Journal of Applied Mathematics and Mechanics 2006: Vol 70 Index & Table of Contents

2006·1.1 MB·English

JOURNAL OF
APPLIED MATHEMATICS AND MECHANICS
PRIKLADNAYA MATEMATIKA I MEKHANIKA
LIST OF CONTENTS AND AUTHOR INDEX
VOLUME 70, 2006
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:
Protessor G. HERRMANN, Stanford University, CA, USA
R. C. GLASS, City University, London, UK
Panel of Translators:
P. CURTIS, R. C. GLASS, P. SHELNITZ, E. L. SHORT, E. TEQDOROVICH
PRIKLADNAYA MATEMATIKA I MEKHANIKA
Russian Academy of Sciences
Editorial Board
V. V. RUMYANTSEV (Editor-in-Chief)
Yu. P. GUPALO (Deputy Editor)
F. L.C HERNOUS’K O A. G. KULIKOVSKII
G. G. CHERNYI N. F.M OROZOV
I. G.G ORYACHEVA Yu. S. OSIPOV
S.S. GRIGORYAN L. V.O VSYANNIKOV
N. N. KRASOVSKII G. A. TIRSKII
Editorial Advisory Board
L. D. ARULENKO G. A. LYUBIMOV
V. M. ALEKSANDROV P. MARKEYEV
S. A. AMBARTSUMYAN M. MATROSOV
L. |. BLEKHMAN \. A.M ELIKYAN
V. V. BOLOTIN . E. POBEDRYA
R. V. GOL’ DSHTEIN 3. Ya. POPOV
\. PR IVANOV V. PUKHNACHEY
D. DL. IVLEV ». N. ROGACHEVA
\. V. KARAPETYAN S. Ya. STEPANOV
V. 1. KONDAUROV V. SYCHE\
V.N. KOSHLYAKOV N. TKHAI
V.V. KOZLOV . F. ZHURAVLEV
\. N. KRAIKO
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VOLUME CONTENTS
VOLUME 70 2006 NUMBER |
CONTENTS
S.A. AMBARTSUMYAN: Vasilii Zakharovich Vlasov On the Centenary of his Birth
1.V. GORELYSHEV and A.l. NEISHTADT: On the adiabatic perturbation theory for systems with impacts
T.V. POPOVA: The realization of unilateral constraints in mechanical systems with kinetic energy decay
T.V. SAL’NIKOVA: The stability of linear potential gyroscopic systems
\.S. KULESHOV: First integrals of the equations of motion of a symmetric gyrostat on a perfectly rough plane.
S.A. DOVBYSH: The splitting of separatrices, the branching of solutions and non-integrability in the problem of the
motion of a spherical pendulum with an oscillating suspension point.
\.M. FORMAL SKIL: An inverted pendulum on a fixed and a moving base
\.1. MUNITSYN: Three-dimensional non-linear oscillations of a rod with hinged supports
\.P. MALYSHEV: The longitudinal deformation of a rod in friction interaction with a compressing body
V.A. ANDRUSHCHENKO,. V.A. GOLOVESHKIN. V.V. ZUYEV and N.N. KHOLIN: Investigation of the behaviour of
a column beyond the elastic limit by methods of the technical theory of stability
V.N. PAIMUSHIN AND V.I. SHALASHILIN: Geometrically non-linear equations in the theory of momentless shells
with applications to problems on the non-classical forms of loss of stability of a cylinder
L.A. AGALOVYAN and L.G. GULGAZARYAN: Asymptotic solutions of non-classical boundary-value problems of the
natural vibrations of orthotropic shells
S.V. KUZNETSOV: Love waves in layered anisotropic media
V.M. ALEKSANDROV: Two problems with mixed boundary conditions for an elastic orthotropic strip
V.B. ZELENTSOV: The impact of a plane punch on an elastic half-plane
\.. GLUSHKO and LI NESHC HERETOV: A method for the approximate solution of quasi-static problems for hardening bodies
Contents of next issue
VOLUME 70 2006 NUMBER 2
CONTENTS
Vladimir Vasil yevich Bolotin (80th birthday tribute
\.P. MARKEYEV: Multiple parametric resonance in Hamilton systems
\.V. KARAPETYAN: Invariant sets in the Goryachev—Chaplygin problem: existence, stability and branching
A.N. SIROTIN: Analytical solutions in the problem of the optimal control of the rotation of an axisymmetric body
R.G. MUKHARLYAMOYV: Stabilization of the motions of mechanical systems in prescribed phase-space manifolds
LF. KOZHEVNIKOV: The vibrations of a free and loaded tyre
\.G. KULIKOVSKII: The global instability of ur uniform flows in nap entengaRS: r egions
O.V. VOINOV: Flows with quasi-equilibrium free boundaries in the dynamics of wetting of solids
V.V. RYNDINA: The recovery of the Brunt—Viaisila frequency using dispersion curves
8.Z. DUNIN, D.N. MIKHAILOV and V.N. NIKOLAYEVSKII: Longitudinal waves in partially saturated porous media:
the effect of gas bubbles
M.I. ZELIKIN and L.A. MANITA: Optimal chattering modes in the problem of the control of a Timoshenko beam
D.V. KUSHNIR and L.A. FIL’SHTINSKII: Harmonic and pulse excitations of multiply connected cylindrical bodies
K.V. AVRAMOV: A qualitative analysis of the subharmonic oscillations of a parametrically excited flexible rod
M.A. IL. GAMOV: The bending equations of sandwich plates with a prestressed filling
L.M. ZUBOV: The non-linear Saint-Venant problem of the torsion, stretching and bending of a neetlle twisted rod
L.A. KIIKO: Anisotropy in the flow processes of a thin plastic layer
Contents of next issue
do: 10. 10 16/S002 | -892810.0003 7| -7
VOLUME 70 2006 NUMBER 3
CONTENTS
Yu. F. GOLUBEV: A method for controlling the motion of a robot snakeboarder
E.K. LAVROVSKII and A.M. FORMAL’SKII: Control of the rolling of a wheel by changing its imbalance
M.M. ALIMOV: A general solution of the Hele-Shaw problem for flows in a channel
A.l. RYLOV: The topology of the zero-level lines of the components of the acceleration vector in subsonic flows
S.A. TAKOVITSKII: The construction of symmetric nose shapes of minimum wave drag... ..........0....0200005.
I.V. STUROVA: The effect of periodic surface pressure on a rectangular elastic plate floating on shallow water
A.V. MARCHENKO: A method of calculating ice loads when ice piles up on a fixed wall
N.G. RYABENKOV and R.F. FAIZULLINA: The common asymptotic nature of methods of solving problems of the
theory of elasticity for slabs and plates
L.D. AKULENKO and S.V. NESTEROV: The dependence of the natural frequencies of a one-dimensional elastic system
on its length
S.A. NAZAROV: A quasistatic model of the evolution of an interface inside a deformed solid
G.T. TARABRIN: An unloading wave in a medium with variable strain-wave velocities
A.A. BURENIN, L.V. KOVTANYUK and A.L. MAZELIS: The pressing of an elastoviscoplastic material between
rigid coaxial cylindrical surfaces
R.L. NEPERSHIN: The indentation of a spherical punch into an ideally plastic half-space when there is contact friction . . .
LV. SHIRKO: The limit equilibrium of an anisotropic medium under the general plasticity condition
G.P. YEZHOV and V.I1. KONDAUROV: Failure waves in a prestressed layer of porous material
V.M. ALEKSANDROV and D.A. POZHARSKII: Problems of a cut in a three-dimensional elastic wedge
Obituary: Dmitrii Yevgen’ yevich Okhotsimskii (26.2.1921—18.12.2005)
VOLUME 70 2006 NUMBER 4
CONTENTS
A.L. KUNITSYN and V.N. TKHAI: Stability in Lyapunov systems
L.D. AKULENKO, V.G. BAIDULOV and S.V. NESTEROV: Self-excited oscillations of a third-order system
O.V. KHOLOSTOVA: Resonant periodic motions of Hamiltonian systems with one degree of freedom when the Hamiltonian
is degenerate
O.R. KAYUMOYV: Parametric controllability of certain systems of rigid bodies
1.A. PASYNKOVA: Bifurcations of the precessional motion of an unbalanced rotor
V.G. VIL’ KE: The relative motion of the core and mantle of a planet in the gravitational field of a point mass. ....... .
D.D. ZAKHAROV: Surface and internal waves in a stratified layer of liquid and an analysis of the impedance boundary
I irs ss ace sed Ge wee AER E Rick ene OSs eh bed CREEL TA VC Ree Se RE Sek eMedia ENS uae WERT
S.N. GAVRILOV: The effective mass of a point mass moving along a string on a Winkler foundation
N.V. LARIN and L.A. TOLOKONNIKOV: The transmission of a plane acoustic wave through a non-uniform thermoelastic
layer
G.Ya. POPOV: The stress state of an elastic composite cone with centre of rotation at the apex. ....................
E.l. SVESHNIKOVA: Shock waves in an elastic medium with cubic anisotropy
1.1. AKGATOV: The solution of the Hertz axisymmetric contact problem
S.A. NAZAROV: Bifurcations of a plane crack front growing quasistatically in an elastic space
A.O. VATUL’ YAN and O.V. YAVRUYAN: An asymptotic approach in problems of crack identification
Ye.A. MITYUSHOV: Anisotropic tensor spaces and functions, the mean values of tensor quantities and the limiting
criteria
VOLUME 70 2006 NUMBER 5
CONTENTS
L.V. KAMNEVA: The conditions for a discontinuous function to be identical with the value function of a game in a
time-optimal problem
S.A. GANEBNYI, S.S. KUMKOV and V.S. PATSKO: Control design in problems with an unknown level of dynamic
disturbance
V.I. MAKSIMOV: Equations for the continuous estimation of the perturbations of dynamical systems...............
A.A. NEZNAKHIN: Construction of the viability kernel for a generalized dynamical system
S.V. CHAIKIN: Stabilization of the non-trivial relative equilibria of a gyrostat with an elastic element in a circular orbit . . . .
M.S. YEFREMOV, A. YE. POLYAKOV and V.V. STRYGIN: An algorithm for the active stabilization of a spacecraft with
viscoelastic elements under conditions of uncertainty
V.N. TKHAI: Periodic motions of a reversible second-order mechanical system. Application to the Sitnikov problem. . .
A.A. SEYRANIAN and A.P. SEYRANIAN: The stability of an inverted pendulum with a vibrating suspension point
A.I. OVSEYEVICH: The stability of an inverted pendulum when there are rapid random oscillations of the suspension
point
E.I. RYZHAK: A theorem of instability by linear approximation for a one-dimensional non-linearly elastic body
A.A. MOVCHAN and L.G. SIL°;CHENKO: The stability of a circular plate of shape memory alloy during a direct
martensite transformation
VOLUME 70 NUMBER 6
CONTENTS
The Seventieth Anniversary of the Journal
V.V. RUMYANTSEY: Variational principles for systems with unilateral constraints... 2.0.0.00 c.e0e. eee
F.L. CHERNOUS’KO: Analysis and optimization of the motion of a body controlled by means of a movable internal
| PPCELETEETERECL ELEC SCRE TE SE TT eee TT eee Te Tee eT Te TT ee eee eee eee ee ee ee
L.D. AKULENKO, N.N. BOLOTNIK, S.A. KUMAKSHEV and S.V. NESTEROV: Control of motion of an inhomogeneous
cylinder with internal movable masses along a horizontal plane
A.V. KARAPETYAN: Invariant sets in the Clebsch-Tisserand problem: Existence and stability
A.S. ANDREYEV and O.A. PEREGUDOVA: The comparison method in asymptotic stability problems. ............
V.N. TKHAI: First integrals and families of symmetric periodic motions of a reversible mechanical system
1.G. BRYKINA, B.V. ROGOV and G.A. TIRSKIY: Continuum models of rarefied gas flows in problems of hypersonic
aerothermodynamics
N.L. YEFREMOV. A.I. KRAIKO, K.S. P’-YANKOV and S.A. TAKOVITSKII: The construction of a nose shape of
M.A. GREKOV and N.F. MOROZOV: Equilibrium cracks in composites reinforced with unidirectional fibres ........
Contents of next issue
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AUTHOR INDEX
Agalovyan, L.A. 102 Kumakshev, S.A. 843
Akulenko, L.D. 408, 504, 843 Kumkov, S.S. 680
Aleksandrov, V.M. 128, 483 Kunitsyn, A.L. 497
Alimov, M.M. 346 Kushnir, D.V. 274
Ambartsumyan, S.A. | Kuznetsov, S.V. 116
Andreyev, A.S. 865
Andrushchenko, V.A. 84 Larin, N.V. 590
Argatoy, 1.1. 621 Lavrovskii, E.K. 334
Avramov, K.V. 284
Maksimov, V.1. 696
Baidulov, V.G. 504 Malyshev, A.P. 73
Bolotnik, N.N. 843 Manita, L.A. 264
Brykina, 1G. 888 Marchenko, A.V. 387
Burenin, A.A. 437 Markeyev, A.P. 176
Mazelis, A.L. 437
Chaikin, S.V. 715 Mikhailov, D.N. 251
Chernousk’o , F.L. 819 Mityushov, Ye.A. 657
Morozov, N.F. 945
Dovbysh, S.A. 42 Movchan, A.A. 785
Dunin, $.Z. 251 Mukharlyamov, R.G. 210
Munitsyn, A.1. 65
Faizullina, R.F. 399
Fil shtinskii, L.A. 274 Nazarov, S.A. 416, 636
Formal ’skii, A.M. 56, 334 Neishtadt, A.L. 4
Nepershin, R.1. 446
Ganebnyi, S.A. 680 Neshcheretovy, LI. 150
Gavrilov, S.N. 582 Nesterov, S.V. 408, 504, 843
Georgiyevskii, D.V. 796 Neznakhin, A.A. 706
Glushko, A.L. 150 Nikolayevskii, V.N. 251
Goloveshkin, V.A. 84
Golubev, Yu.F. 319 Ovseyevich, A.L. 762
Gorelyshey, L.V. 4
Goryachev, A.P. 934 Paimushin, V.N. 91
Goryacheva, 1.G. 934 Pasynkova, LA. 549
Grekov, M.A. 945 Patsko, V.S. 680
Gulgazaryan, L.G. 102 P’yankov, K.S. 912
Peregudova, O.A. 865
Il’ gamov, M.A. 292 Polyakov, A. Ye. 723
Popov, G.Ya. 599
Kamneva, L.V. 667 Popova, T.V. 18
Karapetyan, A.V. 195, 859 Pozharskii, D.A. 483
Kayumoy, O.R. 527
Kholin, N.N. 84 Rogov, B.V. 888
Kholostova, O.V. 516 Rumyantsev, V.V. 808
Kiiko, LA. 311 Ryabenkov, N.G. 399
Kondaurov, V.1. 469 Rylov, A.L. 361
Kovtanyuk, L.V. 437 Ryndina, V.V. 245
Kozhevnikoy, L.F. 223 Ryzhak, E.1. 769
Kraiko, A.l. 912
Kuleshov, A.S. 36 Sal nikova, T.V. 32
Kulikovskii, A.G. 229, 924 Seyranian, A.A. 754
dor: 10.1016/S002 | -8928(07 )00032-9
Seyranian, A.P. 754 Vatul’ yan, A.O. 647
»Shalashilin, V.1. 91 Vil’ke, V.G. 560
Shirko, I.V. 459 Voinov, O.V. 235
Sil’ chenko, L.G. 785
Sirotin, A.N. 199 Yavruyan, O.V. 647
Strygin, V.V. 723 Yefremov, M.S. 723
Sturova, LV. 378 Yefremov, N.L. 912
Sveshnikova, E.1. 611, 924 Yezhov, G.P. 469
Takovitskil, S.A. 373, 912 Zakharov, D.D. 573
Tarabrin, G.T. 430 Zelentsov, V.B. 139
Tirskiy, G.A. 888 Zelikin, M.1. 264
Tkhai, V.N. 497, 734, 876 Zubov, L.M. 300
Tolokonnikov, L.A. 590 Zuyev, V.V. 84