SH波入射时浅埋结构的动力分析

建立了求解浅埋圆形孔洞对稳态SH波散射以及浅埋结构动力分析的解析方法。利用SH波散射的对称性和多极坐标的方法，构造出了一个可以预先满足水平地面上应力自由边界条件的圆形孔洞对稳态SH波散射的波函数。利用这一波函数，可将该问题转化成对一个圆形孔洞散射的求解问题。该问题的解答，最终又可归结为对一组无穷代数方程组的求解问题，并可利用截断有限项的方法对其进行计算。最后给出了当稳态SH波入射时有关浅埋圆形孔洞附近的动应力集中问题的算例和数值结果，并讨论了波数与浅埋圆形孔洞孔心至自由边界距离变化对动应力集中的影响。

Dynamic Analysis of Shallow Filled Structure with Incident SH-Wave

An analytic method has been developed for scattering of steady SH_wave and dynamic analysis of a shallow filled circular structure. A wave function has been constructed by the symmetry of scattered SH_wave and the method of multipolar coordinates system for a shallow filled circular cavity created by incident steady SH wave, which satisfies the stress free condition on the ground surface. The problem can be summarized using this scattered wave function to the scattering of SH_wave by a shallow fill circular cavity.And finally,the solution of the problem can be reduced to series of algedbraic equation sand solved numerically by truncating the finite terms of the infinite algebraic equations.Numerical examples are provided to show the effect of wave number and distance between the center of the cavity and the ground surface upon the dynamic stress concentration around the cavity edge impacted by incident steady SH_wave.