Oscillations of a Sandwich Plate in a Temperature Field Caused by Local Impulses

The vibrations of a circular, thickness-symmetric three-layer sandwich plate under a local pulsed axisymmetric load are investigated. Thin load-bearing layers obey the classical Kirchhoff hypotheses. In a thicker lightweight filler, the Timoshenko hypothesis is adopted. The effect of temperature on the elastic parameters of the materials of the layer is taken into account. The solution to the initial-boundary value problem for a sandwich plate is obtained by expanding the sought functions in a series over a system of eigenfunctions. Transcendental equations are written out to find the corresponding eigenvalues; their values are given in Table 1. Calculation formulas for deflection and relative shear in the filler are obtained. The results of the numerical analysis are presented in the form of graphs.