Journal of Applied Mathematics and Mechanics 2009: Vol 73 Index & Table of Contents

2009·2.3 MB·English

JOURNALOF
APPLIED MATHEMATICS AND MECHANICS
PRIKLADNAYA MATEMATIKA I MEKHANIKA
LIST OF CONTENTS AND AUTHOR INDEX
VOLUME 73, 2009
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APPLIED MATHEMATICS AND MECHANICS
The Journal of Applied Mathematics and Mechanics is translated cover to cover
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90 Profsoyuznaya ul., Moscow 117864) and has been published by Pergamon since 1958.
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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. 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. |. 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
V. N. KOSHLYAKOV' V. N. TKHAI
A. N. KRAIKO
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VOLUME CONTENTS
VOLUME 73 2009 NUMBER 1
CONTENTS
A.S. ANDREYEV and R.B. ZAINETDINOV: Stabilization of the motions of mechanical systems with variable masses
A.A. ZOBOVA and YA.V. TATARINOV: The dynamics of an omni-mobile vehicle
M.V. LEVSKII: The problem of the time-optimal control of spacecraft reorientation
M.A. KOROTKII: The reconstruction of controls by regularization methods with uneven stabilizers
A.I. BLAGODATSKIKH: Simultaneous multiple capture in a simple pursuit problem
N.M. MINAZETDINOV: A hydrodynamic interpretation of a problem in the theory of the dimensional electrochemical
machining of metals
G.Z. SHARAFUTDINOV: Functions of a complex variable in problems in the theory of elasticity with mass forces
YE.A. SHIROKOVA: The interpolation solution of the second basic plane problem of the dynamics of elastic solids
S.V. KUZNETSOV: Soliton-like lamb waves
P.YE. TOVSTIK: The vibrations and stability of a prestressed plate on an elastic foundation
V.I. KONDAUROV: A non-equilibrium model of a porous medium saturated with immiscible fluids
V.M. ALEKSANDROV and D.A. POZHARSKII: Problems of cuts in a composite elastic wedge
F.L. CHERNOUS’KO, A.V. MANZHIROV and I.V. SIMONOV: Results of the XXII International Congress of Theoretical and
Applied Mechanics
Letter to the editor
VOLUME 73 NUMBER 2
CONTENTS
L.D. AKULENKO and A.S. KOVALEVA: Estimation of the time a perturbed Lagrangian system stays in an assigned
region
O.A. PEREGUDOVA: Stabilization of the motions of non-autonomous mechanical systems
A.P. IVANOV: A dynamically consistent model of the contact stresses in the plane motion of a rigid body
G.M. ROZENBLAT: The equilibrium of a rigid body on a plane with anisotropic dry friction
A.V. BORISOV and I.S. MAMAYEV: The dynamics of a Chaplygin sleigh
A.A. BITYURIN and V.K. MANZHOSOV: Waves induced by the longitudinal impact of a rod against a stepped rod in con-
tact with a rigid barrier
N.I. AMEL’KIN: The steady motions of a satellite with a two-degree-of-freedom powered gyroscope in a central
gravitational field and their stability
V.S. ASLANOV: Spatial chaotic vibrations when there is a periodic change in the position of the centre of mass of a body
in the atmosphere
O.R. KOZYREV, S.N. REZNIK and YU. A. STEPANYANTS: The motion of a cylindrical body in a stratified fluid under the
action of a radiation force
A.N. KULIKOV: Bifurcation of the self-excited oscillations of a plate with slight damping in a supersonic gas flow
YE.A. GERASIMENKO, A.V. ZAVERTAN and V. YE. RAGOZINA: The use of near-front ray expansions in deformation
dynamics
T.l. BELYANKOVA and V.V. KALINCHUK: The dynamic contact problem for a prestressed cylindrical tube filled with a
V.N. PAIMUSHIN and N.V. POLYAKOVA: The consistent equations of the theory of plane curvilinear rods for finite
displacements and linearized problems of stability
YE.I. SHIFRIN: The relation between invariant integrals of the linear isotropic theory of elasticity and integrals defined by the
duality principle
Contents of next issue
doi:10.1016/S0021-8928( 10)00028-6
VOLUME 73 2009 NUMBER 3
CONTENTS
V.V. PUKHNACHEV: Lev Vasil’evich Ovsyannikov (on his 90th birthday) 245
B.S. BARDIN and A.M. CHEKIN: Non-linear oscillations of a Hamiltonian system in the case of 3:1 resonance .......... 249
M.Z. DOSAEV, CHING-HUEI LIN, WEN-LUNG LU, V.A. SAMSONOV and YU. D. SELYUTSKII: A qualitative analysis of the
steady modes of operation of small wind power generatOls ........... cece cece cee cc cece cence cette eeteeeeeeeees 259
O.N. GONCHAROVA: The modelling of microconvection in an infinite strip ....c.ece. ccc. ccc. cee. cec.e ee.e ee .ee ee ee 264
S.M. ZEN’KOVSKAYA and V.A. NOVOSYADLY!I: The effect of a high-frequency progressive vibration on the convective
se es sca veuk » ose Kae aRee FON WEN SShE Rao hOde aEee A me Oe cee es Cala en 6 a 271
KH.F. VALIYEV: The reflection of a shock wave from a centre or axis of symmetry at adiabatic exponents from 1.2 to3 .... 281
N.B. IL’INSKII, D.V. MAKLAKOV and R.F. MARDANOV: Interaction of a free stream and a flow from a point source with
nn 5 wake ad RA ALEKS MEET oe daw wee Ob Ok Kele S490 tae bynes bes ae koe Re ae Okeke 290
N.K. AKHMEDOV and YU. A. USTINOV: Analysis of the structure of the boundary layer in the problem of the torsion of a
i ee, RSS os 5h ds oR bd ath 4 eK beRs wae eee VER seekers e ut eekNN Sai iab ss 296
A.I. MUNITSYN: The non-linear oscillations of a rod with close values of the cross-section axial moments of inertia.... 304
A.A. DOBROSKOK and A.M. LIN’KOV: Complex variable equations and the numerical solution of harmonic problems for
ee i a CAs aii babs bind ous vg ROR NERA SoA E ind nd ke emda chee mentanens 313
G.V. KOSTIN and V.V. SAURIN: The method of integrodifferential relations for analysing the natural oscillations of
membranes Dieta ales ade ae te apaae hate AAI ED UR OG Oe VELA RHS as: 0s v6 u 0a SERS ME CMDR e Reha ehNReE Renee esb abar 326
N.V. LARIN and L.A. TOLOKONNIKOV: Diffraction of a plane acoustic wave by a non-uniform thermoelastic cylindrical
es a ee ccc d tennis vednsehevursvedrbeckte dbereeta eunveteatawneewsesedbe ’ 336
A. SCALIA: Harmonic oscillations of a rigid punch on a porous elastic layer ....0.... cec.e ce.ce ce.ce e.ee ee.ecee.seee es 344
A.S. KRAVCHUK: The variational method in contact problems. The present state of the problem and trends in its
aa i li gO rN a 5 i wg da ehh nh oiadlb ag RMA As 6 KAREN EERE ae aio RaN 351
A. KH. GELIG and A.N. CHURILOV: Instability conditions for a non-linear discrete system in the critical case of two unit
satel inns aad alee vn og Rast REE ean Wn ae na ed Sele Wn 9 dh nia ena eae s sewrn Ke eS 2 ak Pee ed PUEEE «8 358
G.V. KOSTIN: Results of the International Conference on the Control of Dynamical Systems (Moscow, 26-30 January
I chore Lee ad oes « Gian alg eGeea a eREk GERSAAS CANES ShbONE bd be bas Rien EON Ke 06nd saa REN «0 361
Arik Artavazdovich Melikyan (5 October 1944-6 April 2009). ........... ccc ccc cece ee ee cc eeeeeeeueenes 364
Contents of next issue aidan decit dee a ed AEE Cis ny ee eUs x deh ak OF LEDER Cada Pe A a Weed een eee eat 366
VOLUME 73 2009 NUMBER 4
CONTENTS
I A oe eT rg ee nak be ee ane Fb i dee RS See eis cdweckKeekecsnebWasserseos iil
ee: Oe de vis pe SbndWbeutcn@ nee ee saueseéswetns descwcevcaves 367
ee ON a basin veeeen oem eviccecnccuecesseevecnuess¥esduaces 371
V.D. IRTEGOV and T.N. TITORENKO: The invariant manifolds of systems with first integrals .................c0ceeeeees 379
a ee Ss sk iu Cals e bad hee s0ds ev aneusa eves ob beeveteceswsicucweces 385
N.N. VERICHEV, S.N. VERICHEV and V.I. YEROFEYEV: The dynamics of a “flexible-rotor/limited-power-excitation-source”
ES Se UR eee rac le cant teen eae sak daw uk CSL RTL G aw ae Maen bob ane cake bac dees 0 teow beah cubacen 395
S.A. RESHMIN: Bifurcation in a time-optimal problem for a second-order non-linear systeM .............ecceeeeeeeee 403
S.A. GANEBNYI, S.S. KUMKOV and V.S. PATSKO: Extremal aiming in problems with an unknown level of dynamic
disturbance Ce Cd dG Si cabo ae he Wa + acne PULA CAmtn de 6 be dose mee oo 4 caked Ae CEN EG ea Cone beck we beedbeness 411
YU.A. CHIRKUNOV: The conservation laws and group properties of the equations of gas dynamics with zero velocity of
I ihe eee a es it Oe Nk Sut She Se a a Ss Jas « dhive eu eee mua inhameavioes 421
E.N. BERESLAVSKII: The design of the iso-velocity contour for the flow past the base of a dam with a confining bed.... 426
1.B. BADRIYEV, O.A. ZADVORNOV, L.N. ISMAGILOV and E.V. SKVORTSOV: Solution of plane seepage problems for a
multivalued seepage law when there is a POiINt SOUICE ....... 2... cece ccc cc cccccccccccccccccccccccscccccccceeces 434
R.M. KHAFIZOV, I.G. KHUSAINOV and V.SH. SHAGAPOV: Dynamics of the pressure relaxation in a “depressurized”
I ee at ee ER LOG Tuas Seu ek seT ae 4 bk wild VW Oe ue v SO eRe Bie bas dade bade b Pbmceunseeial couse 443
YE.V. GLUSHKOV, N.V. GLUSHKOVA, A.A. YEREMIN and V.V. MIKHAS’KIV: The layered element method in the dynamic
theory of elasticity
A.A. LUK’YANOV and V.B. PEN’KOV: The propagation of shock waves in anisotropic materials
I.V. KAMOTSKII and A.P. KISELEV: An energy approach to the proof of the existence of Rayleigh waves in an anisotropic
elastic half-space
R.D. BANTSURI and N.N. SHAVLAKADZE: The contact problem for a piecewise-homogeneous plane with a semi-infinite
inclusion
A.A. BURENIN, L.V. KOVTANYUK and A.V. LUSHPEI: The transient retardation of a rectilinear viscoplastic flow when the
loading stresses are abruptly removed
Contents of next issue
VOLUME 73 NUMBER 5
CONTENTS
GRIGORII ALEKSANDROVICH TIRSKIY: (On the occasion of his eightieth birthday)
G.A. TIRSKIY: Generalized viscous shock layer equations with slip conditions on a surface in a flow field and on a head
I.G. BRYKINA, B.V. ROGOV and G.A. TIRSKIY: The applicability of continuum models in the transitional regime of hyper-
sonic flow over blunt bodies
V.I. LAPYGIN and G.YE. YAKUNINA: The shapes of bodies with maximum lift-to-drag ratio in supersonic flow
S.V. KHABIROV: Self-similar convergence of a shock wave in a heat conducting gas
YE.A. KARABUT: The exact solution of a non-linear boundary-value problem of the theory of waves on the surface of a
liquid of finite depth
YE.V. VISITSKII, A.G. PETROV and M.M. SHUNDERYUK: The motion of a particle in a viscous fluid under gravity, vibration
and Basset’s force
A.YU. VASIL’EV and YU.D. CHASHECHKIN: Damping of the free oscillations of a neutral buoyancy sphere in a viscous
Stratified fluid
V.I. KAREV and K.B. USTINOV: Seepage of a gas condensate mixture when using the geoloosening method
M.M. ALIMOV: An asymptotic analysis of the steady process of saturation of a laminated porous material
O.R. NURISLAMOV and V.SH. SHAGAPOV: Gas injection into a moist porous medium with the formation of a gas hydrate
N.M. MINAZETDINOV: A scheme for the electrochemical machining of metals by a cathode tool with a curvilinear part
of the boundary
P.A. BELOV and S.A. LURIE: A continuum model of microheterogeneous media
L.A. AGHALOVYAN and R.S. GEVORGYAN: Mixed boundary-value problems in the theory of elasticity of thin laminated
bodies of variable thickness consisting of anisotropic inhomogeneous materials
M.YU. IVOCHKIN: The necessary conditions for the existence of an additional integral in the problem of the motion of a
heavy ellipsoid on a smooth horizontal plane
Contents of next issue
VOLUME 73 NUMBER 6
CONTENTS
A.A. ZOBOVA and A.V. KARAPETYAN: Analysis of the steady motions of the tippe top
I.L. ANTONOV: The influence of the inertial properties of the parts of gimbals on the dynamics of a rigid body
A.L. KUNITSYN: Construction of stability regions in the three-body problem using parameter elimination
L.D. AKULENKO and S.V. NESTEROV: The stability of the equilibrium of a pendulum of variable length
A.P. YEVDOKIMENKO: Stability and branching of the relative equilibria of a three-link pendulum in a rapidly rotating
frame of reference
V.G. ADAMYAN, L.V. ADAMYAN, G.M. ZAIMTSYAN and L.T. MANANDYAN: Double-pulse cotangential transfers between
coplanar elliptic orbits
G.V. KOSTIN and V.V. SAURIN: Variational approaches to solving initial-boundary-value problems in the dynamics of
linear elastic systems
S.V. BOSAKOV: Eigenfrequencies and modified eigenmodes of a rectangular plate with free edges
V.A. BUZHINSKII: The equations of the perturbed motion of a rocket as a thin-walled structure with a liquid
N.V. BANICHUK and S.YU. IVANOVA: Shape optimization in contact problems of the theory of elasticity with incomplete
external loading data
V.M. ALEKSANDROV and L.A. KOSTYREVA: The plane contact problem for a prestressed incompressible elastic
K.M. ZINGERMAN and V.A. LEVIN: Redistribution of finite elastic strains after the formation of inclusions. Approximate
analytical solution
I.A. KIIKO: The compression of a thin strip of material in a superplasticity state
L.V. KOVALENKO, N.N. POPOV and V.P. RADCHENKO: Solution of the plane stochastic creep boundary value
problem
1.1. ARGATOV: Averaging of a finely laminated elastic medium with roughness or adhesion on the contact surfaces of the
S.S. GRIGORYAN: The evolution of the mass of a “preserved” chemical spill as it moves with the river current
Call for papers
Contents of next issue
Volume contents
Author index
AUTHOR INDEX
Adamyan, L.V. 664 Karev, V.I. 566
Adamyan, V.G. 664 Khabirov, S.V. 524
Aghalovyan, L.A. 609 Khafizov, R.M. 443
Akhmedov, N.K. 296 Khusainov, I.G. 443
Akulenko, L.D. 115, 371, 642 Kiiko, LA. 722
Aleksandrov, V.M. 103, 705 Kiselev, A.P. 464
Alimov, M.M. 574 Kondaurov, V.I. 88
Amel’kin, N.I. 169 Korotkii, M.A. 26
Andreyev, A.S. 1 Kostin, G.V. 326, 361, 673
Antonov, I.L. 631 Kostyreva, L.A. 705
Argatov, I.l. 734 Kovalenko, L.V. 727
Aslanov, V.S. 179 Kovaleva, A.S. 115
Kovtanyuk, L.V. 478
Badriyey|,.B . 434 Kozyrev, O.R. 188
Banichuk, N.V. 696 Kravchuk, A.S. 351
Bantsuri, R.D. 471 Kulikov, A.N. 196
Bardin, B.S. 249 Kumkov, S.S. 411
Belov, P.A. 599 Kunitsyn, A.L. 637
BelyankovaT,. I. 209 Kuznetsov, S.V. 71
Bereslavskii, EN. 426
BityurinA,.A . 162 Lapygin, V.I. 514
Blagodatskikh, A.l. 36 Larin, N.V. 336
Borisov, A.V. 156 Levin, V.A. 710
Bosakov, S.V. 688 Levskii, M.V. 16
Brykina, I.G. 502 Lin, Ch.-H. 259
Burenin, A.A. 478 Lin’kov, A.M. 313
Buzhinskii, V.A. 692 Lu, W.-L. 259
Luk’yanov, A.A. 457
ChashechkiYnu,.D . 558 Lurie, S.A. 599
Chekin, A.M. 249 Lushpei, A.V. 478
Chernous’ko, F.L. 109
Chirkunov, Yu.A. 421 Maklakov, D.V. 290
Churilov, A.N. 358 Mamayevy, I.S. 156
Manandyan, L.T. 664
Dobroskok, A.A. 313 Manzhirov, A.V. 109
Dosaev, M.Z. 259 Manzhosov, V.K. 162
Mardanov, R.F. 290
GanebnyiS,.A . 411 Mikhas’kiv, V.V. 449
Gelig, A.Kh. 358 Minazetdinov, N.M. 41, 592
Gerasimenko, Ye.A. 204 Munitsyn, A.I. 304
Gevorgyan, R.S. 609
Glushkov, Ye.V. 449 Nesterov, S.V. 642
Glushkova, N.V. 449 Novosyadlyi, V.A. 271
Goncharova, O.N. 264 Nurislamov, O.R. 581
Grigoryan, S.S. 747
Paimushin, V.N. 220
IVinskii, N.B. 290 Patsko, V.S. 411
Irtegov, V.D. 379 Pen’kov, V.B. 457
Ismagilov, L.N. 434 Peregudova, O.A. 124
Ivanov, A.P. 134 Petrov, A.G. 548
Ivanova, Yu.S. 696 Polyakova, N.V. 220
Ivochkin, M.Yu. 616 Popov, N.N. 727
Pozharskii, D.A. 103
Kalinchuk, V.V. 209 Pukhnachev, V.V. 245
Kamotskii, 1.V. 464
Karabut, Ye.A. 532 Radchenko, V.P. 727
KarapetyanA.,V . 367, 623 Ragozina, V.Ye. 204
doi: 10.1016/S0021-8928( 10)00029-8
Vill
Reshmin, S.A. 403 Ustinov, K.B. 566
Reznik, S.N. 188 Ustinov, Yu.A. 296
Rogov, B.V. 502
Rozenblat, G.M. 145 Valiyev, Kh.F. 281
Vasil’ev, A.Yu. 558
Samsonov, V.A. 259 Verichev, N.N. 395
Saurin, V.V. 326, 673 Verichev, S.N. 395
Scalia, A. 344 Vil’ke, V.G. 385
Selyutskii, Yu.D. 259 Visitskii, Ye.V. 548
Shagapov, V.Sh. 443, 581
Sharafutdinov, G.Z. 48 Yakunina, G.Ye. 514
ShavlakadzeN.,N . 471 Yeremin, A.A. 449
Shifrin, Ye.l. 237 Yerofeyev, V.I. 395
Shirokova, Ye.A. 63 Yevdokimenko, A.P. 648
Shunderyuk, M.M. 548
Simonoyv, I.V. 109 Zadvornov, O.A. 434
Skvortsov, E.V. 434 Zaimtsyan, G.M. 664
Stepanyants, Yu.A. 188 Zainetdinov, R.B. 1
Zavertan, A.V. 204
Tatarinov, Ya.V. 8 Zen’kovskaya, S.M. 271
Tirskiy, G.A. 491, 502 Zingerman, K.M. 710
Titorenko, T.N. 379 Zobova, A.A. 8, 623
Tolokonnikov, L.A. 336
Tovstik, P.Ye. 77