半空间界面反平面谐振动对界面刚性物的激励效应

STIMULATING EFECT OF HALF-SPACE SURFACE OUT-OF-PLANE LINE HARMONIOUS OSILLATION TO SURFACE RIGID BODY

利用波函数展开法和格林(Green)函数法研究了半空间界面上的刚性物与半圆形凹陷对半空间界面上反平面稳态点源的动态响应问题。考虑到问题的线性特点应用叠加原理将复杂的双曲偏微分方程定解问题分解为几个子问题写出问题的解,利用问题的位移连续条件得到确定接触力或接触处位移的定解方程组。通过一个算例分析了刚性物的质心位移幅度和转动响应幅度的变化以及半圆形凹陷处的环向动态应力的变化,结果说明方法是可行的,结论可为地面工程结构抗震设计提供理论参考。

The wave function expansion method and Green function method are employed to study the dynamic response of the surface rigid body and the half canyon on the half-space boundary to the steady out-of-plane line loading.The superposition principle is used to divide the hyperbolic differential equation definite problem into several sub-problems considering the linear characteristic of the problem.And the solution-definite linear equation group about the touching forces and displacements can be obtained with the help of displacement continuous conditions.The variations of the displacement amplitudes and the rotation response amplitudes of the rigid body and the variations of the tangential stress at the half-circular canyon boundary are analyzed by a given example,the results show the feasibility of the method here,the obtained conclusions can provide theoretical references for the ground engineering structure seismic designs.