Journal of Applied Mathematics and Mechanics 2007: Vol 71 Index & Table of Contents

2007·1.7 MB·English

JOURNAL OF
APPLIED MATHEMATICS AND MECHANICS
PRIKLADNAYA MATEMATIKA I MEKHANIKA
LIST OF CONTENTS AND AUTHOR INDEX
VOLUME 71, 2007
ELSEVIER
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:
Professor G.H ERRMANN", Stanford University, CA, USA
R. C. GLASS, City University, London, UK
Panel of Translators:
P. CURTIS, R. C. GLASS, N.N. ROGACHEVA, P. SHELNITZ, E. L. SHORT
PRIKLADNAYA MATEMATIKA I MEKHANIKA
Russian Academy of Sciences
Editorial Board
V. V. RUMYANTSEV*™ (Editor-in-Chief)
Yu. P. GUPALO (Deputy Editor)
F. L. CHERNOUS’K O A. G. KULIKOVSKII
G. G. CHERNYI N. F MOROZOV
I. G.G ORYACHEVA Yu. S. OSIPOV
S. S. GRIGORYAN L. V. OVSYANNIKOV
N. N. KRASOVSKII G. A. TIRSKII
Editorial Advisory Board
L. D.A KULENKO G. A. LYUBIMOV
V. M. ALEKSANDROV A. P. MARKEYEV
S. A.A MBARTSUMYAN V. M. MATROSOV
I. I. BLEKHMAN A. A. MELIKYAN
V. V. BOLOTIN B. E. POBEDRYA
R. V. GOL’ DSHTEIN G. Ya. POPOV
A. P. IVANOV V. V. PUKHNACHEV
D. D. IVLEV N. N. ROGACHEVA
A. V. KARAPETYAN S. Ya. STEPANOV
V. I. KONDAUROV V. V. SYCHEV
V. N. KOSHLYAKOV V. N. TKHAI
V. V. KOZLOV V. F. ZHURAVLEV
A. N. KRAIKO
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VOLUME CONTENTS
VOLUME 71 2007 NUMBER 1
CONTENTS
A.P. MARKEYEY: The oscillations of a satellite about a direction fixed in absolute space ......0.00.00.000. 00.004.
V.N. KOSHLYAKOV and V.L. MAKAROYV: Mechanical systems, equivalent in Lyapunov’s sense to systems not
erate ire mree V SORE OS gen os ee OER en ol oer een V9 RG os Pewee ss keene
N.G. KHOMASURIDZE: The symmetry principle in continuum mechanics
G.A. KAPANADZE: A problem of the bending of a plate for a doubly connected domain with a partially unknown
boundary
A.YU. ZEMLYANOVA and V.V. SIL’ VESTROV: The problem of the reinforcement of a plate with a cutout by a
two-dimensional patch
V.A. ROMASHCHENKO: Solutions of dynamic problems for incompressible and slightly compressible helically
Sr SPACED: SHEETS et SO NT CIO ea es hs ek Ce KET EP ERN 4S Su Cas wR ae Oe ey ees
V.A. YEREMEYEY. A.B. FREIDIN AND LLL. SHARIPOVA: The stability of the equilibrium of two-phase elastic solids... .
A.O. VATULYYAN, O.B. DOMBROVA and V.YE. ZHIROV: Inverse problems for non-uniformly polarized
piezoelectric rods
O.V. SADOVSKAYA and V.M. SADOVSKII: The theory of finite strains of a granular material
S.YE. ALEKSANDROV and R.V. GOLDSTEIN: Plastic flow in a conical channel. Qualitative features of the
solutions under different yield conditions
V.M. MIRSALIMOV: The solution of a problem in contact fracture mechanics on the nucleation and development of a
bridged crack in the hub of a friction pair
Sixth International Symposium on Classical and Celestial Mechanics. First communication and call for papers ..... .
Contents of next issue
VOLUME 71 2007 NUMBER 2
CONTENTS
G.K. MIKHAILOV and S.YA. STEPANOV: Leonhard Euler and his contribution to the development of mechanics . . .
L.D. AKULENKO and A.P. KOSHELEYV: Time-optimal steering of a point mass to a specified position with the required
velocity
V.1. MATYUKHIN: The control of a wheeled mechanical system
LL.B. RAPOPORT: An estimate of the attraction domain with a specified exponential stability index in a wheeled robot
SE RI es os ARR ot en eee, Re 5 lr io A i eee bk oN PE SS OOM Ae Cees DaewA
A.A. AZAMOV, A.SH. KUCHKAROV and B. SAMATOV: The relation between problems of pursuit, controllability and
stability in the large in linear systems with different types of constraints... 0.0.0.0... 0... ee ee ee
A.R. AKHMETZHANOV and A.A. MELIKYAN: A linear differential game on a plane with a minimum-type
functional
S.M. ZEN’ KOVSKAYA, V.A. NOVOSYADLYT and A.L. SHLEIKEL’: The effect of vertical vibration on the onset of
thermocapillary convection ina horizontal liquid layer
A.N, BOGDANOV and V.N. DIESPEROV: Tollmien-Schlichting waves in a transonic boundary layer. Excitation from
the outer flow and from the surface
V.S. GALKIN: Transformations of the equations of the first approximation of Chapman-Enskog methods and vector
CORRENTE VELA FOP AE IEN GE Gr mn ROE os rk oh ns eens cee ee hee wee Rah eet beaaees
A.A. KOROBKIN and Tl. KHABAKHPASHEVA: The construction of exact solutions in the floating-plate problem. . .
doi: 10.1016/S002 1 -8928(08)0002 1-X
A.S. KRAVCHUK and P. NEITTAANMAKI: The solution of contact problems using boundary element method. . .
V.M. ALEKSANDROV and N.A. BAZARENKO: The contact problem for a rectangle with stress-free side faces ...
Contents of next issue
VOLUME 71 2007 NUMBER 3
CONTENTS
A.V. KARAPETYAN: Aleksandr Mikhailovich Lyapunov and his role in the establishment and development of stability
theory
A.YU. ALEKSANDROYV: The stability of the equilibrium positions of non-linear non-autonomous mechanical systems. . .
S.V. PAVLIKOV: Constant-sign Lyapunov functionals in the problem of the stability of a functional differential equation. . . .
B.S. KALITIN: A reduction principle for asymptotically triangular differential systems ................0.0.005.
R.G. MUKHARLYAMOV: Reduction of the equations of dynamics of systems with constraints to a given structure... .
A.A. KOSOV: The exponential stability and stabilization of non-autonomous mechanical systems with non-conservative
A.P. IVANOV: The stability of equilibrium in systems with friction
N.N. VERICHEYV. S.N. VERICHEV and VI. YEROFEYEV: The chaotic dynamics of vibrational mechanisms with
energy sources of limited power
M.M. ALIMOV: The reducibility of the anisotropic Hele-Shaw problem to the isotropic case
E.K. LAVROVSKII and V.V. FOMINY KH: The equilibrium shapes of non-uniform vortices in the ocean
P.YE. SPESIVTSEV and E.V. TEODOROVICH: The statistical characteristics of the displacement front in a randomly
heterogeneous medium
A.V. KOLDOBA and YE.V. KOLDOBA: The propagation of weak concentration discontinuities in the isothermal flow
of a multicomponent mixture in a porous medium with phase transitions . 2.0... 0000 00 ee ee ees
VOLUME 71 2007 NUMBER 4
CONTENTS
Announcement
lrina Georgiyevna Goryacheva (On her birthday)
1.G. GORYACHEVA and YU.YU. MAKHOVSKAYA: Adhesive resistance in the rolling of elastic bodies
N.N. ROGACHEVA: The dynamic behaviour of piezoelectric laminated bars
L.A. ALEKSEYEVA: The dynamics of an elastic half-space under the action of a moving load
L.M. ZUBOV: The problem of the equilibrium of a helical spring in the non-linear three-dimensional theory of elasticity... .
N.V. BANICHUK: Optimization of axisymmetric membrane shells
A.A. MARKIN and M.YU. SOKOLOVA: Non-linear relations of anisotropic elasticity and a particular postulate of
isotropy
E.A. IVANOVA, A.M. KRIVTSOV and N.F. MOROZOV: Derivation of macroscopic relations of the elasticity of
complex crystal lattices taking into account the moment interactions at the microlevel..................0.05.
V.I. KONDAUROV: The thermodynamically consistent equations of a thermoelastic saturated porous medium
A.l. GLUSHKO and LI. NESHCHERETOV: An approach to constructing models of multiphase elastic porous
media
G. IOVANE, M.A. SUMBATYAN and V. TIBULLO: A mixed boundary-value problem for the wave equation in a
stratified medium for high-frequency oscillations
L.A. SOLDATENKOV: The calculation of the energy losses in a sliding elastic contact with friction and wear (the plane
problem)
YE.V. GLUSHKOV, N.V. GLUSHKOVA and M.V. GOLUB: Diffraction of elastic waves by an inclined crack in a layer
Contents of next issue
VOLUME 71 NUMBER 5
CONTENTS
Leomd ivasevicn Sedov ton the 100k miniversary of Ris Gith)..o..3..5 6. ce nc ce wb nano dened abe.
A.N. GOLUB YATNIKOV., S.1. ZONENKO and G.G. CHERNYI: New models of explosively accelerated projected shells
A.N. KRAIKO: Rapid cylindrically and spherically symmetric strong compression of a perfect gas... ....0.0.....
A.G. KULIKOVSKIHL, A.V. LOZOVSKIL and N-T. PASHCHENKO: Evolution of perturbations on a weakly inhomogeneous
background
A.P. CHUGAINOVA: Self-similar asymptotics of wave problems and the structures of non-classical discontinuities in
non-linearly elastic media with dispersion and dissipation
O.V. VOINOV: The symmetries of slow motions and the equilibria of continua
V.M. ZHDANOV and G.A. TIRSKIY: A phenomenological and kinetic description of diffusion and heat transport in
multicomponent gas mixtures and plasma
A.N. BOGDANOV and V.N. DIYESPEROV: The effect of viscosity on the free stream in transonic flow over a corner
point
V.A. ANDRUSHCHENKO,. N.G. SYZRANOVA and YU.D. SHEVELEY: An estimate of the heat fluxes to the surface
of blunt bodies moving at hypersonic velocity in the atmosphere
S.M. ZEN KOVSKAYA: Long-wave oscillatory Marangoni instability in a horizontal liquid layer
A.V. KISTOVICH and YU.D. CHASHECHKIN: Regular and singular components of periodic flows in the fluid interior... .
V.N. PAIMUSHIN: Problems of geometric non-linearity and stability in the mechanics of thin shells and rectilinear
Rs cre ey ee GE heck ye Oa EN oh eh Aa 9kS egcsh dag yc RO IE a alo! 9 a I ae er ee ale + 3 E's eam
Obituary: Valentin Vital’ yevich Rumyantsev (19/7/1921—10/6/2007)
CONIA OR ns tae eS nk cig wnclies Re oe aha bee ps elie eG ee Ge ¥ eas RS Pi oo ke bleh
VOLUME 71 2007 NUMBER 6
CONTENTS
A.R. AKHMETZHANOV., A.A. MELIKYAN and A.L. FRADKOV: The optimality of the velocity-gradient method in the
problem of controlling the escape from a potential well SO9
O.1. KOSTYUKOVA and M.A. KURDINA: The construction of discontinuous controls for non-linear dynamical system
with uncertainties ...... S19
O.R. KAYUMOV: The global controllability of some mechanical systems with absolutely clastic impacts... ..... 834
Vik. MAKSIMOV: Reconstruction of controls in exponentially stable linear systems subjected to small
NN Be, oe ee ie Ue nel MNES i oN ale BORNE a EN a ea eh FADES na a CoD Re eS a X51
LL.D. AKULENKO: Boundary kinematic control of a distributed oscillatory system &62
C.A. ALEKSEYEVA, V.L. VOROTNIKOV and V.A. FEOFANOVA: Problems of the partial stability and detectability of
dynamical systems 869
B.S. BARDIN: The orbital stability of periodic motions of a Hamiltonian system with two degrees of freedom in the case
ee te. Ciara ates Rose cee oi wigck Wyre Sibtane p ame R Te i Guan URaON es Ww Ue ext 4 J JeRte a wa wd WS ote al SSO
A.A. ZEVIN and L.A. FILONENKO: A= qualitative investigation of the oscillations of a pendulum with a
periodically varying length and a mathematical model of a swing... 1.0.0.0... cece cee cee eee eee ne ees 892
S.V. KHIZGIYAYEY: Self-excited oscillations of a two-mass oscillator with dry “stick-slip” friction
S.P. SOSNITSKIL: The stiffness of quasilinear gyroscopically coupled systems with respect to low and high frequency
periodic perturbations
V.S. ASLANOV: The oscillations of a body with an orbital tethered system
A.D. BRUNO and V.P. VARIN: Periodic solutions of the restricted three-body problem for a small mass ratio
Contents of next issue
AUTHOR INDEX
Akhmetzhanov, A.R. 234, 809 Khizgiyayev, S.V. 905
Akulenko, L.D. 200, 862 Khomasuridze, N.G. 20
Aleksandrov, A.Yu. 324 Kiselev, V.V. 453
Aleksandrov, S.Ye. 111 Kistovich, A.V. 762
Aleksandrov, V.M. 305 Koldoba, A.V. 432
Alekseyeva, C.A. 869 Koldoba, Ye.V. 432
Alekseyeva, L.A. 511 Kondaurov, V.I. 562
Alimov, M.M. 408 Korobkin, A.A. 287
Andrushchenko, V.A. 747 Koshelev, A.P. 200
Aslanov, V.S. 926 Koshlyakov, V.N. 10
Azamov, A.A. 229 Kosov, A.A. 371
Kostin, G.V. 611
Banichuk, N.V. 527 Kostyukova, O.1. 819
Bardin, B.S. 880 Kraiko, A.N. 676
Bazarenko, N.A. 305 Kravchuk, A.S. 295
Bogdanov, A.N. 258, 737 Krivtsov, A.M. 543
Borovikov, V.A. 449 Kuchkarov, A.S. 229
Bruno, A.D. 168, 933 Kulikovskii, A.G. 690
Kurdina, M.A. 819
Chashechkin, Yu.D. 762
Chernyi, G.G. 661
Lavrovskil, E.K. 415
Chugainova, A.P. 701
Lozovskii, A.V. 690
Diesperov, V.N. 258
Makarov, V.L. 10
Diyesperov, V.N. 737
Makhovskaya, Yu. Yu. 485
Dolgikh, D.V. 453
Maksimov, V.I. 851
Dombrova, O.B. 85
Markeyev, A.P. |
Markin, A.A. 536
Feofanova, V.A. 869
Matyukhin, V.I. 208
Filonenko, L.A. 892
Melikyan, A.A. 234, 809
Fominykh, V.V. 415
MikhailovG,.K . 157
Fradkov, A.L. 809
Mirsalimov, V.M. 120
Freidin, A.B. 61
Morozov, N.F. 543
Mukharlyamov, R.G. 361
Galkin, V.S. 269
Glushko, A.I. 580
Neittaanmiki, P. 295
Glushkov, Ye.V. 643
Neshcheretov, I.I. 580
Glushkova, N.V. 643
Novosyadlyi, V.A. 247
Goldstein, R.V. 111
Golub, M.V. 643
Paimushin, V.N. 772
Golubyatnikov, A.N. 661
Pashchenko, N.T. 690
Goryacheva, I.G. 485
Pavlikov, S.V. 339
Perelmuter, M.N. 137
lovane, G. 622
Ivanov, A.P. 385
Rapoport, L.B. 221
Ivanova, E.A. 543
Rogacheva, N.N. 494
Kalitin, B.S. 351 Romashchenko, V.A. 52
KapanadzeG.,A . 30
Karapetyan, A.V. 319 Sadovskaya, O.V. 93
Kayumov, O.R. 834 Sadovskii, V.M. 93
Khabakhpasheva, T.I. 287 Samatov, B. 229
doi: 10.1016/S002 1 -8928(08)00022- |
Saurin, V.V. 611 Varin, V.P. 933
Sergeyev, V.S. 438 Vatul’ yan, A.O. 85
Sharipova, L.L. 61 Verichev, N.N. 396
Shevelev, Yu.D. 747 Verichev, S.N. 396
Shleikel’, A.L. 247 Voinov, O.V. 712
Sil’vestrov, V.V. 40 Vorotnikov, V.I. 869
Sokolova, M.Yu. 536
Soldatenkov, I.A. 632 Yeremeyev, V.A. 61
Sosnitskii, S.P. 914 Yerofeyev, V.I. 396
Spesivtsev, P.Ye. 424
Stepanov, S.Ya. 157 Zemlyanova, A.Yu. 40
Sumbatyan, M.A. 622 Zen’ kovskaya, S.M. 247, 755
Syzranova, N.G. 747 Zevin, A.A. 892
Zhdanov, V.M. 718
Teodorovich, E.V. 424 Zhirov, V.Ye. 85
Tibullo, V. 622 Zonenko, S.I. 661
Tirskiy, G.A. 718 Zubov, L.M. 519