采用积分变换法,推导了三维弹性体内部作用线性分布简谐荷载的稳态解,利用半空间表面边界条件,建立了显式半空间内部荷载作用下的2.5D Green函数,然后将解析解结果与边界元法(BEM)结果对比,验证该方法正确性,为分析半空间内部线性分布简谐产生的波场散射问题提供了一种有效计算方法.
By means of integral transform methods,this paper derives the steady state solution of a spatially sinusoidal harmonic load in a homogeneous three-dimensional half-space.Considering the free-surface condition,the explicit Green's functions for a half-space are then given.The final expressions are validated by comparing the results with those obtained with the boundary element method(BEM) solution.The aim of this study is to propose Green's functions as an effective way for calculating the wave field radiated by a spatially sinusoidal,harmonic load in a half-space.