Dynamic Stability of Orthotropic Viscoelastic Rectangular Plate of an Arbitrarily Varying Thickness

The research object of this work is an orthotropic viscoelastic plate with arbitrarily varying thickness. was subjected to dynamic periodic load. Within the Kirchhoff–Love hypothesis framework, a mathematical model built in geometrically nonlinear formulation, taking into account tangential forces inertia. Bubnov–Galerkin method, based on polynomial approximation deflection and displacement, used. problem reduced solving systems integrodifferential equations. solution system obtained for thickness plate. With weakly singular Koltunov–Rzhanitsyn kernel variable coefficients, resulting solved by numerical method quadrature formulas. computational algorithm developed implemented Delphi algorithmic language. plate’s stability investigated depending geometric parameters inhomogeneous material properties. It found that results using exponential relaxation almost coincide elastic problem. Using kernel, differences between problems are significant amount more than 40%. proposed can be used various thin-walled structures such as plates, panels, shells