Stability Loss Problems for Viscoelastic Plates
In the present chapter within the scope of the TDLTS an approach is developed for investigation stability loss of plates made of viscoelastic composite materials. Rectangular and circular plates are considered. By average-integrating through the thickness of the plates the stability loss equations within the framework of approximate plate theories are derived from the equations and relations of the TDLTS. For the solution to the corresponding boundary value problems the analytical and numerical methods (semi-analytical and 3D FEM) are developed. Numerical results on the critical forces and critical time obtained by employing various theories are presented and discussed. Concrete investigations are made for the cases where the ends of the plates are clamped or simply supported.
KeywordsPlate Theory Laplace Transformation Finite Element Method Modeling Zeroth Approximation Initial Imperfection
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