Abstract
A mathematical model is developed for the dynamic behavior of rigid-plastic thin reinforced layered curvilinear, hinge-supported or clamped, plates with an arbitrary free hole. The plates are on a viscous foundation and are subjected to the action of a dynamic load of explosive type uniformly distributed on its surface. The plates are hybrid, multilayered, and fibrous, with their layers distributed symmetrically with respect to the middle surface. In each layer, the reinforcing fibers are located parallel or normal to the external contour of plate. The structural model of a reinforced layer is used. Depending on intensity of the load, various dynamic deformation modes of the plates are possible. From the principle of virtual power, with account of d’Alembert’s principle, the equations of dynamic behavior of the plates are obtained and the conditions for their implementation are determined for each of the modes. Analytical expressions for estimation of their limit loads are obtained. The variant of quasi-isotropic reinforcement is considered. Numerical examples for a reinforced elliptic plate with a circular hole are given.
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