Abstract

This paper deals with the elastodynamic problem of a thick walled square cylinder subjected to harmonically vibrating internal pressures, under the plane strain condition. A method of fundamental solution, that is a body force distribution method, is presented for the problem. The fundamental solution used here is a steady state solution for an infinite elastic plate subjected to a harmonically vibrating body force acting at a point. The principle of the method of solution is to distribute body forces so as to satisfi, boundary conditions of the problem. The stresses, displacements and natural frequencies of the square cylinder are shown by numerical calculations.

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