刚性基础上的弹性层在表面垂直集中简谐载荷作用下的动力响应
Dynamic Response of Elastic Layer on Stiff Foundation under Time Harmonic Surface Vertical Concentrated Load
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摘要: 本文首次将文献[1]所提出的线载荷积分方程法应用于求解弹性动力学问题。导出了刚性基础上的弹性层在表面垂直集中简谐载荷作用下动力响应问题的一维非奇异积分方程组,并求得了数值解。Abstract: In this paper, the line-load integral equation method proposed in reference [1] is first used for solving the elastodynamic problems. A set of one-dimensional regular integral equation is derived for calculating the dynamic response of elastic layer on stiff foundation under time harmonic surface vertical concentrated load. And the numerical solution of the integral equation is obtained.
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[1] 云天铨,简便积分方程法分析桩,应用数学和力学,2, 3 (1981), 307-320. [2] 云天铨,水平刚性岩基上的弹性层表面受垂直集中力问题的积分方程解法,固体力学学报,3(1983). [3] Miklowits, J,,The Theory of Elastic Waves and Waveguides, North-Holland, New York(1978). -
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