@international congress on theoretical and applied ... · eighth international congress on...

PROCEEDINGS

OF THE.

EIGHTH INTERNATIONAL CONGRESS

ON

THEORETICAL AND APPLIED MECHANICS

Istanbul, Turkey

August 20 to 28, 1952

C<?.A

PUBLISHED BY THE

FACULTY OF SCIENCE

OF THE

UNIVERSITY OF ISTANBUL

19 5 3

TABLE OF CONTENTS

Volume I

Pas'

Editorial Committee II

Patronage Committee V

Organizing Committee VII

Executive Committee VII

List oi Delegates 1

List of Members 9

Scientific program 27

Report of the Acting Secretary 59

Opening address by the Chairman of the Organizing Committee,

Professor Kerim Erim 61

Address by the Rector of the University of Istanbul, Professor

Kazim Ismail Giirkan 64

Address by Professor C.B. Biezeno 66

Address by Professor J. Peres 69

Statistics of the Congress 71

Address by Professor Kerim Erim at the Congress Banquet ...74

Address by Dr, H.L. Dryden , , ,76

Address by Professor van Den Dungen 77

Address by Professor Tollmien 78

Address by Profesor A. Signorini 79

Address by Professor W. Prager 81

Farewell address by Professor Kerim Erim 83

Address by Professor van den Dungen 85

Address by Dr. M. Batisse , , 87

Address by Professor J.M. Burgers 89

Address by Professor O. Alisbah .91

Communications 93

Section I. Elasticity, Plasticity and Rheology 95

Section II. Fluid Mechanics 237

Section III. Mechanics of Solids 395

Section IV. Statistical Mechanics, Thermodynamics, Heat Transfer.

437

Section V. Mathematics of Physics and Mechanics, Methods

©f Computation ,471

523

SCIENTIFIC PROGRAM 29

THURSDAY, AUGUST 21

11:00 A. M.

Chairman

R. V. Southwell

GENERAL LECTURE

., _,160 min.)

J. C. HUNSAKER

Social aspects of aeronautics.

SECTION I A

Ghairmain

E. H. Lee

THURSDAY, AUGUST 21

3:00 P. M.

CONTRIBUTED PAPERS

(20 min,)

Y. Yoshimura

On the definition of stress in the finite deformation theory.H. Le Boiteux

Une theorie sur le comportement des materiaux solides visqueux.K. O. Friedrichs and R. F. Dressler

A boundary - layer theory for elastic bending of plates.R. Legendre

Emploi des fonctions biharmoniques complexes a la resolution des proble-mes d'elastostatique. Repartition des contraintes dans un disque circulaire,

R. D. Mindlin and G. Hermann

On the general theory of approximate equations of motion of elastic bodies.

H. Schaeper

Die Spannungsfunktionen des dreidimensionalen Kontinuums.

S. Irmay

On the dynamic behavior of a generalized linear rheological body.G. Grioli

SuU'equilibrio dei corpi elastici.

THURSDAY, AUGUST 21

3:00 P. M.

SECTION*! B

Chairman

M. Inan

CONTRIBUTED PAPERS

(20 min.)

M. M. Frocht and R. GtjernseYj Jr.The solution of the general three dimensional photoelastic problem.

M. M. Froght and Hui Pih

A new cementable material for two and three dimensional photoelasticresearch,

30 SCIENTIFIC PROGRAM

A. J. Durelli and R. H. JacobsonThe brittle material method of experimental stress analysis and failure prob¬lems in brittle materials.

W. Ramberg and J. A. Miller

Stress-strain curve in shear from twisting test of annulus.

P. Laasonen

Einige Untersuchungen iiber die Abhangigkeit der Formzahl von der

Kerbforrn.

M. Hetenyi and D. T. Y. Liu

A method for calculating stress-concentration factors.

E. D'appolonia

Curvilinear coordinates for the numerical solution of a notched bar in tension.

L. H. de Leiris

Sur divers effets parasites dans la determination experimentale du r&eau

des isostatiques par craqu element d'une couche de surface.

N. Eraslan

On graphical solutions for strain rosettes.

THURSDAY, AUGUST 21

3:00 P. M.

SECTION II A

Chairman

A. Ferri

CONTRIBUTED PAPERS

(20 min.)F. N. Moyers

New engineering problems in the design of the Arnold Engineering Develop¬ment Center.

E. G. M. Petrsohn

Some experimental investigations on the influence of wall boundary layerupon wind tunnel measurements at high subsonic speeds.

H. Ramm and J. M. Wild

Exhaust gas scavenging in supersonic wind tunnels.

M. Sgherer

Mesure en soufTlerie des deVivees aerodynamiques d'une maquette d'avion

par une methode d'oscillations entretenues.

G. Goupry

Determination, par la methode globale, des caracteristiques d'une maquette

dans le vent.

A, Favre, J. Gariglio and R. Dumas

Appareil de mesures de la correlation dans le temps et l'espace.A. Favre, J. Gariglio and R. Dumas

Quelque mesures de correlation dans le temps et l'espace en soufflerie.

THURSDAY, AUGUST 21

3:00 P. M.

SECTION II B

Chairman

F. N. Frenkiel

CONTRIBUTED PAPERS

(20 min.)G. K. Batchelor

Magneto - hydrodynamics (a new branch of fluid dynamics).

SCIENTIFIC PRO OR AW 31

D. Graffi

II teorema di unicita in fluidodinamica.

J. Bernard and R. Siestrunck

Aspect cindtique des mouvements fluides unidimensionnels.

L. Landweber

On the practical application of integral equations of the first kind to problemsin potential flow.

P. Germain and R. Bader

Sur le comportement des singularites des solutions des equations du typemixte.

B. R. Seth

Generalized singular points with applications to flow problems.R. Dugas

D'Alembert et l'Essai d'une nouvelle theorie sur la resistance des fluides.

G. Taylor

The swimming ofmicroscopic organisms.

THURSDAY, AUGUST 21

3:00 P. M.

SECTION III

Chairman

K. ZUBER

SECTIONAL ADDRESS

(45 min.)

A. Signorini

Quelques recherches r^centes de dynamique des solides.

3:45 P. M.

CONTRIBUTED PAPERS

{20 min.)

R. Truell

New methods in the study of the properties of solids,

R. Hirsch

Contribution a l'elude theorique et experimentale de l'approche automatique

d'un avion, en vue de son atterissage.D. Williams

Dynamic instability of systems incorporating pneumatic-tyred wheels,

its cause and cure.

S. E. stenij

A contribution to the kinematics ofepicyclic gears.

R. J. Duffw and A, Sghild

On the effect of small constraints on the vibrations of general linar systems.

R. Hirsch and J. Sagot

Calcul de la r6ponse en acceleration d'un avion muni d'un dispositif d'ab-

sorption de rafales et sounds a une perturbation definie par 1'oaci.

32

SECTION IV

Chairman

H. W. Emmons

SCIENTIFIC PROGRAM

THURSDAY, AUGUST 21

3:00 P. M.

CONTRIBUTED PAPERS

(20 min.)O. Bjorgum

On turbulent heat transfer and diffusion in a stratified boundary layer.

S. Sugawara and I. Michiyoshi

Heat transfer on a vertical flat plate by natural convection in a turbulent

boundary layer.F. S. Weinig

Solutions of the problem of heat conduction with the aid of the inverse

method.

A. K. Oppenheim

On the theory of heat transfer in a free molecule flow.

G. Sestini

Esistenza ed unicita in problemi analoghi a quello di Stefan.

H. L. Wheeler, Jr., and P. Duwez

Heat transfer in sweat - cooled porous cylinders.P. A. Libby

The thermally insulating properties of laminar compressible boundary layers.

THURSDAY, AUGUST 21

3:00 P. M.

SECTION V

Chairman

N. Terz1o6lu

CONTRIBUTED PAPERS

(20 min.)J. Boscher and L. Malavard

Determination analogique des fonctions biharmoniques.D. N. de G. Allen and S. C. R. Dennis

The formulation of biharmonic problems.R. Weyrich

Konvergente asymptotische Entwicklungen harmonischcr und verwandter

Funktionen in der Umgebung ihrer singulaeren Punkte.

S. Bergmann

Operator methods in the theory of linear partial differential equations and

their applications to computation.

FRIDAY, AUGUST 22

9:00 A. M.

SECTION I A

Chairman

K. Federhofer

SECTIONAL ADDRESS

(45 min.)H. Geiringer

Some recent developments in the theory of an ideal plastic body.

SCIENTIFIC PROGRAM33

9: 45 A. M.

CONTRIBUTED PAPERS

(20 min.)Y. Akita

Elastic-plastic stress field in two dimensions.T. Poschl

Uber die Messung der Werkstoffeigenschaften bei den plastischen Verfor-

mungsverfahren.W. Swida

Uber einige Spannungsprobleme von elastisch-plastisch beanspruchten Sta-

ben, Scheiben und Platten.

G. Sonntag

Berechnung der Umformkrafte und der Umforrnmoglichkeit beim Stauchen

achsensymetrischer Schalen.

F. K. G. Odqvist

Influence of primary creep on stresses in structural parts.

J. Ferrandon

Sur l'equilibre limite des massifs permeables.

FRIDAY, AUGUST 32

9:00 A. M.

SECTION I B

Chairman

D. C. Drucker

CONTRIBUTED PAPERS

(20 min.)M. G. Salvadori

Approximate determination of dynamic stresses in buildings.H. Kolsky

The propagation of elastic waves along cylindrical bars of finite diameter.

H. Marcus

Three dimensional analysis of propagation of longitudinal waves in an elastic

rod.

G. Hermann

Forced motions of beams and rods governed by Timoshenko-type equations,A. Boley

An energy theory of transverse impact on beams.

A. C. Eringen

Methods for solving impact problems on beams and plates.

SECTION II A

Chairman

R. Truell

FRIDAY, AUGUST 22

9:00 A. M.

CONTRIBUTED PAPERS

(20 min.)M. Schaefer

Eine einheitliche Charakteristiken - Methode zur Behandlung gemischterUnterschall - Uberschallstromungen und ihre Anwendung auf die Untersu-

chung von stationaren Storungen.


H. Kraft

Computation of two dimensional subsonic isentropic compressible flow in

the hodograph plane. Logarithmic singularities, their evaluation and their

use.

M. Liger

Sur une nouvelle approximation pour 1'etude des ecoulements subsoniqueset transsoniques.

G. S. S. Ludford

D'Alembert's paradox and the moment formula in three dimensional sub¬

sonic flow.

I. Imai

Extension of von Karman's transsonic similarity rule.

G. K. Morikawa

Concial potential solutions in linearized supersonic flow.

D. P. Riabouchinsky

On hydraulic analogies of gas dynamics.

A. Ghaffari

Sur les solutions elementaires des equations hodographiques.A. E. Billington

Periodic forces upon a circular disc.

FRIDAY, AUGUST 22

g:oo A. M.

SECTION II B

Chairman

E. G. Barillon

CONTRIBUTED PAPERS

(20 min.)L. A. Sackmann

Les ecoulements dans les canalisations (film de 16 mm).C. Hook

.,

Hydrofoil boat with incidence control in wave travel,

M. Roseau

ReTlexion des ondes liquides de gravite dans un canal de profondeurvariable.

L. Escande and J. Mougaro

Etude th^orique du fonctionnement des canaux de fuite en charge en 1'ab¬

sence de cheminee d'equilibre.G. Supino

La propagation des ondes de translation dans les canaux.

F. L. Wattendorf

The influence of induced prerotation on the flow through rotating blade

systems.

11:00 A. M.

SECTIONAL ADDRESS

(45, min.)G. Temple

The dominant derivative method in aerodynamics.


FRIDAY, AUGUST 22

9 :oo A. M.SECTION III

Chairman

A. Coppens

CONTRIBUTED PAPERS

(20 min.)

G Chartier and J. BourotVisualisation des mouvements vibratioires.

W. P. Mason, S. D. White

New techiniques for measuring forces and wear in telephone equipment.C. Zocchi

Ocillazioni per attrito cinetico.

R. Mazet

Utilisation de la notion de memoire pour le calcul des vibrations libres

d'une structure en milieu aerodynamique.T. Vogel

Oscillations de deferlement.

J. B. Keller

Bowing of violin strings.R. N. Arnold

The limiting speeds of operation of simple cam systems.G. Cahen and M. Ballet

Les analogies eHctromecaniques et leurs applications aux probl ernes des

vibrations.

N. Eraslan

Sur les forces d'inerties agissant sur un systeme de "Bielle-Manivelle".

FRIDAY, AUGUST 32

9:00 A. M.

SECTION IV

Chairman

P. Duwez

CONTRIBUTED PAPERS

(20 min.)P. Vernotte

Connection par une sphere a peine chaude.

M. M. El Alaily

Unsteady heat flow in composite slab.

H. Cohen

Heat transfer by free convection in totally enclosed rotating fluid elements.

B. Pinkel

A summary of naoa research on heat transfer and friction for air flowingthrough tube with large temperature difference.

C. F. Kayan

Electrical analogy analysis of combined heat transfer and vapor diffusion

- The wet bulb thermometer.

D. N. de G. Allen and R. T. Severn

The heat-conduction equation in three dimensions.

36SCIENTIFIC PROGRAM

FRIDAY, AUGUST 22

9:00 A. M.

SECTION V

Chairman

L. Malavard

CONTRIBUTED PAPERS

(20 min.)

J. Chazy

Sur une extension des equations canoniques.

K. H. Swainger

Potential theory extended to higher order tensors.

O. BjorgumOn the study of special vector fields.

H. G. Kussner

Zur Dimensionsanalysis physikalischer Grossen.

A. Mercier and E. Schaffhauser

Theorie unitaire des champs gravitationnel et electrornagndtique.A. Mercier and P. Wilker

Homogener kanonischer Formalismus und Qjnantentheorie.

FRIDAY, AUGUST 22

12:00 A. M.

Chairman

h. s. solberg

GENERAL LECTURE

(60 mm.)Sir Geoffrey Taylor

Hydrodynamic theory of detonating explosives.

SATURDAY, AUGUST 23

9:00 A. M.

SECTION I A

Chairman

S. Levy

CONTRIBUTED PAPERS

(20 min.)F. Nakanishi

Fatigue under cyclic torsion and rotating bending,

F. Nakanishi

Criteria for endurance limits of steel.

W. Weibtjll

Relations between fatigue life, its scatter and the load.

T. Ishibashi

The mechanism of fatigue crack propagation in carbon steels on the fatiguelimits of notched bars.

B. J . Laz;an and L. J. Demer

Damping, elasticity, fatigue and crack propagation properties of unnotched

and notched materials.

B. M. Thompson

Calculated behavior of notched tensile specimens in the plastic state.


E. H. Lee

Plastic flow in a tensile notched bar with rectangular root.

J. Marin and J. A. Sauer

Behavior of aluminium under biaxial stress.

H. Kolsky

The attenuation ofmechanical pulses ofshort duration by rubber-like material.

SATURDAY, AUGUST 23

9:00 A. M.

SECTION I B

Chairman

H. Marcus

CONTRIBUTED PAPERS

(20 min.)H. Favre and B. Gilo

La plaque rectangulaire flechie d'epaisseur lineairement variable.

V. Bogunovic

Uber die Biegung der dreiseitig gelagerten Rechteckplatten.Yi-Yuan Yu

'

Gravitational stresses in a circular ring resting on a horizontal plane.D. Radenkovic

Bending of a rectangular plate weakened by a hole.

F. Schultz - Grunow

Greensche Funktionen fur elastische Platten.

G. Pickett and W. C Janes

Bending underlateral load of a circular slab on an elastic solid foundation.

SECTION II A

Chairman

S. Tomotika

SATURDAY, AUGUST 23

9:00 A. M.

CONTRIBUTED PAPERS

(20 min.)T. Hanoka

Theory of an annular lifting surface.

W. P. JonesThe oscillating srofoil in subsonic flow.

M. G. Scherberg and J. R. Foote

Dynamics of the opening parachute.L. C. Woods

Aerofoil design in two-dimensional subsonic compressible flow.

R. Legendre

Ecoulement au voisinage de la pointe avant d'une aile a forte fleche aux

incidences moyennes.

F. C. Haus

Etude harmonique du mouvement des ayions.

G. M. Andrew

Dynamics of an autopiloted airplane.


K. Oswatitsch

Theoretische Arbeiten iiber schallnahe StrOmungen am FlugtechnischenInstitutt der Kungl. Tekniska Hbgkolan, Stokholm.

F. Kenne and K. Oswatitsch

Nichtangestellte Korper kleiner Spannweite in Unter-und Oberschallst-

romung.

SATURDAY, AUGUST 23

9:00 A. M.

SECTION II B

Chairman

J. Kampe De Feriet

CONTRIBUTED PAPERS

(20 min.)R. F. Dressler

Hydraulic resistance effect upon the dam-break functions.

P. Casal

Sur la r^gularit^ des ecoulements.

Y. Yamamoto

General theory of wave motion due to a moving body.F. G. Gravalos

The dynamics of turbo-flow.

J. Fabri and J. Bernard

Ecoulement d'un fluide parfait incompressible dans un rotor centrifuge a

nombre elevd de pales.A. L. de Gelder

La' capacite de l'hydrocyclone.F. I. N. Niordson

Vibrations of a cylindrical waterfilled tube.

J. Kravtchenko

Sur un probleme aux limites non - lineaire.

SATURDAY, AUGUST 23

9:00 A. M.

SECTION III

Chairman

R. N. Arnold

CONTRIBUTED PAPERS

(20 min.)P. Laasonen

Einige Bemerkungen in bezug auf die Berechnung der Flatterform des Flug-zeugflugels.

J. P. Den Hartog

Shimmy of airplane landing gear.

,,,C. D. Burdick, L. Halfman and S. Lees

Gyroscopic control of flutter.

M. O. W. Wolfe

The influence of the proximity of propeller and wing on propeller order air¬

craft vibration.

L. Gauthier

Regime de frottement de paliers de laminoirs a coussinets en materiaux

bakelisds.

SCIENTIFIC PROGRAM«g

SATURDAY, AUGUST 23

9:00 A. M.

SECTION IV

Chairman

G. Sestini

CONTRIBUTED PAPERS

(20 min.)

E. F. Lype

Application of the virial theorem to liquid-vapor phase transitions.F. Gursey

On the virial coefficient of a real gas.P. Janssens

Recherche de changement d'etats de systemes en interaction.P. Lieber

A statistical-mechanical approach to real gas flows with applications to shockand expansion waves.

U. T. Bodewadt

Zur Berechnung der Gasstrahlung in drehgleichen Hohkaumen.

J. R. Weske

Statistical methods applied to the analysis of three - dimensional cycliclyvarying flow.

F. Bopp•

Uber die statistischen Grundlagen der Quantenmechanik.

SATURDAY, AUGUST 23

9:00 A. M.

SECTION V

Chairman

A. Walther

CONTRIBUTED PAPERS

(20 min.)

H. Bilharz

Bemerkung zur geniiherten Quadratur.H. Gebelein

On new tables by Schuler and Gebelein.

H. Poncin and P. Brousse

'Etude de certains ensembles fonctionnels generalisant les fonctions de Stokes,

'Beltrami, utilisables en mecanique des solides et des liquides.G. Lundin

iA step-by-step analogue computer according to S. Reisch.

L. Malavard

Machine analogique pour les calculs d'analyse et syntese harmonique et la

1 resolution des equations algebriques.H. BpCKNER

Principles of a small differential analyser.


SATURDAY, AUGUST 23

12:00 A. M.

Chairman

J. Nielsen

GENERAL LECTURE

(60 min.)

J. von Neumanin

Automatic computation and Hydrodynamics.

MONDAY, AUGUST 25

9:00 A. M.

SECTION I A

Chairman

A. Sokullu

CONTRIBUTED PAPERS

(20 min.)H. Ziegler

On linear elastic stability.M. Kuranisiii

Some recent investigations on the elastic stability of bars.

T. Hayashi

Torsional buckling of orthogonal anisotropic cylinders.M. Yoshiki

A new method to determine the critical buckling points of rectangular platesin compression.

R, E. Newton and I. H. Stockel

Inelastic columns of minimum weigt.M. Inan

Durchschlagsbiegemoment des leicht zylindrisch gekrUrnmten Stahlbandes.

H. Brandenberger

Drei Naturgesetze als neue Grundlagen der gesamten Elastizitasts und

Festigkeitslehre.

SECTION I B

Chairman

J. P. Den Hartog

MONDAY, AUGUST 25

9:00 A. M.

CONTRIBUTED PAPERS

(20 min.)R. Gran Olsson

Schwingungen von Hangerbriicken.N. J. Hoff and V. G. Bruce

Dynamic analysis of the buckling of laterally loaded flat arches.

L. S. Wassermann

Vibration characteristics of twisted roating beams.

M. Hentsch

Calcul de resistance des disques asymetriques en rotation.

K. Zober

Die Ultraschallgmppe des Institutes fur Experimentelle Physik.


K. Federhofer

Stabilitat und Eigenschwingungen der Kreiszylinderschale mit verander-licher Wandstarke.

MONDAY, AUGUST 2 <s

9:00 A. M.

SECTION II A

Chairman

A. D. Young

CONTRIBUTED PAPERS

(20 min.)

A. P. Martinot - Lagarde and G. Gontier

Sur une determination experimentale du domaine transsonique.H. Ashley

The experimental confirmation of unsteady aerodynamic theroy.P. H. Dane

U, S. Air Force research on problems of flight at extreme altitudes.M. Bismut

Mesure statique des derivees aerodynamiques de roulis.

P. R. Owen and A. D. Orinerod

Experiments on triangular wings in a supersonic airstream.

R. Siestrunck and J. Fabri

L'helice supersonique, propulseur aux vitesses transsoniques.R. Michel

Sur la predetermination du point de transition et le calcul de la trainee

de profils d'aile,

J. H. McMillan

Some experiments on the response of a gaseous medium to missciles travellingat hypersonic speed.

J. Valensi, H. Parigi and F. Rebont

Determination en soufflerie des derivees aerodynamiques (stabilite laterale).

MONDAY, AUGUST 25

9:00 A. M.

SECTION II B

Chairman

D. Riabouchinsky

CONTRIBUTED PAPERS

(20 min.)G. Drougge

Experimental investigation of the influence of strong adverse pressure gradientson turbulent boundary layers at supersonic speeds.

H. L. Dryden

Rewiew of published data on the effect of roughness on transitionfrom laminar

to turbulent flow.

M. Z. Krzywoblocki

Turbulence theory in compressible fluids.


T. Theodorsen

The theory of turbulence.

R. Betchov

A one dimensional model of turbulence.

F. H. Clauser

The structure of the outer portion of turbulent shear layers.D. Coles and F. E. Goddard

Direct maesurement of skin friction on a smooth flat plate at supersonicspeeds.

SECTIONAL ADDRESS

(45 min.)

J, M. Burgers

Some statistical problems conneded with solutions of a simple non-linear

equation.

MONDAY, AUGUST 25

g :oo A. M.

SECTION III

Chairman

S. M. Uzdilek

CONTRIBUTED PAPERS

(20 min.)

J. Bouzitat

Sur l'appui lisse de deux corps solides.

N. Soda

Statistical aspects of contact and friction of solids.

J. A. Sauer and J. N. Brennan

Determination of internal friction in metals.

A. Chartet

Note sur le gllssement accompagnant le roulement de cylindres indeTinis iden-

tiques dans le cas d'un frottement visqueux au contact.

R. Mercier

Etude mdcanique du solide reel au moyen d'une methode purement elect-

rique.R. SONNEVIELLE

Contribution a la modernisation des voies ferrdes.

MONDAY, AUGUST 25

9:00 A. M.

SECTION V

Chairman

M. G. Salvadori

CONTRIBUTED PAPERS

(20 min.)E. Doucet

Sur le probleme inverse du calcul des variations et sur une application au

principe de Hamilton.


J. B. Diaz and M. H. Martin

Riemann's method for partial differential equations in two independentvariables.

C. Arf

On a generalisation of Green's formula.

A. Walther

Losen nichtlinearer Differentialgleichungen mit der Integrieranlage iPM-ott.

MONDAY, AUGUST 25

12:00 A. M.

Chairman

F. H. Van Den Dungen

GENERAL LECTURE

(60 min.)

R. Courant

Reciprocal variational problems and applications to problems of

equilibrium.

MONDAY, AUGUST 25

3:00 P. M.

SECTION I A

Chairman

R. Mindlin

CONTRIBUTED PAPERS

(20 min.)

L. M. Milne-Thomson

Saint-Venant's flexure problem.

M. A. Sadowky and E. Sternberg

Pure bending of an incomplete torus.

G. Fichera

On the elastic torsion of hollow prisms.

W. Basilewitsch

Das Torsionsproblem der T und Z Profile.

L. E. Zachrisson

On the torsion of beams with multiply connected polygonal cross - sections

with symmetries.

SECTION I B

Chairman

N. Hoof

MONDAY, AUGUST 25

3:00 P. M.

CONTRIBUTED PAPERS

(20 min.)

O. JenssenA special case of toroidal shells.


R. Gran Olsson

Zur Berechnung von Torusschalen.

E. Wenk Jr. and C E. Taylor

Analysis of stresses at the reinforced intersection of conieal and cylindricalshells,

J. R. M. Rodok

General instability of cylindrical shells.E. Wenk Jr. and W. A. Nash

Some experimental studies of the buckling of stiffened cylindrical shells

subjected to hydrostatic pressure.

SECTION II A

Chairman

P. Germain

MONDAY, AUGUST 25

3:00 P. M.

CONTRIBUTED PAPERS

(20 min.)

K. Tamada

On the detachment of a shock wave from the leading edge of a finite wedge.A. H. Shapiro and J. Kling

On the thickness of normal shock waves in a perfect gas.H. Cabannes

Etude de la courbure au sommet d'une onde de choc attach ee dans un

ecoulement plan non-stationaire.

W. D. Hayes

On the compression shock.

T. F. W. Embelton

Change in lenght of a triangular wave from, of finite amplitude on normal

reflection at a rigid boundary.

MONDAY, AUGUST 25

3:00 P. M.

SECTION II B

Chairman

G. K. Batchelor

SECTIONAL ADDRESS

(45 min.)F. N. Frenkiel

Turbulent diffusion.

3:45 P. M.

CONTRIBUTED PAPERS

(20 min.)

J. Bass

Les correlations spatio - temporelles en turbulence non homogene.


P. Janssens

Sur les correlations dans les fluides compressibles turbuients.

MONDAY, AUGUST 25

3:00 P. M.

SECTION III

Chairman

N. Eraslan

CONTRIBUTED PAPERS

(20 min.)

C Grubin and P. Lieber

A theory of an acceleration damper leading to a rational design procedure.S. Levy, E. V. Hobbs, W. D. Kroll and L. Mordfin

Damping of elastically supported element in a vacuum tube,

M. M, Stanisic

Free vibration of a rectangular plate under damping consideration.

SECTION I A

Chairman

F. Odqvist

TUESDAY, AUGUST 26

9:0 A, M.

SECTIONAL ADDRESS

(45 min.)

W. Prager

The general theory of limit design.

9:45 A.M.

CONTRIBUTED PAPERS

(20 min.)

D. C. Drucker

Limit analysis of three dimensional mechanics problems.E. T. Onat and W. Prager

Limit analysis of arches.

E. T. Onat and D. C. Drucker

Inelastic instability and incremental theories of plasticity.R. A. Eubanks, D. Muster and E. G. Volterra

Some experiments at high rates of loading.B. S. Mesick

On the use of hardness measurements in the determination of deformingloads and residual stresses in thick hollow cylinders.

K. Erim and H. Yuksel

Some remarks on elastic-plastic trusses.


H. YfJKSEL

Mechanical behavior of elastic - plastic trusses with members subject to

buckling.

TUESDAY, AUGUST 26

g:oo A. M.

SECTION I B

Chairman

H. ZlEGLER

CONTRIBUTED PAPERS

(20 min.)

E. VOLTERRA

Deflections of circular beams resting on elastic foundations under symmetricor antisymmetric loading.

E. Doucet

Etude critique de la solution proposee par Navier auprobleme de la plaquerectangulaire elastique.

F. Buckens

Stabilite des plaques soumises a des tensions thermiques.C.G.J. Vreedenburgh and O. Stockman

Shape effect of column head and column plate on stress distribution in

flat slab floors.

J. Barthelemy

Calcul d'une lame rectangulaire encastree chargee d'une pression nor-

male sur un rectangle central.

R. Yarar

On large deflection in an infinite strip with symmetrical line loading.

TUESDAY, AUGUST 26

9:00 A. M.

SECTION II A

Chairman

R. SeegerCONTRIBUTED PAPERS

(20 min.)

G. M. Lilley

The sound field from a small high speed air jet.D, P. RlABOUCHINSKY

On gaseous jets and rocket guns.

H. Rouse

Cavitation in the mixing zone of a submerged j el.

L. Grocco

Supercritical gaseous discharge with high frequency oscillations.

Z. Hashimoto

Plane jet of gas emitted from a nozzle with supersonic velocity.L. Crocco and Sin-I Cheng

High frequency combustion instability in rockets with concentrated com¬

bustion,

SCIENTIFIC PROGRAM 4?

R. Timman

Some problems in non stationary airfoil theory.M. H. Clarkson

A second - order theory for three dimensional wings in supersonic flow.

TUESDAY, AUGUST 26

9:00 A. M.

SECTION II B

Chairman

M. J. Lighthill

CONTRIBUTED PAPERS

(20 min.)

J. F. Alcock and G. D. S. Mac Lellan

Thermocentrifugal convection.

A. Roshko

On the development of turbulent wakes from vortex streets.

C Truesdell

A measure of vorticity.

H. S. SquireThe growth of a vortex in turbulent flow.

O. Yadoff

Electromagnetic turbulences produced in a fluid medium.

J. F. Alcock and Hempson

Recirculation in vortices with axial movement.

E. H. Dickman

Pumpwirkung von turbulenten Grenzschichten.

TUESDAY, AUGUST 26

9 :oo A. M.

SECTION HI

Chairman

W. Ranberg

CONTRIBUTED PAPERS

(20 min.)

A. Charnes and E. Saibel

On the hydrodynamical theory of lubrication.

S. Tomotika

The skin friction af flat plates at small Reynolds numbers.

J. B. T. Downs

Effects of deflection on journal bearings operating with film lubrication.

B, DizioSLU

Die Temperaturverteilung und der Warmeubergang in parallelen

Schmierschichten.


L. M. Tichvinsky

Note on foaming of Diesel engine lubricating oils.

J. Kravtchenko

Sur quelques aspects de la mecanique analytique.

Z. JankovicUber die Masse als einen der Grundbegriffe der Mechanik.

SECTION IV

Chairman

P. Lieber

TUESDAY, AUGUST 26

9:00 A. M.

B H. JenningsA study of the parameters controlling the measurement of humidity in air

at sub-freezing temperatures.

B. Vodar

Quelques recherches sur les proprietes thermodynamiques des gaz com-

primes au laboratoire des hautes pressions de Bellevue.

A. Coppens

Statistical comparison of 1 - stroke and 2 - stroke Diesel engines.R. Vichnievsky and J. Weissmann

Methods des mesures electroniques statistiques pour 1'etude des phenome-

nes de combustion dans les moteurs altenatifs.

A. P. Martinot - Lagarde and G. Gontier

Chaleur specifique des fluides sensiblement isovolumes.

J. N. Surugue, R, Kling and R. H'uchet

Les temps de relaxation des echanges d'energie dans les gaz de combustion,

G. Papaioannou

Sur le calcul theorique de Gu, Cp.

SECTIONAL ADDRESS

(45 min.)

M. Roy

Syntese energetique de Tautopropulsion.

TUESDAY, AUGUST 26

9:00 A. M.

SECTION V

Chairman

G. Temple

CONTRIBUTED PAPERS

(20 min.)

J. Bouzitat

Sur une methode d'analyse harmonique des fonctions peViodiques et son

application aux mouvements command es par certains cames.


D. J. Richardson

The theory of information.W. Bubb

Linear noise smoothing and predicting systems.F. N. Frenkiel and J. W. Follin Jr.

On multivariate normal probability distributions.C. L. Fredrick

Physics of radio interference in aircraft.

SECTIONAL ADDRESS

(45 min.)

N. Minorsky

Sur la methode stroboscopique et ses applications.

TUESDAY, AUGUST 26

12:00 A. M.

Chairman

J. M. Burgers

GENERAL LECTURE

(60 min.)

A. KantroWitz

Physical phenomena associated with strong shock waves.

WEDNESDAY, AUGUST 27

9:00 A. M.

SECTION I A

ChairmanF. Nakanishi

CONTRIBUTED PAPERS

(20 min.)

W. A. Gross and W. W. Soroka

Equivalent circuit solution for torsion of a stub shaft.

M. DjuricA contribution to the theory of prismatical thin slab structures.

L. H. Donnell

Bending of rectangular beams.

J. M. Klitchieff

Torsion eines I Tragers.O. Pettersson

Combined bending and torsion of I beams of monosymmetrical cross section,

N. Klein

On mechanical properties of gas compression cables,

R. SONNTAG

Zum Torsionsproblem der abgesetzten Welle.G. Salet

L'aplexisme des anneaux charges sur une ligne distincte de la fibre moyenne.

G. Salet

La divergence dans les constructions geometriquement imparfaites.

5Q SCIENTIFIC PROGRAM


9:00 A. M.

SECTION I B

Chairman

K. Marguerre

CONTRIBUTED PAPERS

(20 min.)

W. Freiberger

On the plastic torsion of a circular ring.T. H. H. Pian

On large plastic deformations of beams under transversal impact.M. G. Salvadori and F. D, Maggio

On the dcvelomment of plastic hinges in rigid plastic beams.

H. Neuber

Uber die Gleitflachen der ideal anisotrop-plastischen Medien.

W. T. Koiter

Some remark on plastic chakedown theorems (a).

SECTION II A

Chairman

M. H. Martin


9:00 A. M.

CONTRIBUTED PAPERS

(20 min.)

T. R. GULLSTRAND

The flow over 2 - dimenional eerofoils in the transonic speed range.

M. J. Ettlinger

Linearized supersonic air flow around a thin airfoil .

W. G. Vincenti and C. B. Wagoner

Transonic lift characteristics of a double-wedge profile with detached bow

wave.

A. D. Young

Boundary layer effects on the characteristics of supersonic aerofoil sections,

Gi-iien - Chien Chang and Wen-Hwa Gnu

Aerodynamic characteristics of an oscillating cascade.

M. Fenain

Approximations des ecoulements des gas re61s. Application aux tuyeres

planes.O. Mawardi

Ona a variational principle in acoustics.

O. S. Muftuo&lu

Notes on the solution of axi-symmetrical flows.

C. Kaplan

Transsonic flow past a wave shaped wall.


SECTION II B

Chairman

D. Graffi


g:oo A. M.

CONTRIBUTED PAPERS

(20 min.)

W. Barth

StrSmungen mit Festteilchen bei Beschleunigung und Umlenkung.F. John

Potential flows with a free boundary.F. W. Riegels

Darstellung von Potentialstromungen mittels ringformiger Quellbelegungen,A. Ferri

Conical flows without axial symmetry.G. Couchet

Sur la force vive d'un fluide et le calcul des efforts de ce fluide sur un profilen mouvement.

P. Eisenbeg

Asymptotic solutions for the virtual - masses of prolate ellipsoids near a

free surface for very small and very large Froude numbers.H. Schlichting

Die Str8mung um einen axial angestromten rotierenden Drehkorper.E. H. Dickman

Zur dreidimensionalen StrOmung in Turbinen und Pumpen.D. R. Bland

Mathematical theory of the flow of a gaz in porous solid and ofthe associated

temperature distribution.

SECTION V

Chairman

N. Kritikos


9:00 A, M.

CONTRIBUTED PAPERS

(20 min.)F. W. Bubb

A new linear operational calculus.

T. Manacorda

Linearity asintotica di una classe di equazioni differenziali.G. E. Latta

Singular perturbation problems.Y. H. Ku

A solution of nonlinear differential equation for the study of electrome¬

chanical problems.L. C. Woods

|

The numerical solution of fourth order differential equations.A. Denjoy

L'iteration indefinie de la transformation d'une circonference en elle mteie.


WEDNDSDAY, AGUST 27

12:00 A. M.

Chairman

H. L. Dryden

GENERAL LECTURE

(60 mm )

W. ToLLMIEN

Uber Schwingungen in laminaren Stromungen und die Theorie der

Turbulenz.

-WEDNESDAY, AUGUST 27

3:00 P. M.

SECTION I A

Chairman

M. Hetenyi

CONTRIBUTED PAPERS

(20 min.)

R Beeuwkes Jr. and O. L. Bowie

On some general characteristics of cracks and loading singularities in cylinders.G. Arf

Sur un probleme de frontiere libre d'elasticite bidimensionnelle.

H. Rutishauser

The calculation of the stress in a parallelogram - shaped plate due to a

force in the same plane.

S. R. Heller Jr.Reinforced circular holes in bending with shear.


3:00 P. M.

SECTION I B

Chairman

T. Poschl

CONTR!BUTED] PAPERS

(20 min.)

W. A. Nash

Buckling of multiple - bay ring reinforced cylindrical shells subject to exter¬

nal hydrostatic pressure.

L. Broglio

The calculation of stresses for \he shell of translation.

J. J. McNamee

Stresses in multibarrel shell roofs.

F. S. Shaw and N. Perrone

A numerical solution of the large deflection of membranes.

J. Fadle

Diq Theorie der Mehrschichten-Minimalrohre,



3:00 P. M.

SECTION II A

Chairman

R. Truell

CONTRIBUTED PAPERS

(20 mm)A. CIlesiz and K. Zuber

Eine neue Ultraschall Pulsanordnung.R. Kling, E. Nicolini and M. J. Tissot

Application des ultrasons a 1'etude des proprietes elastiques d'hydrocar-

bures dans un domaine etendu de temperature et de pression,

C, Ener

On the study of the wave field of a vibrating quartz crystal.

R. A. Gros and H. W. Emmons

Discontinuity properties of flames and the measurement of flame speeds.

N. S, Taskoprulu

Test of Liebermann's theory of the dynamic compressibility of a Mg So*

solution,

SECTION II B

Chairman

H. Rouse


3:00 P. M.

CONTRIBUTED PAPERS

(20 min.)A. Oudart

Mise en regime de la couche limite.

H. Fettis

A simplified treatment of the differential equation for the momentum thick¬

ness in the boundary layer,

S. Kaplun

Remarks on boundaiy layer theory and higher order approximations for

incompressible flow,

P. A. Lagerstrom

Corrections to boundary layer theory for incompressible flow past a flat

plate,E. Hogner

Edge effect in boundary layers,

SECTION V

Chairman

A. Lichnerowicz


3:00 P. M.

SECTIONAL ADDRESS

(45 min.)

A. Ghizzetti

Sur une methode pour le calcul des valeurs propres et des fonction propres,

et sur son application a 1'equation de Schrodinger.


3:45 P. M.

CONTRIBUTED PAPERS

(20 min.)

R. V. Southwell

A specially difficult class of Eigenvalue problems.H. GiJRMEN

Schablon pour la determination des harmoniques.S. N. Alexander

High speed digital computers and their application to problems of applied

mechanics.

THURSDAY, AUGUST 28

9:00 A. M.

SECTION IB

Chairman

H. PeynircIoglu

CONTRIBUTED PAPERS

(20 min.)

I. Rifaat and Y. Nicolas

The soil as material of variable elasticity.E. Reissner

Finite twisting and bending of a circular ring sector late.

M. Tanrikulu

Ordinary poles in plane stress.

D. R. Bland

Mean displacements on the boundary of an elastic solid,

L. H, Donnel

Failure of material under tri-axial stress.

11:00 A. M.

SECTIONAL ADDRESS

(45 min.)

M. Reiner

Rheology of second order effect in elasticity and hydrodynamics.

THURSDAY, AUGUST 28

9 :oo A. M.

SECTION II B

Chairman

G. Supino

CONTRIBUTED PAPERS

(20 min.)

S. Tomotika and T. A01

The steady flow of a viscous fluid past an elliptic cylinder at small ReynoldsS. Uchida

On the non linear problems in percolation flows.

H. G. Kussner

Auf zaher Flussigkeit schwimmende Platte.

SCIENTIFIC PR66RAM 55

K. Pohlhausen and K. Millsaps

Thermal distributions in Jeffery-Hamel flows between non - parallel walls.

M. Reiner

On volume viscosity.J. Kampe De Feriet

L'unicite du mouvement d'un fluide visqueux incompressible et l'equationde la Chaleur.

J. Valensi and C. Clarion

Oscillations amorties d'une sphere dans un liquide visqueux.L. Marchetti

Mouvement des corps dans une aimosphere tres rarefiee.

A. I. Van der Vooren and H. Bergh

Measurement of srodynamic forces on an oscillating Airfoil.

THURSDAY, AUGUST 28

g :oo A, M.

SECTION V

Chairman

F. §EMlNCONTRIBUTED PAPERS

(20 min.)

A. Kashef, Y. S. Totjloukian and R. E. Fadtjn

Analysis of water table and artesian well problems under trancient con¬

ditions by the finite difference method,

L. A. Sackmann

Recherches r£centes et formules generates sur la raise en equation des

resultats d'experience.L. Couffignal and M. A. Lenouvel

Le lissage des releves experimeataux.A. Ghizzetti

Sur 1'interpolation a plusieurs dimensions.

R. Mercier

Sur l'emploi du diagramme des impedances dans le calcul des radiateurs

ultrasoniques.Nazir Ahmad

Review of experimental technique to problems in Applied Mechanics.

E. Inonu and E. P. Wigner

On unitary representations of the Galilei group.

THURSDAY, AGUST 28

12.00 A. M.

Chairman

H. Favre %GENERAL LECTURF

(60 min.)

A, Lichnerowicz

Methodes tensorielles en Mecanique.Mekanlk S

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