THE TRANSIENT RESPONSES OF THE TIMOSHENKO BEAMS UNDER TRANSVERSE IMPACT

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  • 横衝撃荷重を受けるTimoshenkoはりの過渡応答
  • オウショウゲキ カジュウ オ ウケル Timoshenkoハリ ノ カト オウ

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Abstract

The transient responses of Timoshenko beams under transverse impact are caluculated in this paper. Analysis was carried out with aid of the Laplace transformation for two types of loadings applied to semi infinite and infinite beams respectively. Solutions were derived in form of definite integrals from contour inversion integral of Laplace transformation. Integrations were performed by means of Simpson's method, using high speed electric computer. The results obtained from numerical evaluation as follow : (1) The evaluation at the region, τ/α<ξ<τ, is very difficult except near the impact points. (2) At the region, ξ<τ/α, this evaluation is carried out without difficulty to large τ, and can be used in practical.

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