波動界から導かれた静的弾性問題の解 : 長方形領域における二次元問題

概要

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This paper deals with the theory of obtaining the solutions of the elastostatics from the wave modes and their applications. A harmonic wave in an elastic strip consists of the P and the S waves. If the frequency of the wave becomes zero, these two components of the wave fall into linear dependence on each other. But, when the frequency tends to zero, the limit function of a linear combination of the P and the S components which are divided by square of the frequency satisfies the static equation. This is independent from the other solution which is the P component at zero-frequency. There are innumerable pairs of such solutions. The general solution for rectangular plates may be constituted as the series of these solutions with unknown coefficients which should be determined from the boundary conditions.
一般社団法人日本機械学会の論文
1985-03-25