Journal of Applied Mathematics and Mechanics 2011: Vol 75 Index & Table of Contents

2011·1.9 MB·English

JOURNAL OF
APPLIED MATHEMATICS AND MECHANICS
PRIKLADNAYA MATEMATIKA | MEKHANIKA
LIST OF CONTENTS AND AUTHOR INDEX
VOLUME 75, 2011
ELSEVIER
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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, P. SHELNITZ, E. L. SHORT
PRIKLADNAYA MATEMATIKA I MEKHANIKA
Russian Academy of Sciences
Editorial Board
F. L. CHERNOUS’KO (Editor-in-Chief)
Yu. P. GUPALO (Deputy Editor)
G. G. CHERNYI A. G. KULIKOVSKII
I. G. GORYACHEVA N. F. MOROZOV
S. S. GRIGORYAN Yu. S. OSIPOV
A. V. KARAPETYAN L. V. OVSYANNIKOV
V. V. KOZLOV G. A. TIRSKII
N. N. KRASOVSKII V. F. ZHURAVLEV
Editorial Advisory Board
L. D. AKULENKO A. P. MARKEYEV
V. M. ALEKSANDROV B. E. POBEDRYA
S. A. AMBARTSUMYAN G. Ya. POPOV
1. 1. BLEKHMAN V. V. PUKHNACHEV
N. N. BOLOTNIK N. N. ROGACHEVA
R. V. GOL’DSHTEIN S. Ya. STEPANOV
A. P. IVANOV V. V. SYCHEV
D. D. IVLEV V. N. TKHAI
A. N. KRAIKO
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VOLUME CONTENTS
VOLUME 75 2011 NUMBER 1
CONTENTS
Aleksei Antonovich Il’yushin on the 100th anniversary of his birth
R.A. VASIN and P.A. MOSSAKOVSKII: A version of the relations for the damage tensor of an elastoplastic medium ....
1.A. KIIKO: On the shape of a plastic layer compressed by parallel planes
A.G. KULIKOVSKII and E.]. SVESHNIKOVA: Near-resonace transverse oscillations in an elastic layer. Steady-state
solutions
V.I. KONDAUROV and A.V. KONYUKHOV: A model of incomplete phase transitions of gas hydrates in a porous
medium
L.B. MASLOV: A parametric investigation of the harmonic vibrations of a poroelastic rod
V.N. PAIMUSHIN and T.V. POLYAKOVA: The small free oscillations of a strip
YE.V. GLUSHKOV, N.V. GLUSHKOVA, W. SEEMANN and 0.V. KVASHA: The excitation of waves by piezoelectric patch
actuators arranged symmetrically on both surfaces of an elastic layer
YU.A. DEM’YANOV and A.A. MALASHIN: The effect of stiffness on the transverse and longitudinal motions of a
musical string. Commemorating the 100th anniversary of the birth of Kh.A. Rakhmatulin
A.A. MALASHIN: Waves and vibrations in strings with windings. Commemorating the 100th anniversary of the birth
of Kh.A. Rakhmatulin
A.A. BITYURIN: The loss of stability of a two-step rod when it hits a rigid barrier
N.F. MOROZOV and P.YE. TOVSTIK: Bending of a two-layer beam with non-rigid contact between the layers
].A. SOLDATENKOV: The contact problem for an elastic strip and a wavy punch when there is friction and wear....
R.D. BANTSURI and N.N. SHAVLAKADZE: The contact problem for a piecewise-homogeneous plane with a finite
inclusion
M.N. PEREL’MUTER: An interface crack with non-linear bonds in a bridged zone
Vladimir Ignat’evich Kondaurov 8 March 1947—27 October 2010
Contents of next issue
VOLUME 75 NUMBER 2
CONTENTS
YU.F. GOLUBEV: The papers of M.V. Keldysh in the field of mechanics and applied mathematics (On the centenary of
his birth)
A.P. MARKEYEV: The equations of the approximate theory of the motion of a rigid body with a vibrating suspension
N.I. AMEL’KIN: The asymptotic properties of the motions of satellites in a central field due to internal dissipation ..
V.P. LEGOSTAYEV, A.V. SUBBOTIN, S.N. TIMAKOV and YE.A. CHEREMNYKH: Normal modes of oscillations of a rotating
membrane with a rigid central insert (an application of Heun functions)
A.S. SUMBATOV: The steady motions of a three-body system in weightlessness conditions
A.P. BLINOV: The motion of a point mass on the surface of a smooth funnel
G.M. ROZENBLAT: The motion of a body supported at three points on a rough plane
V.V. MAZALOV and A.N. RETTIYEVA: The discrete-time bioresource sharing model
1.B. BAKHOLDIN: Time-invariant and time-varying discontinuity structures for models described by the generalized
Korteweg-Burgers equation
E.N. BERESLAVSKII: The flow of ground waters around a Zhukovskii sheet pile
KH.F. VALIYEV and A.N. KRAIKO: Cylindrically and spherically symmetrical rapid intense compression of an ideal
perfect gas with adiabatic exponents from 1.001 to 3
doi:10.1016/S0021-8928(12)00023-8
L.G. KURAKIN: The stability of the steady rotation of a system of three equidistant vortices outside a circle
S.A. NAZAROV: Trapped surface waves in a periodic layer of a heavy liquid
Contents of next issue
VOLUME 75 NUMBER 3
CONTENTS
N.I. AMEL’KIN: The properties of the steady motions of a body carrying a system of two-degree-of-freedom powered
gyroscopes
V.YU. OL’SHANSKII: The quadratic integrals of a complex mechanical system in a permanent uniform field
A.YE. BAIKGV: A limit cycle in a non-conservative sytem in 1:2 resonance
A.M. RUSINOVA: The dynamics of a disc on an inclined plane with friction in the dynamically consistent model of
friction
M. PASCAL: New events in stick-slip oscillators behaviour
A.S. POZNYAK, A.YE. POLYAKOV and V.V. STRYGIN: Analysis of finite-time convergence by the method of Lyapunov
functions in systems with second-order sliding modes
V.N. TKHAI: The law of the dependence of the period of non-linear oscillations on a single parameter
V.G. VIL’KE and G.V. GUSAK: A model of a reinforced tyre with a rod protector
A.M. KOVALEV: Invariance and asymptotic stability
L.D. AKULENKO: The quickest transfer of a spatial dynamic object into a circular domain
V.YA. DZHAFAROV and N.N. SUBBOTINA: The sufficient conditions for continuous e-optimal feedbacks in control
problems with a terminal cost
N.N. PETROV: The soft capture of inertial objects
A.A. CHESNOKOV: Properties and exact solutions of the equations of motion of shallow water in a spinning parabo-
A.N. BOGDANOV and V.N. DIYESPEROV: The stability of a transonic boundary layer on an elastic surface
L.A. EGOROVA: The stress-strain state and disintegration of a meteoroid moving through the atmosphere
S.A. AGAFONOV and D.V. GEORGIYEVSKII: The dependence of the jump in the critical foliower force for a viscoelastic
bar on the form of the non-linear internal viscosity
Seventh International Symposium on Classical and Celestial Mechanics (CCMECH-7, Moscow-Siedlce, 16-28 October
VOLUME 75 NUMBER 4
CONTENTS
Announcement
A.G. KULIKOVSKII: Multi-parameter fronts of strong discontinuities in continuum mechanics
V.G. BAIDULOV and YU.D. CHASHECHKIN: Invariant properties of systems of equations of the mechanics of inhomo-
Os ER GA ME eID Re Sc Re tee PPR Try oe Te Be ORME AT RIN ee A ny ee
E.N. BERESLAVSKII: Simulation of seepage flows from channels
K.G. GARAYEV and V.K. KUZNETSOV: An invariant variational problem of the laminar boundary layer
YU.N. GRIGOR’YEV and I.V. YERSHOV: The linear stability of inviscid shear flow of a vibrationally excited diatomic gas ...
P.YE. KARABUT and V.V. OSTAPENKO: The method of successive approximations for solving the problem of the decay
of a discontinuity and its application to the equations of two-layer shallow water theory
L.M. ZUBOV and A.N. RUDEV: A criterion for the strong ellipticity of the equilibrium equations of an isotropic
non-linearly elastic material
D.V. BEREZHNOI and V.N. PAIMUSHIN: Two formulations of elastoplastic problems and the theoretical determination
of the location of neck formation in samples under tension
A.V. VASILENKO and N.N. ROGACHEVA: The effective characteristics and electroelastic state of active composite
ER Sibi van Silene aunes wise diiaedembaieeaie dex Gants Gx mec boise as Sapa nee eeu Se een ae a era
V.M. ALEKSANDROV and V.YU. SALAMATOVA: The bending of a circular membrane on a linearly deformed
foundation
M.A. GREKOV: Two types of interface defects
1.YU. TSVELODUB: Addendum to the paper “The Eshelby tensor”, Prikl Mat Mekh 2010; 74(2): 346-51
A.O. BELYAKOV and A.P. SEYRANIAN: Comments on L.D. Akulenko and S.V. Nesterov’s paper “The stability of the
equilibrium of a pendulum of variabie length”, Prikl Mat Mekh 2009;73(6);893-901
Contents of next issue
VOLUME 75 NUMBER 5
CONTENTS
F.L. CHERNOUS’KO: Analysis and optimization of the rectilinear motion of a two-body system
A.P. MARKEYEV: A case of plane rotations of an elastic pendulum
A.L. KUNITSYN: The resonance stabilization of a class of unstable systems
A.V. KARAPETYAN and A.M. RUSINOVA: A qualitative analysis of the dynamics of a disc on an inclined plane with
friction
A.A. BUROV, A.D. GUERMAN and R.S. SULIKASHVILI: The steady motions of gyrostats with equal moments of inertia
in a central force field
A.N. SIROTIN: A family of analytic extremals in problems of the optimal control of the rotation of a body
L.D. AKULENKO: Time-optimal steering of an object moving in a viscous medium to a desired phase state
A.N. KRAIKO: Shock wave structure in an inviscid heat-conducting locally equilibrium medium of a perfect gas with
radiation
P.M. BELOTSERKOVSKII: Transient vibration of an infinite string bearing a concentrated mass and supported by
elastic-viscous suspensions
V.G. VIL’KE and D.S. MIGUNOVA: The motion of a ball on a grassy lawn
V.N. PAIMUSHIN: A theory of thin shells with finite displacements and deformations based on a modified
Kirchhoff-Love model
YE.A. LOPANITSYN and YE.A. MATVEYEV: The possibility of a theoretical confirmation of the experimental values of
the external critical pressure of thin-walled cylindrical shells
V.M. ALEKSANDROV and D.A. POZHARSKII: The three-dimensional problem of a thin inclusion in a composite
elastic wedge
A.G. ROMANOV and L.A. TOLOKONNIKOV: The scattering of acoustic waves by a cylinder with a non-uniform elastic
coating
L.A. AGHALOVYAN and R.S. GEVORGYAN: Asymptotic solutions of coupled dynamic problems of thermoelasticity for
thin bodies of anisotropic inhomogeneous-in-plan materials
K.A. AGAKHI, YU.G. BASALOV and V.N. KUZNETSOV: Non-linear constitutive relations for unstable materials
Contents of next issue
VOLUME 75
CONTENTS
V.V. KOZLOV: The equations of motion of a collisionless continuum
A.P. MARKEYEV: Non-linear oscillations of a 1:1 resonance Hamiltonian system
V.I. KALENOVA and V.M. MOROZOV: The reducibility of second-order linear time-varying homogeneous systems .. .
A.L. KUNITSYN: Resonant instability in multidimensional Lyapunov systems
A.P. BLINOV: The ellipsoidal pendulum
V.V. ANIKOVSKII and S.G. ZHURAVLEV: Euler’s problem and its applications in celestial mechanics and space dynamics .. .
V.I. MAKSIMOV: The tracking of the trajectory of a dynamical system
KH.F. VALIYEV and A.N. KRAIKO: Self-similar time-varying flows of an ideal gas with a change in the adiabatic
exponent in a “reflected” shock wave
V.N. PAIMUSHIN and N.V. POLYAKOVA: The stability of a ring under the action of a linear torque, constant along the
perimeter
G.V. KOSTIN and V.V. SAURIN: Modelling and analysis of the natural oscillations of a prismatic elastic beam based on
a projection approach
V.M. ALEKSANDROV: The integral equations of plane contact problems for high values of the parameter
YU.O. VASIL’EVA and V.V. SIL’VESTROV: The problem of an interface crack with a rigid patch plate on part of its edge ....
YE.M. RUDOI: An asymptotic form of the energy functional for an elastic body with a crack and a rigid inclusion.
The plane problem
Contents of next issue
Volume Contents
Author Index

AUTHOR INDEX
Agafonov, S.A. 367 Kurakin, L.G. 227
Agakhi, K.A. 612 Kuznetsov, V.K. 404
Aghalovyan, L.A. 601 Kuznetsov, V.N. 612
Akulenko, L.D. 323,534 Kvasha, O.V. 56
Aleksandrov, V.M. 472, 589, 711
Amel’kinN,.I . 140, 247 Legostayev. a is
Anikovskii, V.V. 660 Lopanitsyn, Ye.A. 580
Maksimov, V.I. 667
Baidulov, V.G. 390
Malashin, A.A. 65, 69
Baikov, A.Ye. 269
Markeyev, A.P. 132, 501, 631
Bakholdin, 1.B. 189
Maslov, L.B. 41
Bantsuri, R.D. 93
Matveyey, Ye.A. 580
Basalov, Yu.G. 612 Mazalov, V.V. 180
Belotserkovskii, P.M. 553 Migunova, D.S. 560
Belyakov, A.O. 491
Morozov, N.F. 77
Bereslavskii, E.N. 210, 398 Morozov, V.M. 647
Berezhnoi, D.V. 447 MossakovskiiP,.A . 5
Bityurin, A.A. 73
Blinov, A.P. 171, 655 Nazarov, S.A. 235
Bogdanov, A.N. 357 Ol’shanskii, V.Yu. 258
Burov, A.A. 517 Ostapenko, V.V. 419
Chashechkin, Yu.D. 390 Paimushin, V.N. 49, 447, 568, 691
Cheremnykh, Ye.A. 154 Pascal,M . 283
Chernous’ko, F.L. 493 Perel’muter, M.N. 106
Chesnokov, A.A. 350 Petrov, N.N. 343
Polyakov, A.Ye. 289
Dem’yanov, Yu.A. 65 Polyakova, N.V. 691
Diyesperov, V.N. 357 PolyakovaT.,V . 49
Dzhafarov, V.Ya. 334
Pozharskii, D.A. 589
Egorova, L.A. 363 eae dinireia lines
Garayev, K.G. 404 RettiyevaA.,N . 180
GeorgiyevskiiD.,V . 367 RogachevaN,.N . 463
Gevorgyan, R.S. 601 Romanov, A.G. 595
Glushkov, Ye.V. 56 Rozenblat, G.M. 176
GlushkovaN.,V . 56 Rudev, A.N. 432
Golubev, Yu.F. 123 Rudoi, Ye.M. 731
Grekov, M.A. 476 Rusinova, A.M. 278, 511
Grigor’yev, Yu.N. 410
Guermar, A.D. 517 Salamatova, V.Yu. 472
Gusak, G.V. 308 Saurin, V.V. 700
Seemann,W . 56
KalenovaV,.1 . 647 SeyranianA,.P . 491
Karabut, P.Ye. 419 ShavlakadzeN.,N . 93
Karapetyan, A.V. 511 Sil’vestrov, V.V. 716
Kiiko, L.A. 10 Simonov, I.V. 98
Kondaurov, V.I. 27 Sirotin, AN. 522
Konyukhov, A.V. 27 Soldatenkov, I.A. 85
Kostin, G.V. 700 Strygin, V.V. 289
Kovalev, A.M. 317 SubbotinA,.V . 154
Kozlov, V.V. 619 Subbotina, N.N. 334
Kraiko, A.N. 218, 539, 675 Sulikashvili, R.S. 517
KulikovskiiA,.G . 19, 378 Sumbatov, A.S. 165
KunitsynA,.L . 508, 652 Sveshnikova, E.l. 19
doi: 10.1016/S0021-8928( 12 )00024-X
Vill
Timakov, S.N. 154 Vasilenko, A.V. 463
Tkhai, V.N. 304 Vasin, R.A. 5
Tolokonnikov, L.A. 595 Vil’ke, V.G. 308, 560
Tovstik, P.Ye. 77
Tsvelodub, I.Yu. 489 Yershov, I.V. 410
Valiyev, Kh.F. 218,675 Zhuravlev, S.G. 660
Vasil’eva, Yu.O. 716 Zubov, L.M. 432