ABDIKARIMOV R.A.
ABSTRACT
Based on the Kirchhoff—Love hypothesis a mathematical model of the problem on dynamic stability of visco-elastic rectangular orthotropic plates of variable rigidity is presented in geometric nonlinear posing with respect to propagation of elastic waves. The problem is reduced to solution of the system of nonlinear integro-differential equations with variable coefficient with the help of Bubnov—Galyorkin method based on the polynomial approximation of a sagging and translations. The effect of visco-elastic properties of material and thickness changes on the process of dynamic stability of the orthotropic plate has been considered.
KEYWORDS
mathematical model, viscoelasticity, orthotropic, dynamic stability, integral-differential equation, Bubnov-Galerkin method.
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