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
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.
34 SCIENTIFIC PROGRAM
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.
SCIENTIFIC PROGRAM15
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.
SCIENTIFIC PROGRAM37
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.
38 SCIENTIFIC PROGRAM
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.
40 SCIENTIFIC PROGRAM
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.
SCIENTIFIC PROGRAM41
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.
42 SCIENTIFIC PROGRAM
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.
SCIENTIFIC PROGRAM 43
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.
44 SCIENTIFIC PROGRAM
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.
SCIENTIFIC PROGRAM 45
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.
46SCIENTIFIC PROGRAM
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.
48 SCIENTIFIC PROGRAM
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.
SCIENTIFIC PROGRAM 49
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
WEDNESDAY, AUGUST 27
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
WEDNESDAY, AUGUST 27
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.
SCIENTIFIC PROGRAM51
SECTION II B
Chairman
D. Graffi
WEDNESDAY, AUGUST 27
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
WEDNESDAY, AUGUST 27
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.
52SCIENTIFIC PROGRAM
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.
WEDNESDAY, AUGUST 27
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,
SCIENTIFIC PROGRAM 53
WEDNESDAY, AUGUST 27
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
WEDNESDAY, AUGUST 27
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
WEDNESDAY, AUGUST 27
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.
54 SCIENTIFIC PROGRAM
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