parallel kinematic machine tools – current state and
TRANSCRIPT
Parallel Kinematic Machine Tools – Current State and Future Potentials
M. Weck (1), D. StaimerLaboratory for Machine Tools and Production Engineering, Chair for Machine Tools
Aachen University of Technology, Aachen, Germany
AbstractParallel kinematics have recently attracted attention as machine tools because of their conceptualpotentials in high motion dynamics and accuracy combined with high structural rigidity due to their closedkinematic loops. This paper, prepared with input from CIRP colleagues as well as of machinemanufacturers and end-users involved in PKM, attempts to review the development of parallel kinematicsfor machine tools, their practical application and their performance compared to classical machine tools.
Keywords:Manufacturing Equipment, Parallel Machines, Performance
1 INTRODUCTIONParallel mechanisms, well established as handling andpositioning devices, have recently attracted attention asmachine tools because of their conceptual potentials inhigh motion dynamics and accuracy combined with highstructural rigidity due to their closed kinematic loops.Starting with the public presentation of the first parallelkinematic machines (PKM) on the IMTS fair in 1994,extensive research has been conducted both in univer-sity laboratories as well as in machine tool industry.During the last decade, more than 200 different parallelmechanisms, mostly as prototypes or academic studies,have been build [1].In spite of this high interest and research efforts, themarket response to PKM was quite poor and mostmachines have been evaluated in university laboratoriesrather than in a production environment [2]. In addition,there are highly antagonistic opinions about PKM tech-nology; the concept is claimed to be inferior to serialmachines and practically not useful [3] on the one handbut called the innovation focus on the Metav fair 2000 [4]on the other hand. This paper attempts to review thedevelopment of machine tools based on parallel kine-matics and their characteristics compared to classicalmachine tools.
2 BACKGROUNDParallel mechanisms are studied since around 1800 bymathematicians, e.g. Cauchy, since they provide inter-esting mathematical problems, e.g. the singularity analy-sis. More recently, Gough [5] and Stewart [6] used“hexapod” type parallel mechanisms for tire testing andas actuated flight-simulator, Figure 1. Even in the 60’s,the application of such structures as machine tools hasbeen discussed but rejected due to the lacking controltechnology. Parallel structures have been re-discoveredin the 80's in the robotics community. The most populardesigns are the Delta robot [7] and the Tricept [8]. Bothstructures have been commercialised and can be foundin different industrial applications [9].The first prototypes of parallel machine tools have beenintroduced to public at the IMTS show 1994 Chicago.The machines were intended for complex 5-axis millingoperations and were realised as Gough-platform [5].Within the following years, many new prototypes formilling and other processes have been developed inindustry and research institutes, often mainly intended tostudy the fundamentals of this new technology ratherthan as market products. In addition, a large number ofpatents related to PKM has been applied [10].
2002‘60
Industrial Parallel Robots
‘50 200019941985
Industrial Parallel Machine Tools
Gough’s Tire Tester Delta Robot Variax Z3-Sprint
Figure 1: History of PKM as production systems.
Nowadays, PKM are entering the commercial marketand are already established in niche applications. Thus,the implementation activities are now mainly carried outby machine manufacturers in collaboration with researchinstitutes.
3 CLASSIFICATION OF PKM“A parallel manipulator is a closed-loop mechanism inwhich the end-effector is connected to the base by atleast two independent kinematic chains. A fully-parallelmanipulator is a closed-loop mechanism with an ndegree of freedom end-effector connected to the base byn independent chains which have at most two links andare actuated by a unique prismatic or rotary actuator”[11].Combinations of fully parallel mechanisms and additionalserial axis are often referred as hybrid systems. Withrespect to this definition, a close to infinite number ofmechanisms with parallel structure can be synthesised.
Combination of basic elements
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Figure 2: Design Methology for PKM [12].
A systematic methodology for the design of PKM topolo-gies as proposed in [12] is illustrated in Figure 2. Thebasic idea is to subdivide the mechanism into simplefunctional units. The kinematic substructures for thegeneration of the platform joint movements are chosenfrom a list of predefined solutions. A valid combination ofthese basic elements as well as the number of drives isthen enumerated with respect to the required DOF of the
end-effector. The geometric configuration of the jointconnections is finally chosen from a list of pre-existingsolutions.Many different topologies of PKM have recently beenstudied in detail [11, 13, 14]. A widely used classification[15] subdivides them into planar and spatial mechanismsand classifies by the degree of freedom (DOF) of theend-effector and the actuator and joint arrangement. Theterminology is illustrated in Figure 3 for the well knownGough platform, a fully parallel mechanism introduced inthe 50’s as tire testing machine, Figure 1. The end-effector is connected by six kinematic chains to the base,where each chain consists of a universal-joint (RR), adriven prismatic joint (P) and a spherical joint (S) at themoving platform. Thus, the kinematic structure isdenoted as 6-DOF 6-(RR)PS.
Planar/Spatial
DOF
Actuator & Joint Arrangement
(c)
RR
P
S
6 DOF, 6-(RR)PSGough Platform
Figure 3: Terminology for classification [15].The same end-effector movement can also be realisedwith legs of constant length but actuated footpoints, e.g.the Hexaglide [16], Figure 4 (c), as 6-DOF 6-PRRS orthe Hexa robot [17], Figure 4 (d), actuated by rotarydrives. By grouping the individual chains into pairs with acommon drive, three DOF can be locked which results inmechanisms with 3 DOF of the end-effector, e.g. theDelta robot [7], Figure 4 (a) or the Linear Delta designs,Figure 4 (b).
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6 DOF, 6-P(RR)SHexaglide
6 DOF, 6-R(RR)SHexa
(c) (d)
Figure 4: Classification of PKM key designs.It has to be noted, that often used terms as “hexapod”and “tripod” are less precise to characterise a parallelstructure since they do not give any information aboutthe kinematic topology and the realised motions.
4 STATE OF THE ART
4.1 Realised PKMWithin the recent years, many PKM for milling and otherprocesses have been realised. Table 1 in the annex givean overview about realised machines and their specifi-cations according to a questionnaire sent to researchinstitutes and companies involved in PKM technology.The majority of these machines is intended for millingprocesses either as 3-axis or 5-axis systems. Morerecently, also other processes such as riveting, formingand turning are established with PKM.
Milling 3-axisMotivated by physical and commercial limits of conven-tional serial machining centers (MC’s), different machinetool manufacturers are currently investigating the capa-bilities of PKM as kinematic structure for high speed 3-axis machining centers.The Specht Xperimental [18], Figure 5, is a hybridsystem where the x-y movements are realised by aparallel scissors architecture whereas the z-axis islocated in the table. The kinematic concept enables areduced machine width of less than 1500 mm for a x-travel of 630 mm. The machine is equipped with lineardirect drives for the scissors kinematic which enables avelocity of the TCP of 120 m/min and an acceleration of15 m/s2. The machine is currently investigated by a pilotcustomer.
Figure 5: Specht Xperimental MC (Source: Cross Hüller).
A different kinematic approach is realised in theSKM 400 [19]. The machine is realised as a fully parallelsystem based on three extensible legs which are linkedby universal joints both at the platform and the machineframe. The spindle carrier is supported by an additionalpassive chain, to lock the rotational d.o.f., Figure 6.Thus, the machine is free of linear guidings and tele-scopic guiding guards.The machine is characterised by a good relationbetween workspace and required floorspace which isclaimed to be similar to conventional machines. Theprototype machine has been presented on different fairs.Pilot customers will test the machine within the course of2002 [19].
Figure 6: SKM 400 3-axis parallel MC [19].
Milling 5-axisMany machine concepts based on parallel kinematicshave been realised for 5-axis machining. While in thepast fully parallel concepts have been dominant, a trendtowards hybrid solutions can be observed.The Ecospeed [20] by DS-Technology is intended for themanufacturing of structural aeronautic parts in aluminumalloys. The machine is realised as a hybrid system wherethe rotary tool axes and the z-movement are realised asa fully parallel structure which is carried by serial x- andy-axis as cross-slide, Figure 7 .
y
x
z
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B
Workspace X = 4m - 30 m Y = 1000 - 2000 mm Z = 650 mm
Spindle Tilt Amax = +/- 40° Bmax = +/- 40°
Max. Velocity/Acceleration vmax = 50 m/min amax = 10 m/s2
wmax = 15 U/min amax = 12 1/s2
Spindle 75 kW 24000 rpm
Figure 7: Ecospeed: Fully parallel head for A-, B- and z-movements in serial x- and y-axis [20].
The parallel kinematic swivel head can be handled as amodule, thus enabling the machine manufacturer toscale the x- and y-axis travel according the workpiecerequirements, e.g. small y-travel and long x-travel foraircraft stringers. Additional information about the
machine and application are given in section 5. A similarconcept Hermes, also intended for the machining ofaerospace monolithic parts has been exhibited on the2002 BIEMH fair in Spain by Fatronik [21].
Figure 8: Dynapod for the machining of large moulds anddies [22].
The idea of combining serial axis for large travels withparallel kinematics for the rotary axis has also beenimplemented by the company Mikromat within theGerman research project ACCOMAT. The Dynapod,Figure 8, consists of a gantry design for the x- and y-movements which carries either a 3-axis or a 6-axis PKMas satellite. The latter concept allows redundant use ofthe x- and y-movements by means of high dynamicmovements of the satellite with overlapping slowermovements of the gantry axis [22].A different target application is established by thecompany Deckel-Maho. The TriCenter is intended asuniversal 5-axis milling machine with special focus onthe tool dexterity. Thus, the rotary axis are realised as aserial fork head. Based on the kinematic of the Tricept[8], the TriCenter is a complete redesign to improve themachine’s rigidity. A pre-series prototype has beenshown on the EMO 2001, Figure 9. The rigidity of themachine has been improved with respect to formerTricept designs to allow high chip removal rates both inaluminum alloys and steel [23].
Figure 9: TriCenter as universal 5-axis MC [9].
Figure 10: Metrom Pentapod [24].
To overcome the orientation limits of classical kinematictopologies, i.e. the classical Gough-platform, the com-pany Metrom recently developed a Pentapod machinewhich is based on five extensible legs carrying the mainspindle, Figure 10.The kinematics have been configured so that in onerotary tool axis inclination angles of 90° are possible. Incoorporation with a rotary table as redundant axis, themachine is capable of full 5-sided machining. A specialcontrol strategy is implemented within the machinecontroller which handles the redundancy of tool andtable movements. Thus, the programming can beperformed in a classical way without constrained toolorientations [24].A mobile machine concept based on PKM has recentlybeen developed at the University of Hannover for thequick repair of large stamping dies. The Dumbomachining unit, based on a parallel kinematic with addi-tional serial head, can be brought to the press withouttaking the die out for the repair work, Figure 11. Themachine is currently investigated under practical dierepair conditions within a German research project [25].
Figure 11: Mobile milling machine for die repair [25].
Non-Milling ProcessesRecent PKM developments also focus on other proc-esses than milling, e.g. turning, riveting, forming as wellas wood machining.The company Index developed a vertical turningmachine V100 based on linear delta kinematics. Themachine combines workpiece handling and manufactur-ing task, thus reducing the nonproductive time. Moredetails about the machine as well as its application aregiven in section 5.For additional non-milling application, it is referred to thereferences. [26] describes the development of a 5-axismachine for woodworking application. Main target arecost benefits caused by the fact, that all slides of thekinematic use the same secondary drive of the linearmotor. In [21], the application of parallel end-effectormodules for automated drilling and riveting operations inaerospace manufacturing is addressed. They areconsidered as compact modules easy to be adopted intoscalable travelling columns with fast assembly andreadapting capabilities. [27] describes the developmentof a parallel structure for flexible bending application asbasic development tool for part and process research.
4.2 Conceptual advantages and drawbacks of PKMThe conceptual capabilities of PKM are discussed in [2,3, 28, 29]. Figure 12 summarises often mentioned bene-fits and drawbacks. It has to be remarked, that some ofthese conceptual characteristics are only valid forparticular topologies of PKM.Within the following section, we attempt to review, inwhich way these conceptual capabilities affect theperformance of machines and which technologies areeither available or needed to be investigated to imple-ment conceptual benefits and avoid drawbacks.
Simple frame design
High stiffness due to closedkinematic loops
Use of repetition parts
Traction-compressionstress in the links
High dynamic due to lowmoving mass
Modular design
More complex control
Limited dexterity
Poor ratio of system sizeto workspace
Very susceptible to thermal load
Performance is pose dependant
DrawbacksBenefits
Complex Key-Components
Linear drives used forrotary movements
Figure 12: Conceptual advantages and drawbacks ofPKM.
4.3 PKM characteristics
DesignPKM are characterised by their non-linear transmissionof movements and forces from joint- to task-space.These transmission characteristics are influenced by thekinematic topology of the mechanism and its geometricconfiguration. Thus, during design the following twosteps are most important [30]: • Choosing the appropriate kinematic topology • Choosing the right geometric dimensionsThe second step is most important since the perform-ance is highly influenced by the geometric dimensions ofa PKM. As example, changing the platform radius of aclassical Gough-platform by 10% may modify the worst-
case stiffness by 700%. Thus, a poor topology but opti-mally designed may perform better than a mechanismwith appropriate topology but poor design.To choose the right dimensions for the design parame-ters with respect to a given application is a difficult task:a) There are many performance values which have to
be taken into account and which are often antago-nistic to the design parameters, i.e. kinematic stiff-ness vs. workspace.
b) There is a nonlinear relation between designparameters and performance.
c) Many performance values are of the type "best case- worst case" over an up to six-dimensional work-space.
Since the performance characteristics vary within aworkspace of complex shape a simple and uniqueperformance comparison of either parallel with serialkinematics or different parallel mechanisms becomesmost difficult. To get an optimal kinematic configurationin a short time, the designer has to be supported bysuitable analysis- and optimisation tools.A classical way of finding the required design parame-ters is to define a cost function as the weighted sum ofthe performance values as function of the design pa-rameters. A numerical procedure is then used to find thedesign parameters which minimise the cost-function withrespect to an initial guess. This strategy is limited duethe definition of the weight factors, e.g. in terms ofpriority [30]. In addition, due to the complexity of theoptimisation problem, no guarantee can be given to findthe global optimum.To avoid these limitations, different approaches areproposed. The parameter space approach [31] estimatesfor each performance requirement all satisfying solutionswithin a multidimensional design-space. The intersec-tions of these individual solutions contain the sets ofdesign parameters which will meet all requirements.Thus, the optimal solution is either chosen by thedesigner intuitively or estimated by the classical cost-function approach.An approach based on pareto-optimal design isproposed in [32]. The idea is to estimate all sets ofdesign parameters with genetic algorithms, where theindividual performance values can only be maximised bya weakening of another performance requirement.Within the resulting sets of pareto-optimal designparameters, the optimal configuration for a given taskcan be chosen.It can be observed, that the development of design toolsfor PKM is still open research. While tools for theperformance analysis are widely established, theestimation of an optimal layout for a given applicationhas to be automated to establish conceptual capabilitiesin terms of modularity and reconfigurability.
Stiffness AspectsThe stiffness of PKM is mainly influenced by thegeometric configuration of the kinematics and thecomponents stiffness.Thus, one design target during geometric configurationhas to be a homogeneous transmission of forces fromjoint to task space as prerequisite for homogenouskinematic stiffness over the workspace. The joints arethe key components of a PKM with respect to stiffness.Their design has to be refined to optimise the antagonis-tic characteristics stiffness and orientation capability andto provide a homogeneous stiffness over the rotationangle, Figure 13.A general statement about the stiffness characteristics ofrecent PKM is not feasible. On the one hand, it has beenproven, that the conceptual advantages of PKM
regarding high stiffness can be implemented into realmachines as illustrated in Figure 14 (B) and (C). On theother hand, geometric configuration as well as the keycomponents are complex but of major importance, thusoffering gaps for inferior performance, i.e. Figure 14 (D).
angle [degrees]
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0 15 30 45 60 75 900
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Figure 13: Stiffness vs. orientation angle of a joint [33].
When comparing serial kinematik machines (SKM) andPKM regarding stiffness, two points have to be consid-ered. On the one hand, the spindle/holder/tool system isthe most critical element in the compliance chainbetween tool and workpiece [3]. Thus, the inhomo-geneous kinematic stiffness of the manipulator islessened by the serial arrangement of machine andspindle/holder/tool system. On the other hand, anonlinear stiffness over the workspace can also be seenon many serial machines, e.g. in ram configurations,where the stiffness depends on the ram travel or forkheads, where stiffness also depends on the orientationof the rotary axis.
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Figure 14: Measured relative stiffness of different PKMand SKM. All machines are measured with the same
setup between table and a dummy tool. Data is the worstcase stiffness within the workspace with 0° spindle
orientation.(A) 5-axis serial MC for structural aerospace
components, horizontal spindle(B) 5-axis hybrid MC for structural aerospace
components, horizontal spindle(C) 5-axis MC, fully parallel, horizontal spindle(D) 5-axis MC, hybrid kinematic, vertical spindle
In addition to the static stiffness characteristics, thedynamic stiffness is of major importance as prerequisiteof booth high chipload and drive dynamics such asadjustable velocity gain and jerk. Comparing thefrequency response function and modal analysis ofdifferent PKM, it can be observed that in general vibra-
tions of the legs are dominant but with low amplitude andphase shift, thus having low influence on the stability ofthe cutting process. On the other hand, vibrations in thelegs can seriously affect the drive dynamics if they arecoupled to the drive control.
Accuracy AspectsPKM are as accurate as the transformation model in thecontroller describes the actual behaviour of the machine.Similar to serial machines, the accuracy of PKM isaffected by many error sources, which are illustrated inFigure 15. Due to the parallel structure, the errors of theindividual axis are coupled, e.g. a single axis error willcause errors in all DOF of the end-effector. Thus, theerror sources are more complex to separate than inserial machines, where the individual axes are calibratedone by one [34].
Nominal kinematic model:• Joints have one center for
all d.o.f• Joint locations are known• Actuators move with one
d.o.f• Actuators pass exactly
through joint centers• All measurements are
without errors
Errors due to:• Manufacturing and
assembly• Kinematic errors (joints,
actuators)• Deformations by gravity
and inertial forces• Thermal growth• Limited sensor accuracy• Control uncertainty• ...
Com
pens
atio
nC
alib
ratio
n
Figure 15: Error effects in PKM [35].
To achieve the required accuracy, the transformationmodel in the controller has to be fit to the machine’sbehaviour by calibration and compensation. Differentstrategies are used: • Kinematic calibration by means of identifying the
geometric parameters of the machine, i.e. joint loca-tions. In general, indirect strategies are used whichrely on external measurements of the end-effectorpose. The kinematic parameters are then identifiedusing nonlinear optimisation algorithms to minimisethe error between predicted and measured pose. Themeasurements can either be in one DOF, e.g. with adouble-ball-bar [35, 36] or probing [37], in three DOF,e.g. with a laser tracker [19, 38] or double-ball-bartriangulation [39], as well as in six DOF with a specialdevice based on inductive sensors and levelmeters[40].
• Spatial error compensation by means of a threedimensional matrix of measured errors over theworkspace, which are compensated for within thecontroller [19].
• Functional compensation of predictable errors, i.e.sagging due to gravity forces. The leg forces areeither calculated [35] or established by the motorcurrent in the controller [19]. The resulting deforma-tions of the kinematic chains are then compensatedfor.
Within actual prototypes, in general a combination of theabove listed strategies is used. To decrease thermaldeflections, either compensation methods [40] are usedor the affected components are stabilised by cooling[19, 35].For 5-axis PKM, positioning errors in cartesian axis in therange of 10-20µm have been reported [35, 40, 41].Taking into account, that a straight movement in onecartesian axis of a PKM requires a multi-axis interpola-tion, the accuracy of multi-axis motion in cartesian spacecan be assumed to be roughly the same.
The contouring accuracy in multi-axis interpolation (x, y,A, B) of a Ecospeed [20] PKM has been evaluated atcustumer tests. A 5° cone with 175mm diameter hasbeen machined in aluminum at a feed rate of 5m/minwith a roundness of 10µm. Booth surface quality androundness error are better than on conventional serialhead designs according to the custommer.Recent 3-axis PKM achieve positioning errors between10µm and 15µm [18, 19]. In contrast to 5-axis machines,where errors in all DOF can be compensated in thecontroller, these machines need additional mechanicaladjustments to align two rotary movements of the tool.With respect to the requirements of automotive power-train manufacturing as target market, the accuracy ofthese machines still needs further improvement to fulfilthe high acceptance standards [42]. To guarantee a highlevel of machine availability, the customers service andmaintenance practice has to be taken into account. If themachine’s accuracy drops down as a result of a collisionor wear, the customers service staff must be able toeliminate these errors in an efficient manner. Thus, themachine supplier has to provide measuring equipmentand methods for shop-floor recalibration.
Motion ControlPKM are in general programmed in cartesian spacesimilar to conventional machines. The transformationfrom cartesian space to joint space is computed in thecontroller at least each interpolation cycle. In recent PKMin general commercial control systems are used, seeAnnex, Table 1. The specific transformation functions areeither implemented on external processor boards ordirectly within the NC via original equipment manufac-turer (OEM) interfaces. For safe and efficient machineuse, the controller has to make available additionalfunctionality, such as look-ahead function in joint spaceand a monitoring of the workspace limits of themechanism [43, 44] as well as accuracy relatedfunctions as error compensation and a support for thecalibration of the machine [19, 35, 40].The drive control of PKM is usually realised in joint spaceby independent linear axis controllers designed similar toclassical machines as cascaded P/PI controller. It hasbeen observed, that on higher velocities, the trackingerrors increase drastically [44] thus the usable velocityhas to be limited in favour of path accuracy [42]. Theselimitations are induced by the nonlinear behaviour inher-ent with PKM such as variable inertia as well as dynamiccoupling effects of the individual drive axis.For a better exploitation of PKM’s dynamic behaviour,different approaches are investigated. In [45], the limitedresolution of the velocity feedback, calculated by time-discrete differentiation from the actual position feedback,is identified as limiting factor for the control parametersof the Linapod PKM with linear direct drives. Byintegrating acceleration feedback of an additionalFerraris sensor, a velocity feedback of higher quality isderived which enables both higher control parameters aswell as increased tracking bandwidth and disturbancebehaviour.Other approaches incorporate the nonlinear behaviour ofthe parallel mechanism into the control laws, e.g. [37, 45,46]. It is shown in [44], that the tracking errors cangreatly be reduced by applying a model-based controlscheme, that computes the actuator torques for a giventrajectory. The feedback controllers then only need tocorrect unmodelled effects, e.g. friction. The parametersfor the dynamic model can be identified and optimisedonline by the controller with adaptation algorithms. In[46], the active inertia is calculated within the interpola-tion cycle with respect to the actual workspace positionand the velocity gain of the axis controller is adjustedaccordingly. Since the damping of the velocity can be
held constant within the workspace, higher position gainscan be adjusted.Nonlinear control strategies require high computationalefforts for the calculation of the dynamic properties onthe one hand and fast interfaces to the drive controlleron the other hand. Thus, their implementation into com-mercial machine tool controller is still an open issue.
Cost benefitsPKM have the potential of low machine costs due to thereduced mechanical complexity. This statement hasbeen confirmed by machine manufacturers, who aresuccessful with PKM on the market. On the other hand,at present the high costs for PKM specific componentssuch as joints prevent any benefits on the market. Thus,to be competitive on the market, recent PKM must havea higher customer’s value by means of machineperformance. Future improvements with respect to costsare expected by higher production volumes and a higherlevel of components standardisation [47].
5 PKM APPLICATIONS
5.1 AerospaceModern aircraft engineering is characterised by anintegral design which results in most complex compo-nents to be machined from monolithic blanks. The partsare characterised by a high amount of material to beremoved which as a rule is higher than 80%. Approx.80% of the parts in the military aircraft sector are to bemachined in 5-axis mode and it is expected that thistendency will become accepted also within the civilsector.The current bottleneck in 5-axis high speed machining(HSM) is the limited dynamics of the rotary tool axis andthe required compensation movements of the linear axis[20].Against this background, the company DS-Technologiedeveloped a machining system based on a parallelstructure where the rotary tool axes and the z-movementare realised as a fully parallel structure which is carriedby serial x- and y-axis.
Figure 16: Ecospeed PKM for machining complexmonolithic aerospace parts (Source: EADS).
The parallel structure as substitution of a classical fork-or swivel head implements two main advantages. On theone hand, a high swivel rate of the tool of 15 rpm isachieved in all angular positions without compensationmovements in the linear axis of more than 50 m/min. Onthe other hand, a mass reduction of the head of about
50% was achieved compared to conventional swivelhead which enables higher dynamic of the x- and y-axis.The first 2 machines have been handed over to thecustomer in May 2000, currently four machines areproducing in four shifts around the clock, Figure 16.From the customer’s point of view, the investment inPKM technology enables the following enhancementscompared to conventional 5-axis machines [49]: • Reduction of processtime (-42%). • Higher part quality due to better surface. • Improved reliability of the machine • Improved availability of the machine • Improved flexibility compared to conventional multi-
spindle systemsFrom the machine tool manufacturer’s point of view, thePKM technology offers the following advantages [20]: • Lower complexity of the head design compared to
swivel or fork heads. A weak point of these conven-tional concepts are the media supplies to the spindlewhich have to be realised through the rotary axis viaslip rings and transmission couplings which aresusceptible to failure. The media supply on theparallel head can be realised via simple and reliablehoses and cables.
• Less maintenance efforts, e.g. spindle change within2 hours.
• Use of standard components.Until today, 10 machines of Ecospeed type have beendelivered to customers in Germany, United Kingdom andCanada.
5.2 Automotive
Powertrain manufacturingIn the field of high-volume powertrain manufacturing, theuse of flexible and semi-flexible manufacturing systemshas become more and more important. Thus, theperformance as well as investment and operational costof the incorporated machining centers have a decisiveinfluence on the economic viability of flexible manufac-turing systems [42].An analysis of operations to be machined on typicalpowertrain components such as gearbox housings,crankcases and cylinder heads, reveals that about 40%of the machining time are used for drilling, reaming andtapping operations while approx. 5% are related tomilling operations. 55% of the machining time arenonproductive for positioning and tool changing.Thus, one target is to reduce nonproductive positioningtime. From theoretical considerations, it is assumed thatup to 12% of the total machining time can be reduced bythe use of PKM technology [49].On the other hand, a comparison of different PKM andSKM has shown, that these improvements can not yet berealised in practical applications, Figure 17.The following observations have been made [42]: • To reduce nonproductive time, also peripheral com-
ponents must be optimised to the whole system.Most significant are tool and pallet changer as well asthe axis for workpiece positioning as well as a propersynchronisation between interpolating and position-ing axis.
• Due to jerk limitation in favour of path accuracy, thespecified accelerations of PKM can not yet realisedwithin the process.
Machine 1 Machine 2 PKM 1 PKM 2 PKM 3
Proc
ess
time
Conventional PKM
Tool change time Positioning time Productive time
Figure 17: Machining time of a cylinderhead (56operations, 6 tools): Conventional MC vs. PKM [42].
A different approach to reduce nonproductive time isproposed by Renault Automation Comau. The strategyassigned to the Urane SX, Figure 18, is to move a singletool with high agility to enable circular milling strategiesfor machining holes and threads of different diameterand thus eliminating tool changes and spindle stops.The lightweight design of the machine enables accelera-tions of 35m/s2 and a jerk factor of 1500 m/s3. Thus, hightraversing speeds are realised even during shortpositioning distances. The agility of the system has beendemonstrated in a drilling operation of 16 fixing holes ina gearbox flange face. The cycle time was 5,8scompared to 6,3s on a conventional multi-spindle head[50].
Figure 18: Urane Sx as drilling, tapping and spotfacingunit (Source: Renault Automation Comau).
Figure 19 illustrates a study for machining cylinder heads(1600/day) and compares a cell of linear direct drive(DD) MC’s with a cell mixed of Urane SX PKM and lineardirect drive MC’s. Within this cell configuration, theUrane Sx machines perform the drilling, tapping andspot-facing operations, while the conventional MC’s areintended for more complex operations, e.g. reaming. Theinvestment for the mixed PKM/SKM cell is 60% of theconventional solution and requires lower floor space.
Conventional: 11 MC (DD), Invest 100%
PKM: 3 MC (DD) +5 Urane Sx, Invest 60%
Figure 19: Case study cylinder head, 1600/day: InvestPKM vs. SKM (Source: Renault Automation Comau).
Automotive supplierSimilar to powertrain manufacturing, the reduction ofnonproductive time currently offers the main potential forincreased productivity for the high volume production inthe automotive supplier area. With this focus, thecompany Index developed a vertical turning machineV100 based on a linear delta structure, Figure 20. Allaxis motions are allocated to the workpiece.
Figure 20: Turning machine based on a linear deltakinematic [51].
The spindle unit is capable of 3-axis movements, thusenabling both the feeding motion for machining as wellas the part handling. Mainly intended for turning applica-tion, additional milling and grinding operation can beperformed with optional available driven tools. The high
motion dynamics (f=50 m/min, a=10 m/s2) enable fastpositioning movements for the workpiece change andthus a short chip-to-chip time.The machine has proven high accuracy and highstiffness which enables high chip removal on the onehand and the capabilities of machining hardened steelon the other. During customers tests, a diameter D=15 ±0,02mm has been machined in hardened steel (HRC 58-62) with a machine capability of Cmk=2,8 and surfaceroughness of Rz=2µm. This high accuracy level has alsobeen proven in interpolation mode by machining asphere, Figure 21.
Slider shoe (bronze):Demands on accuracy: machining result: Shape sphere (´D=19mm): ± 6 µm ± 3 µm
Diameter bore (D=20mm): ± 50 µm ± 2 µm
Figure 21: V100: Machining results (Source: Index).
6 GENERAL OBSERVATIONS AND FUTUREPOTENTIALS
Since the first parallel kinematic machines have beenestablished in industrial applications with customerbenifits, they have been proven to be a feasibleapproach to improve machine tool’s performance.However, the development of parallel structures formachine tools is rather “young” compared to the longexperience with classical serial machines. Thus in someapplication fields, where conventional machines aredeveloped close to the economic and technical limit, e.g.standard MC’s, PKM’s performance has not yet reacheda competitive level.The PKM machines which are successful on the markethave been designed towards a special bottleneck of theapplication of conventional machinery, thus making mosteffective use of conceptual capabilities of PKM whileavoiding possible conceptual drawbacks either by aconceptual approach or by advanced technologicalsolutions.Nevertheless, it must be clearly stated, that furtherresearch and development is needed to enable a morewide practical use of PKM. The following needs can beobserved. • Since the design and performance prediction of PKM
is more complex, it is essential to provide effectivetools to choose the appropriate kinematic topology onthe one hand and to optimise the design towards aspecial application task, thus making effective use ofthe conceptual capabilities such as modularity orreconfigurability.
• PKM consist of rather new machine componentssuch as joints, which are simple repetition parts onthe one hand but a key for the overall performanceon the other. Further improvements of components,e.g. joints with linear high stiffness, are essentialwhile also taking into account the components cost.
• It can be observed, that dynamic performance oftendoes not meet the expectations. To enable thedynamic capabilities by means of high path velocitycombined with high path-accuracy, both the nonlineardynamics of PKM as well as coupling effects have tobe considered in commercial motion controllers.
• Maintenance topics, such as machine calibration andgeometric accuracy evaluation have to be developedtowards shop-floor oriented use thus enabling themachine user to handle these topics an accordanceto his experience with classical machines.
7 ACKNOWLEDGMENTSThe authors wish to thank all those colleagues andindustrial companies who sent valuable informationmaterial.
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[26] Czwielong, T., Zarske, W., 2002, Pegasus –Incorporating PKM into Woodworking, 3rd ChemnitzParallel Kinematics Seminar, 23.-25.5.2002, VerlagWissenschaftliche Scripten, Zwickau, pp.843-856.
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European-American Forum on Parallel KinematicMachines, 31.8.-1.9.1998, Milano, Italy.
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[32] Kirchner, J., 2001, Mehrkriterielle Optimierung vonParallelkinematiken, Dissertation TU Chemnitz,Verlag Wissenschaftliche Scripten, Zwickau.
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[34] Patel A. J., Ehmann K. F., 1997, Volumetric ErrorAnalysis of a Stewart Platform Based MachineTool, Annals of the CIRP 46-1, 287-290.
[35] Weck, M., Staimer, D., 2000, On the Accuracy ofParallel Kinematic Machine Tools: Design,Compensation and Calibration, Proc. 2rd ChemnitzParallel Kinematics Seminar, 12.-13.4.2002, VerlagWissenschaftliche Scripten, Zwickau, pp.73-84.
[36] Ota, H., Shibukawa, T., Tooyama, T., Uchiyama,M., 2000, Forward Kinematic Calibration Method forParallel Mechanism Using Pose Data Measured bya Double Ball Bar System, Proceedings of the Year2000 Parallel Kinematic Machines InternationalConference, September 13-15, 2000, Ann Arbor,Michigan, USA, pp. 57-62.
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[38] Heisel, U., Hestermann, J.-O., Böhler, H., Plischke,N., Thaysen, O., 2000, Realisierung großerSchwenkwinkel für die 5-Seiten-Bearbeitung mitPKM-Werkzeugmaschinen, 2rd Chemnitz ParallelKinematics Seminar, 12.-13.4.2002, VerlagWissenschaftliche Scripten, Zwickau, pp.125-140.
[39] Weikert, S., Knapp, W., 2002, Application of theGrid-Bar Device on the Hexaglide, 3rd ChemnitzParallel Kinematics Seminar, 23.-25.5.2002, VerlagWissenschaftliche Scripten, Zwickau, pp.295-310.
[40] Neugebauer, R., Krabbes, M. Kretzmar, W.Schönitz, J., 2002, Improvement of the CalibrationAccuracy by a New Measurement Process,Frequencies, 3rd Chemnitz Parallel KinematicsSeminar, 23.-25.5.2002, Verlag WissenschaftlicheScripten, Zwickau, pp.443-454.
[41] Powell, N., Whittingham, B., Gindy, N, 1998,Parallel Link Mechanism Machine Tools:Acceptance Testing and Performance Analysis,Proc. First European-American Forum on ParallelKinematic Machines, 31.8.-1.9.1998, Milano, Italy.
[42] Hertel, A., 2002, Requirements for ParallelKinematics for Powertrain Manufacturing in theAutomotive Industry, 3rd Chemnitz ParallelKinematics Seminar, 23.-25.5.2002, VerlagWissenschaftliche Scripten, Zwickau, pp.753-762.
[43] Meylahn, A., 2001, Effiziente Algorithmen für dieSteuerung von Werkzeugmaschinen mit Hexapod-Kinematik: Transformation, Kollisonsüberwachungund Freifahrunterstützung, Dissertation RWTHAachen, Shaker Verlag, Aachen.
[44] Honegger M., Codourey A., Burdet E., 1997,Adaptive Control of the Hexaglide, a 6 dof ParallelManipulator, Proc. Int. Conf. on Robotics andAutomation ICRA'97, Albuquerque NM, USA.
[45] Pritschow, G., Eppler, C., Garber, T., 2002,Influence of the Dynamic Stiffness on the Accuracyof PKM, 3rd Chemnitz Parallel Kinematics Seminar,
23.-25.5.2002, Verlag Wissenschaftliche Scripten,Zwickau, pp.369-378.
[46] Weck, M., Krüger, P, 2000, Adaptive Regelung fürMaschinen mit paralleler Kinematik, Proc. 2rd
Chemnitz Parallel Kinematics Seminar, 12.-13.4.2002, Verlag Wissenschaftliche Scripten,Zwickau, pp.73-84.
[47] Dürschmied, F., Hestermann, J.-O., 2002,Achieving Technical and Economic Potential withINA Components, 3rd Chemnitz Parallel KinematicsSeminar, 23.-25.5.2002, Verlag WissenschaftlicheScripten, Zwickau, pp.263-276.
[48] Lilla, A., 2001, Herstellung komplexer integralerFrästeile für die Luft- und Raumfahrt mitParallelkinematiken “Ecospeed”, 1. InternationaleFachtagung über Parallel-kinematische Werkzeug-maschinen, 21.-22.6.2001, Messe Stuttgart.
[49] Stave, H., 2001, Bearbeitungszentren für dir flexibleGroßserienfertigung prismatischer Teile, Tagungs-band 3. Chemnitzer Produktionstechnisches Kollo-quium, Chemnitz 2001.
[50] Passemard, J. R., 2001, Possible PKM Applicationsin High Volume Production, 1. InternationaleFachtagung über Parallel-kinematische Werkzeug-maschinen, 21.-22.6.2001, Messe Stuttgart.
[51] Walker, T., Haberkern, A., 2001, Anwender-erfahrungen für Drehteile mit PKM V100, 1.Internationale Fachtagung über Parallel-kinematische Werkzeugmaschinen, 21.-22.6.2001,Messe Stuttgart.
9 APPENDIXTable 1 gives an overview about specifications of recentPKM’s. Data is based on a literature survey and aquestionnaire sent to CIRP-members and industryinvolved in PKM technology.
Tabl
e 1:
PKM
dev
elop
men
ts (s
ourc
e: li
tera
ture
sur
vey
and
ques
tionn
aire
sen
t to
CIR
P m
embe
rs a
nd in
dust
rial c
ompa
nies
).
Man
ufac
ture
r/Lab
orat
ory
Mod
elAp
plic
atio
nTy
peD
OF
Wor
kspa
ce [m
m]
Orie
ntat
ion
[Deg
.] (m
ax/m
in)
Velo
city
lin.
axi
sVe
loci
ty ro
t. Ax
isAc
c. li
n. A
xis
Acc.
rot a
xis
1C
hiro
nV-
Con
cept
Mill
ing
Hyb
rid3
450*
300*
300
%12
0 m
/min
%30
m/s
2%
2C
MW
Hex
apod
e 30
0M
illin
gPa
ralle
l6
700*
700*
300
N.A
.50
/50/
20 m
/min
N.A
.10
m/s
2N
.A.
3D
ecke
l Mah
oTr
icen
ter
Mill
ing
Hyb
rid5
630*
630*
600
180/
-95
120/
90/9
0m/m
in30
U/m
in20
/15/
15 m
/s2
N.A
.4
DS-
Tech
nolo
gie
Ecos
peed
Mill
ing
Hyb
rid5
4000
*100
0*50
0±4
0/±4
050
m/m
in15
U/m
in10
m/s
212
rad/
s5
ETH
Zür
ich
Hex
aglid
eM
illin
gPa
ralle
l6
600*
500*
xN
.A.
N.A
.N
.A.
35 m
/s2
N.A
.6
Fatro
nik
Her
mes
Mill
ing
Hyb
rid5
x*y*
400
±30/
±30
z=80
m/m
in50
U/m
inz=
10m
/s2
1500
°/s2
7Fa
troni
kU
lyse
sM
illin
gPa
ralle
l3
500*
500*
500
%50
m/m
in%
5 m
/s2
%8
Fook
eTr
iom
axR
apid
Pro
toty
ping
Para
llel
650
0*50
0*40
0N
.A.
30 m
/min
N.A
.10
m/s
2N
.A.
9G
eode
ticG
500
Mill
ing
Para
llel
650
0*50
0*50
0N
.A.
9 m
/min
N.A
.N
.A.
N.A
.10
Gid
ding
s&Le
wis
Varia
xM
illin
gPa
ralle
l6
700*
700*
750
±25
66 m
/min
N.A
.10
m/s
2N
.A.
11H
ecke
rtSK
M 4
00M
illin
gPa
ralle
l3
630*
630*
630
%10
0 m
/min
%10
m/s
2%
12H
exel
Cor
p.To
rnad
o 20
00M
illin
gPa
ralle
l6
600*
600*
600
N.A
.N
.A.
N.A
.N
.A.
N.A
.13
Hita
chi S
eiki
PA 3
5II
Dril
ling
Para
llel
335
0*35
0*20
0%
100
m/m
in%
15 m
/s2
%14
Hon
daH
VS-5
00M
illin
gH
ybrid
365
0*50
0*40
0%
60 m
/min
%10
m/s
2%
15H
ülle
rHille
Spec
ht X
perim
enta
lM
illin
gH
ybrid
363
0*63
0*75
0%
120/
120/
60 m
/min
%15
/15/
10 m
/s2
%16
IFW
Han
nove
rD
umbo
Mill
ing
Hyb
rid5
480*
480*
480
180/
-95
N.A
.N
.A.
N.A
.N
.A.
17IF
W H
anno
ver
Geo
rgV
Lase
r pro
cess
ing
Hyb
rid5
Ø19
00, H
=950
±115
/±11
570
m/m
in18
0rad
/min
N.A
.N
.A.
18IF
W H
anno
ver
PaliD
APi
ck&P
lace
Para
llel
640
0*40
0*40
0±4
5/±1
515
0 m
/min
N.A
.25
m/s
2N
.A.
19IF
W S
tuttg
art
Hex
act
Mill
ing
Para
llel
620
0*20
0*10
0±1
5/±5
30 m
/min
N.A
.5
m/s
2N
.A.
20In
dex
V100
Turn
ing
Para
llel
328
0*28
0*28
0%
50 m
/min
%10
m/s
2%
21In
gers
oll/W
ZL A
ache
nH
OH
600
Mill
ing
Para
llel
660
0*60
0*80
0±3
0/±1
540
m/m
inN
.A.
3,5
m/s
2N
.A.
22IS
W S
tuttg
art
Lina
pod
Mill
ing
Para
llel
660
0*60
0*60
0±2
0/±1
512
0 m
/min
N.A
.40
m/s
2N
.A.
23IT
IA-C
NR
Mila
noC
eler
usM
illing
Stu
dyPa
ralle
l6
600*
600*
300
N.A
.60
m/m
inN
.A.
10 m
/s2
N.A
.24
ITIA
-CN
R M
ilano
Dra
gonf
lyD
ebur
ring/
Wat
er C
uttin
gN
.A.
%N
.A.
%N
.A.
%25
ITR
I/MIR
L, T
aich
ung
HL-
5VM
illin
gH
ybrid
565
0*85
0*65
0±4
532
m/m
in10
0rad
/min
6,5
m/s
2N
.A.
26IW
U C
hem
nitz
Hex
aben
dFl
exib
le F
orm
ing
Para
llel
6N
.A.
N.A
.N
.A.
N.A
.N
.A.
N.A
.27
Jian
gdon
g, C
hina
XNZ
2010
Mill
ing
Hyb
rid4
1200
*800
*630
A=+9
0/-2
060
m/m
in30
U/m
in5m
/s2
7,6
1/s2
28JS
C L
apik
TM 1
000
Mill
ing/
Prob
ing
Para
llel
6N
.A.
N.A
.N
.A.
N.A
.N
.A.
N.A
.29
Krau
seco
&Mau
ser
Qui
ckst
ep H
S500
Mill
ing
Para
llel
363
0*63
0*50
0%
80 m
/min
%20
m/s
2%
30Ku
nmin
g/Ts
ingh
hua
Uni
vers
ityX
NZ
63M
illin
gPa
ralle
l6
400*
400*
300
±35/
±25
15 m
/min
N.A
.0,
5m/s
2N
.A.
31M
etro
mP
800
Mill
ing
Para
llel
5(6)
800*
800*
500
±90/
±90
w. T
able
N.A
.N
.A.
N.A
.N
.A.
32M
ikro
mat
/IWU
Che
mni
tz6X
Mill
ing
Para
llel
663
0*63
0*63
0±3
0/±1
540
m/m
inN
.A.
10 m
/s2
N.A
.33
Mik
rom
at/IW
U C
hem
nitz
Dyn
apod
Mill
ing
Hyb
rid3
to 8
N.A
.N
.A.
N.A
.N
.A.
N.A
.N
.A.
34M
ikro
nTr
iagl
ide
Mill
ing
Para
llel
317
0*12
0*25
0%
N.A
.%
15 m
/s2
%35
MTC
, Chi
naQ
uiqi
haer
Mill
ing
Hyb
rid5
4000
*145
0*12
00A=
±95/
±30,
C=±
200
30 m
/min
30U
/min
2 m
/s2
N.A
.36
Neo
s R
obot
ics
Tric
ept T
R80
5M
illin
gH
ybrid
5Ø
2500
, H=8
0018
0/-1
090
m/m
inN
.A.
10 m
/s2
N.A
.37
Oku
ma
Cos
moC
ente
r PM
600
Mill
ing
Para
llel
642
0*42
0*40
0±2
512
0 m
/min
N.A
.15
m/s
2N
.A.
38R
eich
enba
cher
Pega
sus
Woo
dwor
king
Para
llel
350
00*1
400*
250
%12
0 m
/min
%10
m/s
2%
39R
enau
lt Au
tom
atio
nU
rane
SxD
rillin
g/Ta
ppin
gPa
ralle
l3
500*
500*
250
%10
0 m
/min
%35
m/s
2%
40Se
naEc
lipse
Rap
id P
roto
typi
ngPa
ralle
l5
Ø15
0*17
0±9
010
m/m
inN
.A.
N.A
.N
.A.
41SM
E Ti
anjin
Uni
vers
ity3-
HSS
Mill
ing
N.A
.3
Ø50
0, H
=400
%20
m/m
in%
10 m
/s2
%42
Tekn
iker
Seya
nka
Mill
ing
Para
llel
540
0*40
0*40
0±3
0/±1
560
m/m
in20
0rad
/min
10 m
/s2
50 1
/s2
43To
yoda
Hex
aMM
illin
gPa
ralle
l6
500*
500*
350
±40/
±20
100
m/m
in15
0rad
/min
15 m
/s2
N.A
.44
Tsin
ghua
Uni
vers
ityVA
MT1
YM
illin
gPa
ralle
l6
500*
400*
600
±35/
±25
15 m
/min
N.A
.0,
5m/s
2N
.A.
45W
ZL A
ache
nD
ynaM
Mill
ing
Hyb
rid3
630*
630*
500
%90
m/m
in%
10/1
5 m
/s2
%46
ZFS
Stut
tgar
tPa
ralix
Mill
ing
Para
llel
650
0*40
0*40
0A=
-30/
+90,
B=±
2090
m/m
inN
.A.
20 m
/s2
N.A
.
Tabl
e 1
cont
inue
d: P
KM d
evel
opm
ents
(sou
rce:
lite
ratu
re s
urve
y an
d qu
estio
nnai
re s
ent t
o C
IRP
mem
bers
and
indu
stria
l com
pani
es).
Man
ufac
ture
r/Lab
orat
ory
Mod
elSp
indl
e sp
eed
Spin
dle
pow
erTo
ol in
terf
ace
Driv
e ty
peSe
nsor
type
Con
trol
ler
Rep
eata
bilit
yPo
sitio
ning
acc
urac
y
1C
hiro
nV-
Con
cept
2700
0rpm
3,7k
WH
SK-A
32Li
near
dire
ctLi
n. E
nc.
Siem
ens
840D
N.A
.N
.A.
2C
MW
Hex
a pod
e 30
024
000r
pm24
kWN
.A.
Balls
crew
Lin.
Enc
.PC
-bas
ed±1
µm8µ
m/3
00m
m3
Dec
kel M
aho
Tric
ente
r24
000r
pm19
kw(S
1), 2
6kW
(S6)
HSK
-A63
Balls
crew
Rot
. Enc
/Lin
. Inc
.Si
emen
s 84
0DN
AS P
art <
10µm
N.A
.4
DS-
Tech
nolo
gie
Ecos
peed
2700
0rpm
75kW
HSK
-A63
Balls
crew
/Rac
k&Pi
nion
Lin.
Incr
.Si
emen
s 84
0DN
.A.
N.A
.5
ETH
Zür
ich
Hex
a glid
e42
000r
pm10
kWN
.A.
Line
ar d
irect
Lin.
Incr
.Po
wer
PC
, VM
Ebus
N.A
.N
.A.
6Fa
troni
kH
erm
es40
000r
pm27
kWH
SK-A
63Ba
llscr
ewLi
n. In
cr.
Siem
ens
840D
N.A
.N
.A.
7Fa
troni
kU
lyse
s30
000r
pm15
kWN
.A.
Balls
crew
Rot
. Enc
.Fa
gor 8
070
N.A
.N
.A.
8Fo
oke
Trio
max
N.A
.N
.A.
N.A
.Ba
llscr
ewR
ot. E
nc.
Andr
onic
400
N.A
.N
.A.
9G
eode
ticG
500
2800
0rpm
10kW
N.A
.H
ollo
w s
haft
Rot
. Enc
.Si
emen
s 84
0D±5
µm±2
5µm
10G
iddi
ngs&
Lew
isVa
riax
2400
0rpm
17kW
?H
SK-A
50Ba
llscr
ewLa
ser
Gid
ding
s&Le
wis
N.A
.12
µm
11H
ecke
rtSK
M 4
0015
000r
pm31
kWH
SK-A
63Ba
llscr
ewR
ot. E
nc.
Siem
ens
840D
N.A
.<1
5µm
12
Hex
el C
orp.
Torn
ado
2000
1800
0rpm
20kW
HSK
-A50
Balls
crew
N.A
.PC
bas
ed
N.A
.N
.A.
13H
itach
i Sei
kiPA
35I
I20
000r
pm2,
6N
T 15
Rac
k &
Pini
onR
ot. E
nc.
Fanu
c 18
i-MN
.A.
N.A
.14
Hon
daH
VS-5
0020
000r
pmN
.A.
N.A
.Ba
llscr
ewN
.A.
N.A
.N
.A.
N.A
.15
Hül
lerH
illeSp
echt
Xpe
rimen
tal
2000
0rpm
60kW
HSK
-?63
Line
ar d
irect
/Bal
lscr
ewLi
n. In
cr.
Siem
ens
840D
N.A
.<1
5µm
16
IFW
Han
nove
rD
umbo
3000
0rpm
9kW
HSK
-E32
Balls
crew
Rot
. Enc
.Si
emen
s 84
0DN
.A.
N.A
.17
IFW
Han
nove
rG
eorg
VN
.A.
N.A
.N
.A.
Balls
crew
Rot
. Enc
.Si
emen
s 84
0DN
.A.
N.A
.18
IFW
Han
nove
rPa
liDA
N.A
.N
.A.
Sele
noid
H
all
PC (d
Spac
e)N
.A.
N.A
.19
IFW
Stu
ttgar
tH
exac
t42
000r
pm12
,5kW
SK30
Balls
crew
Rot
. Enc
.Si
emen
s 84
0D±5
µm<2
0µm
20
Inde
xV1
0010
000r
pm14
kWTu
rnin
g to
ols
Balls
crew
Lin.
Incr
.Si
emen
s 84
0DN
.A.
4-15
µm/2
50m
m21
Inge
rsol
l/WZL
Aac
hen
HO
H 6
0010
000r
pm27
,4kW
(S1)
HSK
-A10
0Ba
llscr
ewLi
n. In
cr.
Siem
ens
840D
6µm
25µm
22IS
W S
tuttg
art
Lina
pod
2400
0rpm
27kW
HSK
-A63
Line
ar d
irect
Lin.
Incr
.IS
G-N
CN
.A.
N.A
.23
ITIA
-CN
R M
ilano
Cel
erus
2400
0rpm
20kW
HSK
-A63
Balls
crew
N.A
.Si
emen
s 84
0DN
.A.
N.A
.24
ITIA
-CN
R M
ilano
Dra
gonf
lyN
.A.
N.A
.N
.A.
N.A
.N
.A.
N.A
.N
.A.
25IT
RI/M
IRL,
Tai
chun
gH
L-5V
1200
0rpm
8kW
BT 4
0Ba
llscr
ewN
.A.
Siem
ens
840D
N.A
.15
µm
26IW
U C
hem
nitz
Hex
aben
dN
.A.
N.A
.N
.A.
Hyd
raul
icN
.A.
N.A
.N
.A.
N.A
.27
Jian
gdon
g, C
hina
XNZ
2010
1000
0rpm
10kW
BT40
Balls
crew
Lin.
Incr
.PC
-bas
edN
.A.
±20-
30µm
28JS
C L
a pik
TM 1
000
N.A
.N
.A.
N.A
.Ba
llscr
ewR
ot. E
nc.
PC-b
ased
N.A
.N
.A.
29Kr
ause
co&M
ause
rQ
uick
step
HS5
0015
000r
pm28
kWH
SK-A
63Ba
llscr
ewLi
n. In
cr.
Siem
ens
840D
N.A
.N
.A.
30Ku
nmin
g/Ts
ingh
hua
Uni
vers
ityX
NZ
6320
000r
pm10
kWBT
40Ba
llscr
ewR
ot. E
nc.
PC-b
ased
N.A
.N
.A.
31M
etro
mP
800
3000
0rpm
9kW
N.A
.Ba
llscr
ewR
ot. E
nc.
Andr
onic
200
0N
.A.
<20µ
m32
Mik
rom
at/IW
U C
hem
nitz
6X30
000r
pm16
kWH
SK-E
50Ba
llscr
ewLi
n. In
cr.
Andr
onic
400
N.A
.10
µm33
Mik
rom
at/IW
U C
hem
nitz
Dyn
apod
N.A
.N
.A.
N.A
.Ba
llscr
ew/L
inea
r dire
ctN
.A.
N.A
.N
.A.
N.A
.34
Mik
ron
Tria
glid
eN
.A.
N.A
.N
.A.
Line
ar d
irect
Lin.
Incr
.In
dram
at M
TC20
0±1
µmN
.A.
35M
TC, C
hina
Qui
qiha
er10
000r
pm12
kWH
SK-A
63Ba
llscr
ewLi
n. In
cr.
PC-b
ased
N.A
.N
.A.
36N
eos
Rob
otic
sTr
icep
t TR
805
up to
300
00rp
mup
to 4
0kW
N.A
.Ba
llscr
ewR
ot. E
nc. /
Lin.
Incr
.Si
emen
s 84
0D20
µm50
µm37
Oku
ma
Cos
moC
ente
r PM
600
3000
0rpm
7kW
HSK
-E32
Balls
crew
Rot
. Enc
.O
kum
a O
SP-U
100
N.A
.N
.A.
38R
eich
enba
cher
Pega
sus
N.A
.N
.A.
N.A
.Li
near
dire
ctLi
n. In
cr.
Siem
ens
840D
N.A
.N
.A.
39R
enau
lt Au
tom
atio
nU
rane
Sx40
000r
pm12
kWN
.A.
Line
ar d
irect
Lin.
Incr
.Si
emen
s 84
0DN
.A.
N.A
.40
Sena
Eclip
se40
000r
pmN
.A.
ISO
20
N.A
.N
.A.
PC-b
ased
N.A
.N
.A.
41SM
E Ti
anjin
Uni
vers
ity3-
HSS
8000
rpm
6kW
N.A
.N
.A.
N.A
.IP
C+P
MAC
N.A
.25
µm42
Tekn
iker
Seya
nka
3000
0rpm
8,5k
WN
.A.
Balls
crew
Rot
. Enc
.Fa
gor 8
070
N.A
.N
.A.
43To
yoda
Hex
aM42
000r
pm15
kWH
SK-A
40Ba
llscr
ewR
ot. E
nc.
Fanu
c 15
i-MA
N.A
.12
-29µ
m/3
00m
m44
Tsin
ghua
Uni
vers
ityVA
MT1
Y30
00rp
m2k
WN
.A.
Balls
crew
Rot
. Enc
.PC
-bas
edN
.A.
N.A
.45
WZL
Aac
hen
Dyn
aM16
000r
pm15
kWH
SK-A
63Ba
llscr
ewLi
n. In
cr.
Siem
ens
840D
3µm
20µm
46ZF
S St
uttg
art
Para
lixN
.A.
N.A
.N
.A.
Balls
crew
Lin.
Incr
.Si
emen
s 84
0DN
.A.
N.A
.