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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2003 Volume 6, Number 3, Pages 299–311 (Mi sjvm196)

The conjugate-operator model for a dynamic problem of the plate theory

S. B. Sorokin

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences

Abstract: In this paper, according to hypotheses of a technical theory of their plates the equations, making up the mathematical model of the dynamic problem of elasticity theory, are averaged on the operator level. As a result, the conjugate-operator model of the dynamic problem of the theory of plates has been obtained, its possible statements being formulated, and approaches to their numerical realization being discussed. The efficient difference schemes (local-one-dimensional) for the statement “velocities-moments” are substantiated.

UDC: 519.635.1; 534.121.1

Received: 02.12.2002
Revised: 19.03.2003



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