Efficient Approach to the Evaluation of Dynamic Stresses in Layered Circular Plates Based on the Prudnikov Formula for the Inverse Laplace Transformation

Abstract

We propose an algorithm for the solution of axisymmetric dynamic problem of the theory of elasticity for a piecewise homogeneous ring, loaded by normal forces variable as functions of time. We perform the numerical analysis of stresses in plates with arbitrary numbers of layers on the basis of finding the Laplace transform by the modified Prudnikov formula for its inversion. We also establish the characteristic features of the distribution of dynamic stresses in homogeneous and piecewise homogeneous plates.