【摘要】 利用Dirac delta δ（t）脉冲力作用下位移的Laplace变换求得了水平谐和集中力作用下弹性半空间表面位移的积分形式解。与Lamb求解积分表达式的方法不同,本文使用了Heariside谐和阶跃函数H（t）e^iωt,从而求得了匀质各向同性弹性半空间在水平谐和集中力作用下动水平表面位移的精确闭合解。这种动谐和集中力的精确解与著名的Ceruti静力解以及Chao的动力解相对应。由所得精确闭合解所计算的结果以图线表示之,并与鸟海的理论结果作了对比。更多还原

【Abstract】 The integral-form Solutions of fhe Surface displacements of an elastic halfspace produced by a horizontal harmonic concentrated force are obtained from the Laplace transform of displacemints for Dirac delta δ（t） pulse force. In contrast to Lamb’s solution of integral expression, the authors use HeaViside harmonic step function H（t）e^iwt and obtained the exact and closed-form solutions for the dynamic horizontal surface displacements of a homogeneous isotropic elastic half-space under a horizontal harmonic concentrated force. The exact solutions for the dynamic harmonic concentrated force are matched with the well-known Cerruti’s Solution in statics and with the Chao’s solution in dynamics. The results of the exact and closed-form solutions are illustrated in graphs and are conpared with Toriumi’s theoretical results.更多还原