A Method of Fundamental Solution for Two Dimensional Elastodynamic Problems under Harmonic Vibrations and Its Applications

HASEGAWA Hisao, WATANABE Shungo, HIRATA Hayato, SAWACHI Atsushi, WATANABE Kazumi

doi:10.1299/kikaia.75.703

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二次元調和振動弾性問題の物体力分布法とその応用
2ジゲンチョウワシンドウダンセイモンダイノブッタイリョクブンプホウトソノオウヨウ

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Abstract

A body force distribution method is presented for the dynamic elasticity problems of an infinite plate subjected to harmonically vibrating forces, under the plane strain condition. Recently methods of solution by using fundamental solutions are actively considered and called MFS. The method of solution shown in this paper is one of MFS. 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 in an infinite elastic plate. The principle of the method of solution is to distribute body forces so as to satisfy boundary conditions for problems to be solved. The results obtained from the present method to an infinite plate with a circular hole subjected to a harmonically vibrating pressure are in good agreement with the exact solution. The stress concentration problem of an infinite plate containing a square hole with rounded corners subjected to a harmonically vibrating pressure is considered by the present method.

Journal

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 75 (754), 703-708, 2009

The Japan Society of Mechanical Engineers

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