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Lowering the order of the system of differential equations of motion for a multimass array of solid bodies. (English. Russian original) Zbl 0474.70007

Sov. Appl. Mech. 17, 304-309 (1981); translation from Prikl. Mekh. 17, No. 3, 122-129 (1981).

MSC:

70E99 Dynamics of a rigid body and of multibody systems
74H45 Vibrations in dynamical problems in solid mechanics
70J30 Free motions in linear vibration theory
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References:

[1] G. I. Barenblatt, ?Propagation of momentary perturbations through a medium with a nonlinear dependence of stresses on strains,? Prikl. Mat. Mekh.,17, No. 4, 455?460 (1953).
[2] B. M. Budak and A. D. Gorbunov, ?Method of straight lines for solving a particular nonlinear boundaryvalue problem for a region with a curvilinear boundary,? Dokl. Akad. Nauk SSSR,118, No. 5, 858?861 (1958). · Zbl 0085.30803
[3] V. I. Krylov, V. V. Bobkov, and P. I. Monastyrskii, Computation Methods [in Russian], Vol. 2, Nauka, Moscow (1977).
[4] V. A. Lazaryan and S. I. Konashenko, Generalized Functions in Problems of Mechanics [in Russian], Naukova Dumka, Kiev (1974). · Zbl 0317.73037
[5] Kh. A. Rakhmatullin and Yu. A. Dem’yanov, Strength under Intense Loads of Short Duration [in Russian], Fizmatgiz, Moscow (1961).
[6] A. A. Samarskii and Yu. P. Popov, Difference Schemes in Gas Dynamics [in Russian], Nauka, Moscow (1975).
[7] G. M. Fikhtengol’ts, Study Course in Differential and Integral Calculus [in Russian], Vol. 2, GITTL, Moscow-Leningrad (1951).
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