Numerical Calculations Models for Physical-Mechanical Systems

Estimation of stability of plates by dynamic criterion and Lyapunov's first method

A. N. Kudinov, E. V. Chusova

Tver State University, Tver

Abstract: The main idea of the article is to present to the readers a research of stability of nonlinear mathematical models of plates under the influence of dynamic loading. The developed algorithm allows to find points of positions of balance and to check up stability of system by dynamic criterion. In article a research of stability of the linearized system by Lyapunov's first method is presented.

Keywords: stability, plates, dynamic criterion, Lyapunov's first method.

UDC: 531

Received: 21.11.2011
Revised: 03.02.2012

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