Journal of Applied Mathematics and Mechanics 2010: Vol 74 Index & Table of Contents

2010·1.8 MB·English

JOURNALO F
APPLIED MATHEMATICS AND MECHANICS
PRIKLADNAYA MATEMATIKA I MEKHANIKA
LIST OF CONTENTS AND AUTHOR INDEX
VOLUME 74, 2010
ELS
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APPLIED MATHEMATICS AND MECHANICS
The Journal of Applied Mathematics and Mechanics is translated cover to cover
(Russian original copyright: Nauka,
90 Profsoyuznaya ul., Moscow 117864) and has been published by Pergamon since 1958.
Translation Editors:
R. C. GLASS, City University, London, UK
Panel of Translators:
P. S. CURTIS, R. C. GLASS, N. N. ROGACHEVA, P. SHELNITZ, E. L. SHORT, E.V. TEODOROVICH
PRIKLADNAYA MATEMATIKA I MEKHANIKA
Russian Academy of Sciences
Editorial Board
F. L. CHERNOUS’KO (Editor-in-Chief)
Yu. P. GUPALO (Deputy Editor)
G. G. CHERNY!I A. G. KULIKOVSKII
1. G.G ORYACHEVA N. F. MOROZOV
S. S. GRIGORYAN Yu. S. OSIPOV
A. V. KARAPETYAN L. V. OVSYANNIKOV
V. 1. KONDAUROV * G. A. TIRSKII
V. V. KOZLOV V. F. ZHURAVLEV
N. N. KRASOVSKII
Editorial Advisory Board
L. D. AKULENKO A.S. KRAVCHUK
V. M. ALEKSANDROV A. P. MARKEYEV
S. A. AMBARTSUMYAN B. E. POBEDRYA
I. 1. BLEKHMAN G. Ya. POPOV
N. N. BOLOTNIK V. V. PUKHNACHEV
R. V. GOL’DSHTEIN N. N. ROGACHEVA
A. P. IVANOV S. Ya. STEPANOV
D. D. IVLEV V. V. SYCHEV
A. N. KRAIKO V. N. TKHAI
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VOLUME CONTENTS
VOLUME 74 2010 NUMBER 1
CONTENTS
Valerii Vasil’evich Kozlov (on his Sixtieth Birthday)
V.V. KOZLOV: Remarks on the degree of instability
F.L. CHERNOUS’KO and M.M. SHUNDERYUK: The influence of friction forces on the dynamics of a two-link mobile
G.A. LEONOV: Efficient methods in the search for periodic oscillations in dynamical systems
A.E. BAIKOV and P.S. KRASIL’NIKOV: The Ziegler effect in a non-conservative mechanical system
A.P. IVANOV: The use of the constructive method in systems with static friction
A.A. BUROV: Poisson variations in the problem of the stability of equilibria in rigid body mechanics
S.P. SOSNITSKII: The stability of some classes of systems in standard Bogolyubov form
V.A. RUSANOV and D.YU. SHARPINSKII: The theory of the structural identification of non-linear multidimensional
systems
I.M. ANAN’EVSKII: Control of mechanical systems with uncertain parameters by means of small forces
S.A. RESHMIN: The decomposition method for a control problem for an underactuated Lagrangian system
PLM. SHMATKOV: The optimal choice OF CONtFON CONSEVAIES <<. icc ccc ices ceccecdcedddccecdnccncscedieccecscoccececsec
Contents of next issue
VOLUME 74 NUMBER 2
CONTENTS
A.G. KULIKOVSKII and N.T. PASHCHENKO: The effect of as mall background inhomogeneity on the asymptotic properties
of linear perturbations
G.A. LEONOV: A criterion for the existence of four limit cycles in quadratic systems .....0..0 ..ec e.e c.ec e.e e.eee.eee es
A.A. MELIKYAN: Singular boundary characteristics of the Hamilton-Jacobi equation
M.V. ISHKHANYAN: The interconnection of sliding and rolling in the problem of the motion of a homogeneous sphere
on a rough horizontal plane
A.S. ZIMOVSHIKOV and V.N. TKHAI: Stability diagrams for a heterogeneous ensemble of particles at the collinear
libration points of the photogravitational three-body problem
M.A. NOVIKOV: The stability boundaries of the steady motion of a satellite with a gyroscope
E.N. BERESLAVSKII: Investigation of the effect of seepage or evaporation from a free surface by the method of circular
polygons
E.V. TEODOROVICH: Self-similar solution of the plane problem of the evolution of a hydraulic fracture crack in an
elastic medium
A.KH. PERGAMENT and D.A. UL’KIN: Similarity and dimensional analysis in the plane problem of the propagation of a
vertical hydraulic fracture crack in an elastic medium
V.S. POLENOV and A.V. CHIGAREV: Wave propagation in a fluid-saturated inhomogeneous porous medium
D.V. DOLGIKH and V.V. KISELEV: Corrugation of a flexible ring under external hydrostatic compression
YE.I. MIKHAILOVSKII and YU.V. TULUBENSKAYA: An algorithm for the local exhaustive search for alternatives in an
essentially non-linear eigenvalue problem
A.M. LIN’KOV: The end zone of a shear crack propagating at an intersonic velocity
S.M. AIZIKOVICH, L.I. KRENEV, B.V. SOBOL’ and 1.S. TRUBCHIK: An equilibrium penny-shaped crack in an inhomogeneous
elastic medium
N.D. VAISFEL’D and G.YA. POPOV: The wave field generated by a centre of rotation in an unbounded elastic medium with
a semi-infinite conical crack
doi: 10.1016/S0021-8928(11)00024-4
Erratum
L.D. AKULENKO and S.V. NESTEROV: Erratum to “The stability of the equilibrium of a pendulum of variable length”
J. Appl. Math. Mech. 73 (2009) 642-647]
Contents of next issue
VOLUME 74 NUMBER 3
CONTENTS
V.A. SADOVNICHII and R.I. NIGMATULIN: Samvel Samvelovich Grigoryan (On his Eightieth Birthday)
A.V. GAVRILOV and I.V. SHIRKO: Fluid flow in an inhomogeneous granular medium
V.G. BAZHENOV and V.L. KOTOV: Solution of problems of oblique penetration of axisymmetric projectiles into soft soil
CRSIST CONT TEMG SIPC HOTA TIO a oiso ias.o sv cicibdn hinds Scenes wees paren tw ce nek ok ew misao ay aa onveme noe aee eaves
D.D. ZAKHAROV: Effective high-order approximations of layered coatings and linings of anisotropic elastic, viscoelastic
and nematic materials
YE.V. GLUSHKOV, N.V. GLUSHKOVA and A.S. KRIVONOS: The excitation and propagation ofe lastic waves in multilayered
anisotropic composites
M.G. ASRATYAN and R.S. GEVORGYAN: Mixed boundary-value problems of thermoelasticity for anisotropic-in-plan
inhomogeneous toroidal shells
S.A. NAZAROV, G.H. SWEERS and A.S. SLUTSKII: The flexural rigidity of a thin plate reinforced with periodic systems of
separated rods
N.A. BAZARENKO: Interaction of a hollow cylinder of finite length and a plate with a cylindrical cavity with a rigid
insert
N.V. BANICHUK: Optimization of the contact pressure in the problem of the interaction of a punch and an elastic
medium
A.A. ROGOVO! and O.S. STOLBOVA: Stress recovery procedure for solving boundary value problems in the mechanics of
a deformable solid by the finite element method
A.l. GLUSHKO and I.l. NESHCHERETOV: A model of elastoplastic reinforcing media with a tensor damageability
parameter
M.L. ROMANOVSKAYA, I.P. SEMENOVA and L.N. SLEZKIN: Dynamically equilibrium shapes and directions of motion of
co Ct ha <a ee ena pean Se Sener anne Re ANAS ra se EE Oe Ley ORION Ane
The Tenth All-Russian Congress on Fundamental Problems of Theoretical and Applied Mechanics
Contents of next issue
VOLUME 74 NUMBER 4
CONTENTS
Announcement
A.V. KARAPETYAN: Modelling of frictional forces in the dynamics of a sphere on a plane
A.A. ZEVIN: The necessary and sufficient conditions for the stability of linear systems with an arbitrary delay
D.A. KULIKOV: Self-similar cycles and their local bifurcations in the problem of two weakly coupled oscillators
S.A. AGAFONOV: The stability and stabilization of the motion of non-conservative mechanical systems
N.I. AMEL’KIN: Analysis of the stability of the equilibria of a satellite carrying a two-degree-of-freedom powered
gyroscope with dissipation in the axis of the frame
V.S. ASLANOV: The effect of the elasticity of an orbital tether system on the oscillations of a satellite
A.A. BUROV, A.D. GUERMAN and R.S. SULIKASHVILI: The orbital motion of a tetrahedral gyrostat
YU. G. MARTYNENKO: Stability of steady motions of a mobile robot with roller-carrying wheels and a displaced centre
A.G. YEGOROV and O.S. ZAKHAROVA: The energy-optimal motion of a vibration-driven robot in a resistive medium ...
D.V. GEORGIYEVSKII: New estimates of the stability of one-dimensional plane-parallel flows ofa viscous incompressible
N.V. LARIN and L.A. TOLOKONNIKOV: Scattering of sound by an inhomogeneous thermoelastic spherical layer
S.A. BOCHKAREV and V.P. MATVEYENKO: The dynamic behaviour of elastic coaxial cylindrical shells conveying fluid
N.A. BAZARENKO: Interaction of a rigid punch with a base-secured elastic rectangle with stress-free sides
A.A. MOLCHANOV and D.A. POZHARSKII: The interaction of punches on the face of an elastic wedge
O.V. BONITSKAYA, R.V. KRASAVIN and A.A. MARKIN: The steady axisymmetric flow of ideally plastic materials in a
conical channel
The Tenth All-Russian Congress on Fundamental Problems of Theoretical and Applied Mechanics
Contents of next issue
VOLUME 74 NUMBER 5
CONTENTS
V.V. KOZLOV: On the variational principles of mechanics
N.I. AMEL’KIN: The equilibria and stability of a dynamically symmetrical satellite with a two-degree-of-freedom
powered gyroscope
V.S. ASLANOV and A.V. DOROSHIN: Chaotic dynamics of an unbalanced gyrostat
S.G. KRYZHEVICH: Chaotic modes of systems described by the Liénard equations with a large period of the right-hand
side and impact conditions
A.YU. ALEKSANDROV and A.A. KOSOV: The stability and stabilization of non-linear, non-stationary mechanical systems
O.V. KHOLOSTOVA: Non-linear oscillations of a Hamiltonian system with two degrees of freedom with 2:1
resonance
V.N. TKHAI: The period on a family of non-linear oscillations and periodic motions of a perturbed system at a critical
point of the family
YE.I. KUGUSHEV and S.V. PRYAZHKINA: Reverse motions of mechanical systems
YE.A. KOLPAKOVA and N.N. SUBBOTINA: Numerical solution of optimization problems in vibrational mechanics using
the characteristics method
V.I. MATYUKHIN: The bringing of two rigid bodies into collision-free contact by bounded controls in a finite time
L.A. MANITA: Optimal singular and chattering modes in the problem of controlling the vibrations of a string with
clamped ends
D.P. KOUZOV and G.V. FILIPPENKO: Vibrations of an elastic plate partially immersed in a liquid
Contents of next issue
VOLUME 74 NUMBER 6
CONTENTS
The Scientific Legacy of Academician losif Izrailevich Vorovich (On the 90th Anniversary of his Birth)
V.A. BABESHKO, O.M. BABESHKO and O.V. YEVDOKIMOVA: The oscillations of layered elastic media with a wavy
boundary
T.l. BELYANKOVA, V.V. KALINCHUK and V.A. LYZHOV: A coupled mixed problem for a system of electrodes on the
surface of a prestressed electroelastic structurally inhomogeneous half-space
A.O. VATUL’YAN: The theory of inverse problems in the linear mechanics of a deformable solid
1.P. GETMAN, M.I. KARYAKIN and YU.A. USTINOV: Analysis of the non-linear behaviour of circular membranes with an
arbitrary radial profile
L.M. ZUBOV: The linear theory of dislocations and disclinations in elastic shells
YE.M. KOLOSOVA and M.I. CHEBAKOV: The contact problem for a two-layer spherical base
V.V. SIL’VESTROV and A.V. SMIRNOV: The Prandtl integrodifferential equation and the contact problem for a piecewise
homogeneous plate
V.M. ALEKSANDROV and D.A. POZHARSKII: Three-dimensional contact problems with friction for a composite elastic
N.A. BAZARENKO: The contact problem for a circular plate with a stress-free end face
A.A. ROGOVOI AND O.S. STOLBOVA: A stress recovery procedure for solving geometrically non-linear problems in the
mechanics of a deformable solid by the finite element method
N.N. ROGACHEVA: Asymmetrically laminated piezoelectric bars
V.F. KOSHELEV and A.M. LIN’KOV: Numerical modelling of regular structures with randomly perturbed structural
elements
L.A. KOSTYREVA: A longitudinal crack in a prestressed physically non-linear elastic layer with free boundaries
Contents of next issue
Volume Contents
Author Index

AUTHOR INDEX
Agafonov, S.A. 401 Krivonos, A.S. 297
Aizikovich$.,M . 23 2 Kryzhevich, $.G. 536
Akulenko, L.D. 253 Kugushev, Ye.l. 587
Aleksandrov, A.Yu. 553 Kulikov, D.A. 389
Aleksandrov, V.M. 692 KulikovskiiA,.G . 127
Amel’kin, N.I. 406, 513
Anan’ evskii, 1.M. 95 Larin, N.V. 460
Aslanov, V.S. 416, 524 Leonov, G.A. 24, 135
Asratyan, M.G. 306 Lin’kov, A.M. 223, 735
Lyzhov, V.A. 637
Babeshko, O.M. 633
Babeshko, V.A. 633 Manita, L.A. 611
Baikov, A.E. 51 Markin, A.A. 494
Banichuk, N.V. 334 Martynenko, Yu.G. 436
Bazarenko, N.A. 323, 475, 699 Matveyenko, V.P. 467
Bazhenov, V.G. 278 Matyukhin, V.I. 599
Belyankova, T.l. 637 Melikyan, A.A. 144
Bereslavskii, E.N. 171 MikhailovskiYie,. l. 214
Bochkarev, S.A. 467 Molchanov, A.A. 486
Bonitskaya, O.V. 494
Nazarov, S.A. 313
Burov, A.A. 68, 425
Neshcheretov, I.1. 349
Chebakov, M.I. 673 Nesterov, S.V. 253
Chernous’ko, F.L. 13 Nigmatulin, R.Il. 255
Chigarev, A.V. 198 Novikov, M.A. 164
Dolgikh, D.V. 204 Pashchenko, N.T. 127
Doroshin, A.V. 524 Pergament, A.Kh. 188
Polenov, V.S. 198
Filippenko, G.V. 617 Popov, G.Ya. 241
Pozharskii, D.A. 486, 692
Gavrilov, A.V. 267 Pryazhkina, S.V. 587
Georgiyevskii, D.V. 452
Getman, I.P. 654 Reshmin, S.A. 108
Gevorgyan, R.S. 306 Rogacheva, N.N. 721
GlushkoA,.I . 349 Rogovoi, A.A. 341, 710
Glushkov, Ye.V. 297 Romanovskaya, M.L. 365
Glushkova, N.V. 297 Rusanov, V.A. 84
Guerman, A.D. 425
Sadovnichii, V.A. 255
Ishkhanyan, M.V. 154 Semenova, I.P. 365
Ivanov, A.P. 61 Sharpinskti, D.Yu. 84
Shirko, LV. 267
Kalinchuk, V.V. 637 Shmatkov, A.M. 122
Karapetyan, A.V. 380 Shunderyuk, M.M. 13
Karyakin, M.]. 654
Sil'vestrov, V.V. 679
Kholostova, 0.V. 563 Slezkin, L.N. 365
Kiselev, V.V. 204 Slutskii, A.S. 313
Kolosova, Ye.M. 673 Smirnov, A.V. 679
Kolpakova, Ye.A. 593
Sobol’, B.V. 232
Koshelev, V.F. 735 SosnitskiiS,. P. 76
Kosov, A.A. 553 Stolbova, O.S. 341, 710
Kostyreva, L.A. 745 Subbotina, N.N. 593
Kotov, V.L. 278 Sulikashvili, R.S. 425
Kouzov, D.P. 617 Sweers, G.H. 313
Kozlov, V.V. 10,505
Krasavin, R.V. 494 Teodorovich, E.V. 181
Krasil’nikov, P.S. 51 Tkhai, V.N. 158,579
Krenev, L.I. 232 Tolokonnikov, L.A. 460
doi: 10.1016/S0021-8928( 11 }00025-6
Vill
Trubchik, LS. 232 Yegorov, A.G. 443
Tsvelodub, l.Yu. 249 Yevdokimova, 0.V. 633
TulubenskayYau.,V . 214
Zakharov, D.D. 286
Ul’kin, D.A. 188 Zakharova, O.S. 443
Ustinov, Yu.A. 654 Zevin, A.A. 384
Zimovshikov, A.S. 158
Vaisfel’d, N.D. 241
Zubov, L.M. 663
Vatul’yan, A.O. 648