metallic materials. Structural and property changes due to deterioration processes. Connections between structural deterioration, applicability and safe life time. Typical failure cases and reliability. Material testing methods. Destructive and nondestructive testing possibilities of deterioration processes. On-line diagnostical methods and production controlling. Basics of quality assurance systems. STRUCTURAL MATERIALS I. (PhD Final exam) BMEGEMT91 09 3 cp STRUCTURAL MATERIALS II. (PhD Final exam) BMEGEMT0 109 3 cp STRUCTURAL MATERIALS BMEGEMT8109 3 cp Lecturers: Dr. Artinger, István; Dr. Krállics, György Classification of materials. Characteristic features of metals, glasses, ceramics, plastics and composites. Special steels, alloys and ceramics. High strength Al and Ti alloys. Superplastic alloys and ceramics, superhard materials. Modern encrusting technologies. Novel polymer structural materials. Highly crystalline and high strength polyolefines, aromatic plymers. Self enforcing liquid crystal polymers. Polymer composites and alloys. DEFORMATION AND FRACTURE OF METALLIC MATERIALS BMEGEMT8663 3 cp Lecturers: Dr. Krállics, György; Dr. Orbulov, Imre Norbert Deformation mechanisms of metallic materials. The characteristic instability points of the different deformation mechanisms and their calculations. Crack initialisation mechanisms, phenomenological criteria. The descriptions of crack propagation, fracture mechanics parameters, their measurements and applications for design purposes. Fatigue and its connection to fracture mechanics. The effect of temperature on the afore-mentioned processes. ELECTRICAL- AND MAGNETIC MATERIALS BMEGEMT8673 3 c p Lecturers: Dr. Mészáros, István; Dr. Ginsztler, János The subject summarizes the most important electrical conductive and magnetic materials used in mechanical engineering and in industrial applications. Conduction and polarization processes, properties, requirements. Bulk and thin film conductive materials, their properties, technological aspects. Superconductivity, and superconductive materials. Semi-conductive materials, devices and technologies. Magnetic properties. Ferro and ferromagnetic materials, magnetic thin films. Types of soft- and hardmagnetic materials and their technologies. ELECTRON MICROSCOPY BMEGEMT8531 3 cp

Lecturers: Dr. Szabó, Péter János; Dr. Májlinger, Kornél The structure of transmission electron microscope (TEM), image forming theories. Deflecting coils, electromagnetic lenses, aberrations, the optics of image formation. Special operating modes. Electron diffraction. Application of the TEM. Sample preparation. Evaluation of images and diffraction patterns. Special TEMs. Scanning electron microscope (SEM). The interaction between the electron beam and the materials. The structure of the SEM. Image forming, contrast effects, detectors. The basis of digital image analysis. Sample preparation. Special SEMs. EDS and WDS analysis. Electron back scattering diffraction (EBSD). CERAMICS AND COMPOSITES BMEGEMT8665 3 cp Lecturer: Dr. Orbulov, Imre Norbert The subject deals with nonmetallic materials (except polymers) in materials science and technology point of view. The subject discusses the typical chemical bondings in ceramics, and their available physical, mechanical and microstructural properties. Typical ceramic materials, ceramics built up from one chemical elements and multiple elements, production methods. Application possibilities of the ceramic materials. Ceramic tools and tool materials. Materials testing of ceramics, specialities, failure modes, possibilities of thoughness improvement. Design concepts for metal matrix composites, production methods and the achievable properties, materials testing methods, application possibilities.

Department of Fluid Mechanics ACOUSTICS I. (PhD, PhD Final exam) BMEGEÁT4A13 3 cp Responsible: Dr. Kristóf, Gergely Lecturer: Dr. Koscsó, Gábor The subject of acoustics, the concept of sound and two-fold nature of sound. Homogeneous wave equation, the general solution and solution in bounded space, organ pipe and room natural frequencies. Spherical waves, acoustic resonators, the Helmholtz-resonator and applications. Sound propagation in ducts, higher order modes, cross section step and termination in tubes. Simple expansion chamber, sound propagation in tubes of varying cross section. Ray acoustics. Energetic relations of acoustic waves, sound pressure, intensity and power. Point monopole, dipole and quadrupole sound sources, the acoustic source model law. Flow generated noise, Lighthill’s acoustic analogy, inhomogeneous acoustic wave equation. The attenuation of sound.

ACOUSTICS II. (PhD Final exam) BMEGEÁT4A24 3 cp Responsible: Dr. Kristóf, Gergely Lecturer: Dr. Horváth, Csaba Review of the governing equations, with regard to the special forms used i acoustics. Free field acoustics for a fluid medium at rest: orders of magnitude, wave equation and noise sources, Green function and integral forms. The inverse problem and the uniqueness of the source. The basic solutions of the wave equation. Acoustic energy and impedance. Free field Green’s functions. Multipole decomposition. Doppler effect. Aeroacoustic analogies. Lighthill analogy, Curle’s analogy, Ffowcs Williams-Hawkings method, choice of aeroacoustic variable, vortex noise. Categorization of aeroacoustic problems. The hierarchy of numerical aeroacoustic simulations: direct computation of sound, hybrid methods, large eddy simulations. Numerical considerations: Spatial discretization (wave propagation characteristics of finite difference schemes, dispersion and dissipation, spurious waves, artificial viscosity, and filtering, computational efficiency), temporal discretization, boundary conditions. POST-PROCESSING OF FLOW FIELDS BMEGEÁT4A35 3 cp Responsible: Dr. Kristóf, Gergely Lecturer: Dr. Lohász, Márton Máté Detailed examination of the invariants of the derivative (velocity gradient) tensor. Vortex detection in steady and unsteady flow field. Visualisation of the vortex core. Wall streamlines, separation and reattachment lines. Typical structures of the separated flows, characterisation of the separation zones. Planar streamlines and stream surfaces. Visualisation of the heat fluxes. Special treatment for periodic flow fields. FLUID MECHANICS I. (PhD, PhD Final exam) BMEGEÁT4A0 8 3 cp Responsible and lecturer: Dr. Vad, János The subject provides an overview on fundamentals of Fluid Mechanics (continuity, equations of motion with practical applications, laminar and turbulent flows, similarity theory, hydraulics, fundamentals of gas dynamics). It gives an in-depth insight into the descriptive equations of Fluid Mechanics, from various perspectives of physics and mathematics, including the aspects of transport theory and numerical modelling. It gives an overview on turbulence modelling, and on the possibilities of numerical computations on turbulent flows, taking the application example (among others) of characteristics of atmospheric flows. The subject provides details on some selected chapters of Fluid Mechanics (free jets and their applications; vortex laws and their applications; flows past bluff bodies). Finally, it gives a short summary on some advanced Fluid Mechanics measurement techniques, including the aspects of computer-controlled data acquisition and processing. The subject is supplemented by a more detailed discussion on the specific chapters related to the individual research projects of the PhD students involved. FLUID MECHANICS II. (PhD Final exam) BMEGEÁT4A09 3 cp Responsible and lecturer: Dr. Kristóf, Gergely Vorticity transport equation, potential flow, methods for analytical solutions. Darcy-flow, sources. Boundary layers, solutions for laminar and turbulent boundary layer flows based on

similarity rules. Overview of Computational Fluid Dynamics (CFD), turbulence models. Basics of gas dynamics, wave phenomena. Isentropic flow, Prandtl-Meyer expansion, expansion waves. Normal and oblique shockwaves, shockwave reflection. Free jets. Open surface flows and flow in closed conduits. Pipeline networks, transient flows. Atmospheric flows. FLUID MECHANICS MEASUREMENTS BMEGEÁT4A16 3 cp Responsible: Dr. Vad, János Lecturers: Dr. Balczó, Márton; Dr. Suda, Jenő Miklós; Dr. Parti, Mihály, Dr. Vad, János Introduction. The need for fluid mechanics measurements. Practical / industrial necessity of fluid mechanics measurements in general. Quantities to be measured. Notes on fluid mechanics measurements. Aspects of „being advanced”. Measurement of temporal mean pressures: static, total, dynamic. Probes and methods. Manometers. Pressure-based measurement of velocity magnitude and direction. Anemometers, thermal probes. Measurement of unsteady pressures. Temperature measurements. Practical aspects. Collaboration of measurement technique and computational simulation. Practical aspects. Flow rate measurements with use of contraction elements and deduced from velocity data. Comparison. Flowmeters: ultrasonic, MHD, capacitive cross-correlation technique, Coriolis, vortex, rotameter, turbine, volumetric. Laboratory display. Industrial case studies. GAS DYNAMICS BMEGEÁT4A17 3 cp Responsible and lecturer: Dr. Kristóf, Gergely Non-viscous, steady, isentropic flow in channel of variable cross-section. Standing and moving normal shockwave. Shockwave reflection. Shockwave tube. Flow with thermodynamic and viscous effects. Oblique shockwaves and their reflection. Small perturbation theory. Similarity rules and assumptions. INDUSTRIAL AIR TECHNOLOGY BMEGEÁT4A21 3 cp Responsible and lecturer: Dr. Vad, János Fundamentals of operation and classification of gas-handling, enthalpy-increasing turbomachinery (fans, blowers, compressors). Design guidelines of axial and radial flow turbomachines. Recent trends in turbomachinery research. Collaboration of fluid machinery and the connected system. Control, operational aspects. On-site measurements. Industrial case studies. ENVIRONMENTAL TECHNOLOGY I. (PhD, PhD Final exam) B MEGEÁT4A32 3 cp Responsible: Dr. Vad, János Lecturer: Dr. Parti, Mihály Biosphere and environment. Pollutants, pollution of environment. Sources, emission, transmission, immission, conversion. Protection of environment, prevention, reduction. BAT. Integrated pollution prevention and control. Direct and in-direct greenhouse gases, greenhouse effect, global warming. Civil movements and international conferences. Results and failures. Sustainable development. Kyoto Protocol. Ecological footprint and biological capacity of the earth. Atmosphere and climate, climate change. Water, water-use, water resources and waste-water. Biodiversity. Mankind. Energy, energy use, energy sources, fossil and renewable energy sources.

ENVIRONMENTAL TECHNOLOGY II. (PhD Final exam) B MEGEÁT4A15 3 cp Responsible: Dr. Vad, János professor Lecturers: Dr. Parti, Mihály; Dr. Suda, Jenő Miklós

A: Treatment of gaseous components: Absorption, equilibrium, equilibrium curve. Selection of solvent. Material balances, operating line, minimum liquid-gas ratio. Flow sheet for sulphur dioxide absorption. Adsorption,. equilibrium, adsorbents, adsorption plant, packed beds, regeneration of adsorbents. Application of adsorption. Chemical waste gas treatment. Decreasing nitrogen-oxides content. Gas diffusion and membrane contactors. Advantages and disadvantages. B: Particle removal from gases: Aerosols. Particle dynamics. Momentum equation for particles in gas flow. Mass balance of a separator, overall efficiency, penetration, fractional efficiency. Mean particle concentration, measurement of particle concentration, sampling process. Particle removal from gases: main forces/effects. Settling chambers or pre-separator louvers, Venturi-scrubbers, cyclones, electrostatic precipitators, depth/surface filters. C: Waste Water Treatment: Wastewater characteristics, pre-treatment (primary, secondary, tertiary treatment). Primary separation or clarification wastewater treatment techniques. Physical-chemical wastewater treatment techniques. Biological treatment techniques for biodegradable waste water. Wastewater sludge treatment techniques, sludge disposal. Students may select among A, B or C part according to the research topic of the PhD. LARGE EDDY SIMULATION BMEGEÁT4A34 3 cp Responsible: Dr. Kristóf, Gergely Lecturer: Dr. Lohász, Márton Máté Engineering motivations. Filters for incompressible Navier-Stokes equation. Properties of basic filters. Numerical requirements of simulation. Strategies for under-grid-resolution modelling. Interaction between numerical and modelling errors. Practical aspects of simulation. Special boundary conditions for Large Eddy Simulation: setting of the inlet turbulence. Hybrid and zonal LES/RANS approaches. Evaluation of results. Topological description of flow. Methods for vortex detection. Industrial case studies. Introduction to numerical aeroacoustics. Large Eddy Simulation in aeroacoustics. COMPUTATIONAL FLUID DYNAMICS BMEGEÁT4A14 3 cp Responsible, lecturer: Dr. Kristóf, Gergely Summary of governing equations of motion in fluid dynamics, possibilities & methods for numerical solutions, the applied boundary conditions. Main assumptions, neglected / disregarded terms. Basic methods for discretising: finite difference, finite element and finite volume methods. Consistence, stability, convergence. Numerical solutions for the governing equations. Application of commercial CFD codes. methods for grid generation / meshing, setting up the boundary conditions. Various modes for running simulations. Analysis of the simulation results. TURBULENCE AND ITS MODELLING BMEGEÁT4A33 3 cp Responsible: Dr. Kristóf, Gergely Lecturer: Dr. Lohász, Márton Máté

Concept of turbulence. Properties of turbulence. Statistical description, higher moments, and visual interpretations, uncertainty of its expected value in turbulent flows, correlation functions, length and time scales. Reynolds-equation, properties of the Reynolds-stress tensor, transport equation for the Reynolds-stress tensor and for the kinetic energy. Scales of turbulence, Kolmogorov spectra. Flow similarity, properties of free shear layer flows and wall boundary layers. Concept for coherent structures. Eddy-viscosity models, determination of its coefficients, and their uncertainties. Large Eddy Simulation.

Department of Energy Engineering THERMODYNAMICS (PhD Final exam) BMEGEEN907D 3 cp Lecturer: Dr. Imre, Attila R. Thermodynamic systems and surroundings. State variables, equation of states. Zeroth Law. Classification of processes. Works and heat. The First Law for various systems. Material properties in thermodynamics. Second Law; entropy and its properties. Thermodynamic potentials. Conjugate variables; the Maxwell-equations of thermodynamics; Euler-equation; Gibbs-Helmholtz equations; Gibbs-Duham equation; chemical potential. Phase equilibrium, phase rule. Calculation of thermodynamic properties from measurable quantities. Exergy. Thermodynamic cycles. Mixtures of gases. Third Law. Chemical reactions, enthalpy of reactions. HEAT TRANSFER (PhD Final exam) BMEGEEN007D 3 cp Lecturer: Dr. Gróf, Gyula Basic forms and equations of heat transfer. Mathematical basics of solution of heat conduction problems. Numerical methods. Basic equations of convective heat transfer. Boundary layer and its role in heat transfer. Classification of fluid flows. Convective heat transfer cases. Heat transfer of boiling and condensation. Heat transfer by radiation. Radiation of gases. ENERGY MANAGEMENT I (PhD Final exam) BMEGEEN8344 3 cp ENERGY MANAGEMENT II (PhD Final exam) BMEGEEN834S 3 cp Lecturer: Dr. Ősz, János Power supply (primary, secondary fuels, sectors, end users) and sustainable development (competitiveness, security of supply, environmental protection). Energy efficiency in the field of fuel, heat and electricity utilization. Primary and secondary energy supply of the World, Hungary and EU. Hydrocarbons (oil, natural gas, generation, transmission, processing, storage and distribution). Stand alone, central and district heat supply (heating, cooling). Electricity generation in thermal power plants (fossil fueled power plants, gas and combined gas-steam power plants, fuel cells), pressurized water and boiling water nuclear power plants. Low-carbon emission coal-based electricity production. Combined heat and power generation (steam power plants, gas turbine and gas engine combined gas-steam power plants, heat pumps). Renewable energy sources (hydro, wind, solar, biomass (waste), geothermal heat and power generation). Grid (natural gas, electricity, district heating) power systems (demand, process, operational models, security of supply). Energy policy: prices, internal and external costs, ownership, operation models in a globalized world. THERMAL POWER PLANTS I. (PhD Final exam) BMEGEENHD S1 3 cp THERMAL POWER PLANTS II. (PhD Final exam) BMEGEENH DS2 3 cp

Lecturer: Dr. Bihari, Péter Power balance of electrical power system, importance of back-up power plants in the system and defining their required size. Economic evaluation of heat and electricity production. Utilisation of renewable energies in heat and electricity production and their effects on the system grid. Optimal supply allocation in the energy production. Handling and describing the externalities in the energy production. Technologies in power generation, tri- and polygeneration systems. Smart and microgrids in the electricity production. Production planning during operation of power plant. Relation between greenhouse effect and production of electricity in thermal power plants. Development trends in power plant technology. Advanced combined cycle power plants (CCPP), role of the coal in CCPP. Complex systems for environmental protection in fossil fuel fired thermal power plants. HEAT ENGINES I. (PhD Final exam) BMEGEKG8306 3 cp HEAT ENGINES II. (PhD Final exam) BMEGEKG8307 3 cp Lecturer: Dr. Bereczky, Ákos Introduction of the theoretical and real working cycles of the boilers and steam generators, cooling and heat pump systems, steam and gas turbines and internal combustion engines. The interaction of the real working cycle and design of the mechanisms and the systems will be presented too. Modeling procedures started from theory to real process analysis will be shown, including the load control and control loops of the systems. Also will be presented the safety and environmental protection requirements; reduction of emissions and methods of application of these techniques. Validation of the energy and economic aspects of the construction, in planning and in operation HEAT ENGINES BMEGEKG8308 3 cp Lecturer: Dr. Bereczky, Ákos Students will be introduced the real procedures in heat engines and energy conversion systems by reaction kinetics, flow- and thermal-dynamical analysis. The real operation and structures of different equipment and evaluation procedure will be demonstrated. Through the examples the operation will be presented in the aspects of energy efficiency and environmental protection. Modeling procedures started from theory to real process analysis will be presented too. COMBUSTION TECHNOLOGY I. (PhD Final exam) BMEGEKG 8315 3 cp COMBUSTION TECHNOLOGY II. (PhD Final exam) BMEGEKG 8316 3 cp Lecturer: Dr. Lezsovits, Ferenc Properties of fuels. Firing of fossil and biomass fuels. Physical parameters and chemical equations of combustion. Possible structures and stability of flames and parameters having effect on them. Modelling of combustion procedures. Procedures in combustion procedures including chemical reaction, fluid flow, heat transfer and correlations among them. Integration possibilities of catalytic procedures. Reduction of pollutant emission and environmental effects. Evaluation of different firing solutions of solid, liquid and gaseous fuels. Case studies and optimizations connected with firing parts of PhD processes in Furnaces, Gas turbines and Integral Combustion Engines. COMBUSTION TECHNOLOGY BMEGEKG9315 3 cp

Lecturer: Dr. Lezsovits, Ferenc Thermodynamics of combustion process, reaction kinetics, ignition procedures. Flame propagation in laminar and turbulent flow. Possible structures and stability of flames and parameters having effect on them. Modelling of combustion procedures. Procedures in combustion procedures including chemical reaction, fluid flow, heat transfer and correlations among them. Integration possibilities of catalytic procedures. Reduction of pollutant emission and environmental effects. Evaluation of different firing solutions of solid, liquid and gaseous fuels. Explosion and firing safety questions of firing and fuel technologies. INTERNAL COMBUSTION ENGINES BMEGEKG8621 3 cp Lecturer: Dr. Bereczky, Ákos The topics of the lectures are the follow: main elements and definitions, theoretical and real cycles of the engines, losses and main related parameters. Introduction of the mixing systems, ignition systems and abnormal combustion processes of spark ignition engines. The subject covers in detail of the combustion process and mixing and control systems of the compression ignition engines. Presentation of the down-sizing technologies and environmental protection requirements and reduction of emissions, GAS AND STEAM TURBINES BMEGEKG8622 3 cp Lecturer: Dr. Sztankó, Krisztián Working processes of gas turbines, axial and centrifugal type compressors, axial and centripetal turbines. One and multi shafted gas turbines. Cooling of blades. Working processes of steam turbines, saturated steam operation, reheating, back pressure and extraction of steam. High speed steam turbines. Connected gas and steam turbines in case of combined cycles. COOLING MACHINES AND HEAT PUMPS BMEGEKG8625 3 cp Lecturer: Dr. Maiyaleh, Tarek Goals and purposes of application of cooling equipment and heat pumps. Impacts of the environmental protection, safety and energy related points of view in application and evolving. Systems with storage. Combined cooling and heating equipment. Absorption equipment. Economical aspects. THERMODYNAMIC WORKING FLUIDS BMEGEENDTDM 3 cp Lecturer: Dr. Imre, Attila R. The Laws of Thermodynamics. Equation of states. Energy-conversion. Efficiency. Adiabatic, isobaric, isothermal and other processes. Thermodynamic cycles. Heat engines. Traditional and novel working fluids. Supercritical working fluids and metastable fluids. Chemical properties of energetically relevant working fluids. Economical, sociological and other aspects. The criteria for working fluid selection. FLUIDIZED BED CONVERSION BMEGEENDFAK 3 cp Lecturer: Dr. Szentannai, Pál

Hydrodynamics, Regimes of Fluidization, Gas-Solid mixing, Gasification, Gas cleaning, Combustion. Biomass combustion, Fuels, Emissions, Heat transfer, Bubbling fluidized bed boiler, Circulating fluidized bed boiler, Solid handling systems in fluidized beds, Air distribution grate, Gas-solid separators, Solid recycle systems, History, Current role and significance, Directions of actual development, Scale-up. NONEQUILIBRIUM THERMOMECHANICS OF SOLID CONTINUA BMEGEENDSKT 3 cp Lecturer: Dr. Fülöp, Tamás Equilibrium thermodynamics of homogeneous solid bodies. Nonequilibrium extensions. The Second Law and the role of entropy in asymptotic stability. Conventional kinematic quantities of solid continua. Objectivity, spacetime. Spacetime-friendly kinematic quantities: elastic, thermal expansion, plastic. Spacetime-friendly constitutive functions. The dynamical set of equations. Rheological/viscoelastic extension. Experimental investigations. Lessons and perspectives: theory, experiment, engineering applications.

Department of Building Services and Process Engineering

BUILDING SERVICE SYSTEMS I. (PhD Final exam) BMEGEÉP8305 3 cp BUILDING SERVICE SYSTEMS II. (PhD Final exam) BMEGEÉP0305 3 cp Lecturers: Dr. Garbai, László; Dr. Bánhidi, László; Dr. Barna, Lajos; Dr. Kajtár, László; Dr. Szánthó, Zoltán

The concept of building service systems, interactions between the building and the system. Concept, classification and main elements of heating systems. Sizing of heating system and system elements, determination of heating load and system performance. Concept, function and classification of ventilation and climatisation systems for comfort spaces and operating rooms. Dimensioning and selection of system elements. Concept, classification, sizing and selection of communal systems: water, sanitary, gas and district heating network. Control systems and building automation. Building and building service system simulation. Energy efficiency and environmental aspects. COMFORT THEORY I. (PhD Final exam) BMEGEÉP8309 3 cp COMFORT THEORY II. (PhD Final exam) BMEGEÉP0309 3 cp Lecturers: Dr. Bánhidi, László; Dr. Kajtár, László Concept and sizing of well-being and thermal comfort indoors taking into account subjective and objective parameters. Heat balance of the human body, determination of predicted thermal sensation, PMV-PPD theory. Role of indoor air quality in human well-being. Viewpoints, requirements, guideline values and sizing principles of air quality assessment. Heat balance of a building, insulation, "solar gains". Sizing based on stationary and non-stationary models. Heat and moisture transport in the building envelope, thermal storage capacity, surface temperatures. Causes of mould development, possibilities to avoid it. Healthy and sick buildings. Ensuring comfortable indoor environments with heating and ventilation systems, different thermal comfort and air quality levels produced by different systems. Selection of heating, ventilating and air-conditioning systems based on thermal comfort and air quality requirements.

HEATING (PhD) BMEGEÉP9531 3 cp Lecturers: Dr. Bánhidi, László; Dr. Csoknyai, István Gravity and pump driven heating systems, pressure pattern. System circuits, boiler room and district heating central station. Dimensioning and control of gravity and pump driven heating systems. Heat cost allocation and heat metering. Steam heating. Special heating systems. Electric, solar and geothermal energy utilisation. Low temperature heating systems. VENTILATION SYSTEMS I. (PhD) BMEGEÉP8533 3 cp Lecturer: Dr. Kajtár, László Ventilation system and their alignment, classification from design aspects. Determination of supply airflow rate for continuous and periodic ventilation. System requirements. Designing ventilation systems in closed spaces. Air distribution system types. Comfort and technological aspects of ventilated spaces. Theory of complex design and sizing of air duct systems. VENTILATION SYSTEMS II. (PhD) BMEGEÉP8534 3 cp Lecturer: Dr. Kajtár, László Important aspects of designing ventilation systems. Designing ventilation systems for natural and mechanical ventilation. Elements of ventilation systems. Sizing of air heaters. Air humidifiers. Air dryer sizing. Ventilation in clean-rooms. Industrial ventilation systems and their elements. AIR-CONDITIONING (PhD) BMEGEÉP9535 3 cp Lecturer: Dr. Kajtár, László Physical principles of moist air. Heating and cooling load calculations. Main elements of the air-conditioning systems. Elements of the air handling units. Flowcharts. Energy saving air-conditioning systems. Customized air conditioning equipment. AIR-CONDITIONING SYSTEMS (PhD) BMEGEÉP9536 3 cp Lecturer: Dr. Kajtár, László Systems with central air handling units. Air-conditioning systems with local intervention design. Multi Zone Air Conditioning Systems. VAV and VRU systems. Indoor Air Quality providing, effect of air exchange and air distribution. Types of air-conditioning systems, comfort spaces, clean rooms, operating rooms, air-conditioning for different technologies. PROCESS INSTRUMENTATION AND CONTROL I. (PhD Final e xam) BMEGEVÉ613S 3 cp PROCESS INSTRUMENTATION AND CONTROL II. (PhD Final exam) BMEGEVÉ613Z 3 cp Lecturer: Dr. Balázs, Tibor Production processes description and challenges. Process control and information system hierarchy. Typical instrumentation requirements. Field devices (sensors, smart transmitters, final elements, valves, PLCs). Industrial temperature, pressure, fluid flow, level measurement and control. Instrumentation documentation and drawing (P&ID).

Process Dynamics models. (Evaporator, reactor state space model). Advanced regulatory control (cascade, ratio, split-range). Control for interacting process loops (variable pairing, decoupling). Batch manufacturing and batch control models and terminology PROCESSES AND EQUIPMENT I. (PhD Final exam) BMEGEVÉ612S 3 cp PROCESSES AND EQUIPMENT II. (PhD Final exam) BMEGEVÉ612Z 3 cp Lecturers: Prof. Láng, Péter; Dr. Örvös, Mária Selected chapters of mechanical, thermal and diffusion processes. Special heat transfer problems, dimensioning methods. Mixing models. The operation of evaporation and its optimisation. Modelling of diffusion processes, solution of absorption and distillation problems. Dimensioning of stagewise and continuous contactors. Description of simultaneous heat and mass transfer with lumped and discrete parameters. Membrane separation methods. PROCESS EQUIPMENT DESIGN I. (PhD Final exam) BMEGEVÉ614S 3 cp PROCESS EQUIPMENT DESIGN II. (PhD Final exam) BMEGEVÉ614Z 3 cp Lecturer: Dr. Nagy, András Construction of storage tanks, mixers, heat exchangers, and columns used in chemical and food industry. Design guidelines, engineering materials, shape and size, manufacture process and economic issues, reliability, transport and installation guarantee. The creation of a structural, load and calculation models. The appropriate strength, sufficient stiffness, heat or low temperature and corrosion resistance and ensure economically exploitable life. Typical structural solutions, flanged joints, gaskets, nozzles and joints, force-insertion site and design of support structures. Static and dynamic control of pipelines. Corrosion protection aspects of the design. Vacuum devices and high-pressure equipment design. Design of hybrid structures made of reinforced plastic and metal equipment and special composite systems. Optimization and computer-aided design. TRANSPORT PHENOMENA I. (PhD Final exam) BMEGEVÉ611S 3 cp TRANSPORT PHENOMENA II. (PhD Final exam) BMEGEVÉ611Z 3 cp Lecturer: Prof. Láng, Péter Description of heat, mass and momentum transport with non-equilibrium thermodynamic methods and phenomenological equations. Relation between thermodynamic and phenomenological equations. Similarity of laminar and turbulent transports. Similarity and generalisation of boundary layer equations. Problems of simultaneous transports, their interactions and solution facilities. ENVIRONMENTAL PROTECTION SYSTEMS BMEGEVÉ617D 3 cp Lecturers: Prof. Láng, Péter; Dr. Örvös, Mária Treatment and disposal of gaseous, liquid or solid municipal and hazardous wastes. Recycling of solid, liquid and gaseous wastes and byproducts of manufacturing processes. Solid waste management, waste water treatment and gas purification systems. Optimal operation parameters of the systems. MODELLING OF FOOD INDUSTRIAL PROCESSES BMEGEVÉ6 26D 3 cp Lecturers: Dr. Örvös, Mária; Dr. Both, Kinga

Analysis of food industrial processes. Mechanical, hydromechanical, thermal and diffusion processes in food industrial equipment (squeezing, milling, sterilization, chilling and freezing). Modelling of simultaneous heat transfer and diffusion processes. Description equations, solution possibilities. PROCESS SIMULATION (PhD) BMEGEVÉ623D 3 cp Lecturers: Prof. Láng, Péter; Dr. Balázs, Tibor Problems of similarity. Different description and solution facilities. Methods of investigation. Design of experiments. General two phase and three phase equilibrium stage models. Types of model equations. Degrees of freedom, specification. Phase equilibrium calculations. Simulation of countercurrent separation processes (distillation, absorption, stripping, extraction) with a professional flow-sheet simulator. GREEN TECHNOLOGIES BMEGEVÉ619D 3 cp Lecturers: Dr. Örvös, Mária; Dr. Láng, Péter; Dr. Both, Kinga Technologies using biological materials as raw materials. Technologies and equipment of bioethanol production. Production technologies of biodegradable lactic acid from grain. Biorefinement. Study of biodiesel production systems. Technology systems of renewable energy sources. Biomass production for industrial raw material and energy purposes. Production and purification of biogas.

Department of Machine and Product Design

ENGINEERING DESIGN I. (PhD Final exam) BMEGEGE014D 3 cp ENGINEERING DESIGN II. (PhD Final exam) BMEGEGE015D 3 cp ENGINEERING DESIGN BMEGEGE004D 3 cp Lecturers: Dr. Bercsey, Tibor; Dr. Horák, Péter The process and models of engineering design. Design theory schools, design strategies. The integrated product design and development. Analysis type of engineering design tasks. Behavior and state of structural system. Dimensioning models. Elastic-plastic dimensioning procedures. Stochastic methods of fatigue dimensioning. Operational strength, impairment, and failure. Tribology dimensioning. Planning of quality control and reliability. Modelling and simulation, experiment planning. Solving synthesis type tasks in engineering design. Problem analysis, list of requirements and functions, functional structures. Physical effects, effectors. Principle solutions, concept variants. Topology of structures. Architecture types. Requirements and boundary conditions in elaboration. Cost, human factors, technology, environmentally conscious design. Technical, economical, and usage values. Failure analysis, weak point discovery, value healing and value engineering. Optimization procedures. Increase in the effectiveness of the design process. NUMERICAL METHODS IN MACHINE DESIGN (PhD Final exam ) BMEGEGE003D 3 cp Lecturers: Dr. Váradi, Károly; Dr.Goda, Tibor General techniques of structural analysis. Generating the structural and FEM models (truss, beam, shell, 2D and 3D models) .Producing combined structural and FEM models. Loading models. Advanced preprocessing and postprocessing.

Analysis of anisotropic and composite materials by FEM. Analysing material and geometric non-linearity. Evaluation of contact and stress states of structural components. Dynamic problems. Transient and steady state thermal problems. Evaluation of combined load cases. Engineering and mathematical techniques of structural optimizations. Object functions and constrains. Parametric and shape optimization. 2D and 3D structural optimization problems. DESIGN OF POLYMER PRODUCTS BMEGEGE009D 3 cp Lecturer: Dr. Grőb Péter Design methods of different polymer and composite machine elements. Analysis of metal-polymer parts. Apply of the Linear Viscoelastic Theory. Exploration of the fracture and failure of polymer parts. Design for manufacturing, design for material. Failure mode and effects analysis.

TRIBOLOGY BMEGEGE010D 3 cp Lecturers: Dr. Kozma, Mihály; Dr. Váradi, Károly Definitions, elements, experimental methods of tribological systems. Dominant parameters of the system’s behavior. Characteristic parameters of the surface of solid bodies. Contact of solid bodies. Definitions, types, laws and theories of friction and wear. Surface demages. Material selection for sliding pairs. Materials with good sliding conditions. Materials of frictional pairs. Wear resistance materials, surface layers and coatings. Lubrication: the lubricants, lubrication techniques, lubrication states. Laws of generation of limit- and hydrodynamic lubrication. DRIVE TECHNOLOGY BMEGEGE008D 3 cp Lecturers: Dr. Kozma, Mihály; Dr. Horák, Péter Requirements towards drives. Selection and evaluation criteria for drives. Mechanical drive types. Calculation of stress, carrying capacity, lifetime, losses. Mechanical drives for increased requirements. Power split and inverse power split transmissions. Linear movement and rotational movement drives. Special constant ratio mechanical transmissions. Gearboxes and variators. Sectional mechanical drives. Architecture of hydrostatic drives. Open and closed hydraulic circuits. Control, losses, efficiency, dynamics of hydrostatic drives. Drive chains, drive systems. Dynamic behavior of drive systems. PRODUCT DEVELOPMENT I. (PhD Final exam) BMEGEGET01D 3cp PRODUCT DEVELOPMENT II. (PhD Final exam) BMEGEGET02D 3cp PRODUCT DEVELOPMENT BMEGEGET11D 3cp Lecturers: Dr. Bercsey, Tibor; Dr. Horák, Péter; Zalavári, József, DLA Industrial products and characteristics. Content and management of product realization process. Goals, tasks, and activities of design and development. The reference model and other models of the product development process. Planning and management of development process. Methodology of product design and development. Integrated product development. Product design and innovation. Definition, specification, and structuring of the design problem. Problem solving methods. Inventive problem solving, TRIZ, WOIS. Principles and methods of elaboration. Evaluation and decision making methods in design. Product development and design. The value-relevant parameters in industrial design. Requirements towards form. Rational and differentiated assessment of form. Design ideas and further developments. Relation of function, technical concept, and form. User interface,

carrying and holding structures, housings (covers). Shaping for handling, usage, manufacturing, and cost. Form variants of unique and family line products. Role of product graphics, color, and surface in design. Modelling and simulation is product development. Management of product variants.

Department of Manufacturing Science and Technology

MANUFACTURING PROCESS PLANNING I. (PhD Final exam) BMEGEGT9002 3 cp Lecturer: Dr. Horváth, Mátyás The CIM system. Features and structure of computer aided manufacturing process planning (CAPP) systems. Modelling of objects, processes and systems. Man-machine communication means. Database of CAPP systems and its management. Production information systems, methods of conventional and computerized process planning. Operation sequence planning. Application of generative, semi generative and variance based methods. Solutions of structuration and optimization tasks. Application of expert systems. Group technology. Evaluation of related literature. MATERIAL AND MANUFACTURE ENGINEERING II (PhD Final exam) BMEGEGT0002 3 cp Lecturer: Dr. Horváth, Mátyás Based on Material and Manufacture Engineering I. it offers knowledge on advanced devices and equipment of part manufacturing and assembly systems. Analysis and evaluation of process planning and manufacturing systems, newly structured machine tools. Computer control, flexible automation and integration of processes and systems, improvement of quality, optimization methods of processes and effectiveness of production systems Evaluation of related literature. MANUFACTURING ACCESSORY DEVICES I. (PhD Final exam) BMEGEGT9004 3 cp Lecturers: Dr. Mátyási, Gyula The subject extends the tool design knowledge to the manufacturing science oriented PhD students. Hiearchy of manufacturing accessory devices planning, material removal and shaping, functional analysis, manufacturing geometry. Geometric design of cutting tools, and construction planning of them. Advanced tool materials and their application. Principles and methods of position determination. Modern principles of applying the fixture devices in manufacturing. Modular systems for tools and fixtures. Application of CAD / CAM systems for tool design and production planning. Advanced manufacturing processes. MANUFACTURING ACCESSORY DEVICES II. (PhD Final exam) BMEGEGT0005 3 cp Lecturers: Dr. Markos, Sándor; Databases of manufacturing accessory devices. Construction design and manufacturing planning of measurement and control equipment. Design and manufacturing planning of plastic injection molding and punches tools. Quality assurance in the tool manufacturing.

Project work in tool design and manufacturing planning applying CAD/CAM systems. Documentations for design and manufacturing process. Production programming. MANUFACTURING SYSTEMS I. (PhD Final exam) BMEGEGT9006 3 cp Lecturers: Dr. Németh, István; Dr. Váncza, István The subject focuses on the composition and layout of manufacturing systems. Building blocks, layouts, classifications, representations and mathematical models of manufacturing systems. Influence of designing methods (CAD, CAE), production planning methods (e.g. group technology, CAM, CAPP) and production control strategies (pl. just-in-time, lean manufacturing) on the design of manufacturing systems. Evaluation methods of manufacturing system. Systematic planning and design of the resources and layout of manufacturing system. Methodologies and software tools for modelling, simulation, evaluation and optimisation of manufacturing system. PRODUCTION SYSTEMS II. (PhD Final exam) BMEGEGT0007 3 cp Lecturers: Dr. Németh, István; Dr. Váncza, István The course focuses on production networks: it provides an introduction into the design, (re-) organization, and operational planning of production networks. Methods of communication are surveyed along with the issues of coordination and cooperation in networks. Both theoretical and pragmatic methods of coordination are discussed. Mathematical models of integrated production and logistics planning problems are presented by making use of an advanced mathematical programming environment. Finally, an introduction is provided into the simulation of production networks by means of agent technologies. ROBOTICS I. (PhD Final exam) BMEGEGT9008 3 cp Lecturers: Dr. Németh, István; Dr. Arz, Gusztáv; Dr. Szalay, Tibor Types, structure and control systems of industrial robots. Fundamentals of robot kinematics. Industrial robot applications (manufacturing-assembly cells, systems). Programming of industrial robots. Robot grippers. Robot application design, design supporting toolkits. Testing of industrial robots. Service robots and their applications. Robot hands. ROBOTICS II. (PhD Final exam) BMEGEGT0009 3 cp Lecturers: Dr. Szalay, Tibor, Dr. Monostori, László Design of robot applications. Design of robot movements. Planning of robot trajectories. Principles of optimal planning. Time-, technology process-, energy optimal planning. Robot dynamics. Methods of robot control. Advanced robot control methods: computed torque method, adaptive model reference method. Implementation of advanced robot control. PROCESS SUPERVISION AND DIAGNOSTICS BMEGEGT8563 3 cp Lecturers: Dr. Szalay, Tibor, Dr. Markos, Sándor; Dr. Monostori, László Modelling of the cutting process, basic tools and methods of model creation. Design of experiments (DoE). Simulation of the process, evaluation of the model. Tool condition monitoring, process diagnostics. Feature extraction, sensor integration data processing and analysis. Application of soft computing methods in monitoring. Connection of tool presetting, tool management and tool condition monitoring.

THEORY OF MACHINING BMEGEGT8564 3 cp Lecturer: Dr. Takács, Márton Basic and advanced theoretical knowledge of material removal by geometrically defined and undefined tool. Energetical, physical, mechanical and tribological phenomena at chip removal processes, limitations and consequences. Mathematical models of chip removal. Optimization. Characteristics of special and advanced chip removal processes (new materials, new tool materials, micro machining, hard machining, ultra precision machining). Classification of cutting processes. DESIGN OF METAL-CUTTING MACHINE TOOLS AND MACHINE S YSTEMS BMEGEGT8565 3 cp Lecturer: Dr. Németh, István Kinematics of metal cutting machine tools. Methods of conceiving design variants. Main types of machine tools: - from the lathe to the turning centre, - from the milling machine to the machining centre. Flexible manufacturing cells (FMC) and manufacturing systems (FMS). Structural building blocks and their selection and assembly. Precision and reliability of machine tools. CONTROL AND SUPERVISING OF MANUFACTURING SYSTEMS BMEGEGT8566 3 cp Lecturers: Dr. Monostori, László; Dr. Mezgár, István Overview the basic tasks of manufacturing control systems and the initialisation and synchronisation its processes. Introduction of the agent-based logical control model. Presentation the layers and SW elements of the ISA-95 domain hierarchy. Introduction the extended command system of NC controls, and the tasks of the controlling computer. Overview the language tools and the applicable communication, and network standards of control (e.g. OPC-UA, MAP). METROLOGY BMEGEGT8571 3 cp Lecturer: Dr. Szalay, Tibor Theory and applications of both dimensional and process measurements. Processing of measured data, design of experiments and statistical analysis. Coordinate measuring machines and coordinate measurement theory. Laser interferometry and surface digitalisation. Measuring the micro-geometry. Multisensory systems, measurements of the most important process features (force, torque, temperature, vibration …). On-line monitoring techniques. APPLIED ARTIFICIAL INTELLIGENCE BMEGEGT9101 3 cp Lecturer: Dr. Váncza, István The course is based on the material of the “Basics of Artificial Intelligence” course and provides a deeper insight into some selected fields of Artificial Intelligence (AI). The actual topics fit to the doctoral research themes of the PhD students who may tackle their own problems by making use of up-to-date AI methods, tools and techniques. However, emphasis

is put on taking a critical approach to contemporary AI methods. Survey of related literature and learning the application of some selected AI tools is part of the program. ARTIFICIAL INTELLIGENCE IN MANUFACTURING BMEGEGT91 03 3 cp Lecturers: Dr. Monostori, László; Dr. Váncza, István The design, management, monitoring and diagnostics of modern manufacturing systems call in many cases for the application of artificial intelligence (AI) tools and techniques. The course is aimed at presenting the appropriate AI methods along with their application examples, with a special emphasis on the faculties of handling uncertain information and knowledge, as well as learning. Beyond symbolic AI methods (like rule-based system) so-called subsymbolic methods using artificial neural network (ANN) representation will also be discussed. In fact, the course will centeraround the hybrid methods that combine the two main approaches.

NEURAL NETWORKS AND THEIR APPLICATIONS BMEGEGT9104 3 cp Lecturer: Dr. Monostori, László The course is aimed at presenting such methods of artificial intelligence (A) that are particularly applicable in intelligent manufacturing systems. Theoretical basics will discussed along with application examples. Specifically, the course introduces artificial neural networks (ANNs), discusses the main models and their main application areas with a special focus on manufacturing engineering. Symbolic methods of knowledge representation and reasoning (primarily, rule-based representation) will be compared with the subsymbolic approach of ANNs. Finally, hybrid models (such as hierarchical and neuro-fuzzy systems) integrating the two approaches will be discussed together with their application in manufacturing.

Department of Hydrodynamic Systems FLUID MACHINERY AND HYDRODYNAMIC SYSTEMS 1. (PhD Fi nal exam) BMEGEVG930D 3 cp FLUID MACHINERY AND HYDRODYNAMIC SYSTEMS 2. (PhD Fi nal exam) BMEGEVG030D 3 cp FLUID MACHINERY AND HYDRODYNAMIC SYSTEMS (PhD) BMEGEVG830D 3 cp Lecturer: Dr. Kullmann, László Operation of turbo machines outside of their normal operation range (under malfunction, in transient state). Rotor blade design applying the methods of complex analysis. 2D and quasi-3D models of flow in rotor blade channels. Modelling of the turbomachinery operation, similarity criteria. Hydrodynamic systems. Optimization of the energy consumption of piping systems. Models of friction loss in unsteady flow. Solution of partial differential equations of hyperbolic type, computation of 1D normal shock. Experimental methods for transient flows. Resonance phenomena of air supplying systems, stability analysis of the operation of such systems.

NONSMOOTH DYNAMICAL SYSTEMS BMEGEVG001D 3 cp Lecturer: Dr. Hős, Csaba The course provides a first insight into the qualitative and quantitative analysis of systems of ordinary differential equations and maps with nonsmooth right-hand sides. The course

material covers the analysis of impacting systems, hybrid systems and Filippov systems, stability analysis of orbits and the corresponding numerical techniques. The student projects allow direct application of the techniques on real-life engineering systems.

Department of Mechatronics, Optics and Mechanical Engineering Informatics

METROLOGY I (PhD Final exam) BMEGEFO9054 3 kp METROLOGY II (PhD Final exam) BMEGEFO9064 3 kp METROLOGY BMEGEFO9074 3 kp Responsible: Dr. Samu Krisztián Lecturer: Dr. Huba, Antal; Dr. Samu, Krisztián

The role of technical information obtained by measurement in scientific, technical research. Measurement as a modelling process. Traditional and novel models of measurement. Information theory model of measurement. Information theoretical questions in metrology: amount of information obtained by measurement, entropy of error. Classsification of origins of errors, theoretical and technical aspects of error reduction. Selected examples of the state of the art measurement methods of static and dynamic quantities in mechanical engineering. MEMS and MEOMS devices in mechanical engineering measurements, electrical and optical principles, with an emphasis on the application of fiber optics, interferometry and laser technology. Methods for realization of measurements. Organization of typical signals in mechanical engineering. Concepts of signal, message, information. Mathematical and measurement technical apparatus of signal analysis. Set-up and tasks of measurement chains, and their fitting to signals to be measured. Electronic devices of signal processing in mechanical engineering research. MECHATRONICS I BMEGEFO6206 3 kp MECHATRONICS II BMEGEFO6216 3 kp MECHATRONICS BMEGEFO6226 3kp Responsible and lecturer: Dr. Korondi, Péter Structure of mechatronics systems, tools and methods of design. Dynamical modelling. Sensors for displacement, rotational speed and acceleration, force, pressure, light and heat. Sensors for magnetic field, chemical sensors. Interface circuits for sensors. Actuators: electronic and electromagnetic, piezoelectric, magnetostrictive, thermal, shape memory alloy, pneumatic, hydraulic and electrochemical principles, drivers and interfaces. Microelectronics in mechatronics. Input and output interfaces and devices. Control of mechatronics systems. Mechatronics systems in telepresence, tactile and haptic devices. Biologically inspired constructions in mechatronics. OPTICS I BMEGEMIDSO1 3 kp OPTICS II BMEGEMIDSO2 3 kp OPTICS BMEGEMIDVOP 3 kp Responsible: Dr. Ábrahám, György Lecturer: Dr. Ábrahám, György; Dr. Wenzel, Gottfriedné

Propagation of light. Geometrical optics, wave-opticsm quantum-optics. Imaging. Basics of optical design, calculation andof measurement of aberrationsimaging errors. Types, properties and applications of lasers. Optics of the eye, eyeglasses. Optical measurement, image

processing. Robot vision. Fiber optics, optical communication. Optoelectronics. Optical instruments in medicine. Micoscopy. CD technology. Holography, interferometry. Technical photography. Colour measurements. Lighting technology. APPLIED LASER TECHNOLOGY BMEGEFO8541 3 kp Responsible: Dr. Ábrahám, György Lecturer: Dr. Ábrahám, György; Dr. Ujhelyi, Ferenc Theoretical basics of lasers. Resonators. Modal structures. Gas-lasers, liquid lasers, tunable dye lasers. Semiconductor lasers. Lasers in measurement. Optics of laser beam. Special materials in laser optics. Tecnological lasers. Space, military, medical and measurement applications of lasers. ELEMENTS OF PRECISION INSTRUMENTS BMEGEFO8542 3 kp Responsible: Dr. Samu Krisztián Lecturer: Dr. Halmai Attila, Dr. Samu Krisztián Construction elements in precision mechanics. The effect of small size. Detachable and permanent joints. Pressed joints. Linear rolling bearings and linear plain bearings. Motion blockage effect. Stopper mechanisms. Plain-bearings in precision mechanics. Horizontal and vertical jewel bearing. Torsion bearings. Power elements: operating spring and midget motor. DC servo motors, stepper motors, electronically commutated motors. Linear motors. Piezoelectric and electrostatic micro motors. Precision mechanical clutches. Gear, tractive-, armed- and camshaft motion converters. Mechanical blockers. Damper mechanisms. Handling and operating elements. Scale and hand elements. Precision adjustment mechanisms. OPTICAL INSTRUMENTS AND MEASURING TECHNOLOGY BMEGEFO8545 3 kp Responsible: Dr. Ábrahám György Lecturer: Dr. Ábrahám György, Dr. Wenzel Gottfriedné Distance and angle measurement. Optical measurement of velocity and acceleration. Photogrammetry, projectors (inclusive LCD). Laser interferometers. Measurement application of holography. Measurements with microscopes. 3 dimensional optical measurements. Moiré-technique. Stereo technique. Contactless measurement of surface roughness. Polarization. Photometry, sensiometry. CD-technology. Infra-optics. SENSORS AND ACTUATORS BMEGEMIDVSA 3 kp Responsible: Dr. Tamás Péter Lecturer: Dr. Halmai Attila, Dr. Tamás Péter Position, displacement and angle sensors. Stretch, pressure, force and acceleration sensors. Temperature sensing. Humidity, gas and gas-composition sensing. Chemical sensors. Micromechanical sensors, MEMS. Optoelectronical sensors. Imaging. Képalkotás. Spatial scanning, image reconstruction with computer. CCD line and matrix detectors, position-sensitive line detectors. Color sensors. Fibre optical sensors. Biology inspired sensors and actuators. Electronic actuators. Electromagnetic actuators: DC, stepper and electrically commutated motors. Linear motors. Pneumatic and hydraulic actuators. Special (piezo, shape memory alloy, electro- and magnetorheological) actuators. Microtechnical actuators.

COLORIMETRY BMEGEFO8547 3 kp Responsible: Dr. Samu Krisztián Lecturer: Dr. Wenzel Gottfriedné, Dr. Samu Krisztián Photometry and radiometry. Basics of colour vision. The CIE colour system. Methods of colour measurement: visual-, tristimulus-, and spectrophotometric methods. Colour measurement instrument constructions. Light sources. Standard illuminants. Colour Rendering Index (CRI). Colour temperature (CT), and correlated colour temperature (CCT). Colour reproduction of TV, PC and video systems. Colour measurement in agriculture-, food-, textile- and cosmetic industry. Colour psychology and visual acuity. Types of colour deficiency. Measurement and correction of color deficiency. Information processing by colours. Colorimetry calculus. Metamerism and metameric index (MI).

Department of Applied Mechanics

MECHANIKA I. (Fundamentals of continuum mechanics, PhD Final exam) BMEGEMM011D 3 cp

Lecturers: Dr. Béda, Gyula; Dr. Kossa, Attila Summary of tensor algebra and tensor analysis. Introduction of general curvilinear coordinate systems. Kinematics of continuous medium, deformation gradient, strain tensors, material time derivative, velocity and acceleration fields, velocity gradient, objective rates. Equations of motions. Brief summary of thermodynamics. Constitutive equations for continuous medium: fluids, elastic materials, Green’s elasticity. Developing material models. MECHANIKA II. (Advances in continuum mechanics, PhD Final exam) BMEGEMM021D 3 cp Lecturers: Dr. Béda, Gyula; Dr. Kossa, Attila Recent advances in material modeling. Brief summary of linearized kinematics. Developing material models based on phenomenological aspects; thermodynamical basis; microsturtural investigations. Constitutive equations for finite strain problems. Elastodynamics, wave equation. General representation of acoustic tensor. Relation between the wave equation and the constitutive equations, its application in material testing. Kinematics and dynamics of micropolar materials. Elastic micropolar mediums. Governing equation for the Cosserat medium. MECHANIKA II. (Large elastoplastic deformation, PhD Final exam) BMEGEMM024D 3 cp Lecturer: Dr. Szabó, László Review of the different multiplicative decompositions of the deformation gradient. Definition of the stress-free configuration. Physically objective stress rates. The concept of conjugate stress and strain pairs. Introduction to the macroscopic (continuum) and microscopic theories of plasticity. Hyperelastic and hyperelastic constitutive models. Variational principles and nonlinear finite element models. Incremental forms of the virtual work. Iterative solution methods for the nonlinear finite element equations. Finite element algorithms for large deformation (large displacements, large rotation and finite strain). Review of the various

material nonlinearities and their finite element methods. Basics of the numerical integration methods (stress updating) of the constitutive equations and the consistent tangent modulus. NUMERICAL METHODS (Numerical Methods in Mechanics, PhD Final exam) BMEGEMM031D 3 cp Lecturer: Dr. Kovács, Ádám Finite difference methods in the solution of linear first- and second-order ordinary differential equations. Applications in instationary diffusion-type and structural dynamics problems. Method of weighted residuals, Galerkin-method. Use of the finite element method in nonlinear problems (elastic-plastic deformation, large displacement). Approximate methods of structural dynamics problems. Application in beam and plate problems. MECHANICS I. (Dynamics, PhD Final exam) BMEGEMM012D 3 cp Lecturer: Dr. Stépán, Gábor Holonomic rheonomic systems, Lagrangian equation of the 2nd kind. Hamilton Principle and its generalizations. Partial differential equations of continua derived from variational principles. Hamiltonian equations of motion, first integrals. Routhian equations of motion. Cyclic and essential coordinates, cyclic systems. Critical speed of rotating shafts. Gyroscopic systems. Wilson pendulum. Chaotic motion in conservative systems. Dissipative and pseudo-gyroscopic forces. Dynamics of rotating shafts above the critical speed. Two laboratory practices. MECHANICS II. (Analytic, PhD Final exam) BMEGEMM02 2D 3 cp Lecturer: Dr. Stépán, Gábor Classification of constraints, degrees of freedom, general coordinates, possible and virtual velocities, variation of velocities. Classification of mechanical systems. Non-stationary systems, gyroscopic forces, parametric excitation. Mathieu equation, Hill equation, Floquet theory. Incze-Strutt stability chart. Parametric excitation of multi degree-of-freedom systems and continua. Quasi-periodic and period doubling vibrations. Non-holonomic systems. Lagrangian equation of the first kind, Routh-Voss equations, Appell equations. Dynamics of sledge, rolling penny, towed wheel, joy-stick controlled robots. MECHANICS I. (Robot mechanisms, PhD Final exam) BMEGEMM013D 3 cp Lecturer: Dr. Szabó, Zsolt

Kinematic and dynamic analysis of industrial robots in different domains of the operational space. Kinematics: effective methods of inverse kinematics. Problems of redundant systems. Robot mechanisms with open and closed kinematic chain. Parallel manipulators. Problems of collaborative robotic arms. Dynamics: effective methods of inverse dynamics. Symbolic generation of the equations of motions. Inverse dynamic problems of models with closed kinematic chain (collaborative robotic arms, walking robots, robotic hands with multiple fingers, etc.). Operational space: definitions and subspaces. Determining workspace qualifying properties (mobility, load capacity, etc.). DYNAMICS AND SIMULATION OF MULTIBODY SYSTEMS BMEGEMM199D 3cp Lecturer: Dr. Zelei, Ambrus

Review of the mathematical and geometric background. Description of spatial position and orientation of rigid bodies. Application of the Euler angles and the quaternions for the description of spatial orientation. Derivation of equation of motion by means of the Newton-Euler and the Lagrangian formalism. Lagrange equations of motion of the first kind. Classification of constraints. Application of minimal set (generalized) coordinates and redundant set coordinates coordinates for the geometric description of mechanical systems. Natural coordinates. Numerical methods for solving constrained equations of motion. Method of Lagrange multipliers, Baumgarte-method, penalty methods. Serial and parallel robots and mechanisms, closed kinematic loops. Application of Wolfram Mathematica, Matlab, and other softwares for dynamic modeling and simulation. Lab seminar included. MECHANICS OF COMPOSITES BMEGEMM151D 3 cp Lecturer: Dr. Szekrényes, András Material law of anisotropic bodies, stiffness and compliance matrices. Transformation of stresses in orthotropic layers. Classical (Kirchhoff) theory of laminated plates. Extensional, coupling and bending stiffness matrices, matrix equation of laminated plates. Equilibrium equations and equations of motion for thin laminated plates. Poisson and Kirchhoff type boundary conditions. Pure bending of rectangular plates, theory of long plates. Stress distribution in laminated plates. Navier and Lévy type solutions for rectangular plates. Convergence studies. Application of Cauchy state-space model to plate bending problems. Stability of orthotropic plates under in-plane load. Mindlin plate theory. Free torsion of orthotropic composite beams. Quadratic failure criterion and its variants (Tsai-Hill, Hoffmann, Tsai-Wu and maximum stress criteria). Micromechanical analysis of composite materials. Linear and nonlinear vibrations of simply supported laminated plates.

Department of Polymer Engineering NANOCOMPOSITES BMEGEPT0111 3 cp Lecturers: Dr. Mészáros, László; Dr. Karger-Kocsis, József This course focuses on the nanocomposites, their components (nanomaterials and matrix materials), manufacturing methods, characterization and applications. Different types of nanomaterials will be presented, that can influence the mechanical, thermal, electrical, etc. properties of the matrix materials by different ways. The major preparation routes of these nanocomposites are discussed. POLYMER STRUCTURES I. (PhD exam) BMEGEPT9107 3 cp POLYMER STRUCTURES II. (PhD exam) BMEGEPT0107 3 cp POLYMER STRUCTURES (PhD) BMEGEPT8107 3 cp Lecturers: Dr. Vas, László Mihály; Dr. Karger-Kocsis, József Structure, morphology of polymer fibres, statistical description methods, test methods. The relationship between structure and physical properties. Polymer solutions, properties of amorphous and semicrystalline polymers. Compatibility, polymer blends and alloys. Behaviour under mechanical load. Deformation and structural causes, the influence of temperature. Free volume theory, WLF equation, similarity principles. High elastic deformation, ideal rubber polymer network model and its amendments. Rheological models,

linear viscoelastic theory, nonlinear methods. Strength of polymers, fracture behaviour and fracture mechanics tests. Highly oriented polymers, fibre strength models. POLYMER PROCESSING TECHNOLOGIES I. (PhD exam) BMEGEPT9108 3 cp POLYMER PROCESSING TECHNOLOGIES II. (PhD exam) BME GEPT0108 3 cp POLYMER PROCESSING TECHNOLOGIES (PhD) BMEGEPT8108 3 cp Lecturers: Dr. Czvikovszky, Tibor; Dr. Czigány, Tibor; Dr. Karger-Kocsis, József Processing of thermoplastic polymers. Rheology and processing of thermoplastic polymers. Process control of melting, mixing and further processing of thermoplastics. Extrusion, automation and computer controlled injection moulding. Automatic control of the production of hollow bodies from thermoplastic polymers. Polymer composites technologies. Reinforcing fibres of advanced polymer composites. Carbon fibres, glass fibres, organic fibres. Thermoset and thermoplastic polymeric matrices. Role and assessment of fiber-matrix interphase. Pultrusion. Production of laminated structures. Composite winding technologies. Test methods for polymer composites. POLYMER COMPOSITES I. (PhD exam) BMEGEPT9110 3 cp POLYMER COMPOSITES II. (PhD exam) BMEGEPT0110 3 cp POLYMER COMPOSITES (PhD) BMEGEPT8110 3 cp Lecturers: Dr. Czigány, Tibor; Dr. Vas, László Mihály; Dr. Karger-Kocsis, József Raw materials of polymer composites, properties of the most common matrix and reinforcing materials, reinforcing fibre structures. Fibre reinforcement of advanced polymer composites. Carbon fibres, glass fibres, mineral and polymer fibres. Natural fibres. Thermosetting and thermoplastic polymer matrices. Fibre-matrix interface/interphase. Hybrid polymer composites. Polymer composites: manufacturing technologies. Sandwich structures. Pultrusion. Manufacturing of laminated structures. Composite wending technologies. SMC and BMC technologies. Special manufacturing processes. Methods for testing and certification of products made of composites. Static and dynamic tests. Destructive and non-destructive testing of polymer composites. Recycling issues. Design and production. Special application fields of polymer composites.