SH波入射时浅埋衬砌结构的动力分析

Dynamic Analysis for Shallow-embedded Lining Structure Impacted by Incident SH-wave

建立了求解半无限空间中界面附近圆形衬砌结构对SH波散射问题的解析方法.在复平面上构造出一个可以预先满足半空间自由表面上应力自由的边界条件的浅埋圆形衬砌对稳态SH波散射的波函数.再利用衬砌周围的边界条件,将该问题归结为对一组无穷代数方程组的求解.最后给出了算例,并讨论了其数值结果.可以看到,选用硬的衬砌并适当增加衬砌厚度可以有效的减少介质内的应力.

An analytic method has developed for the scattering problem of a shallowembedded circular lining structure impacted by steady SHwave.The scattering wave function is constructed based upon the symmetry of SHwave scattering and the method of multipolar coordinate system, which satisfies the condition of being stress free at the ground surface of the halfspace containing a shallowembedded circular lining cavity. Using the boundary conditions around the lining structure, the solution of the problem can be reduced to a series of algebraic equations. Finally, numerical examples are provided and discussed. It can be seen that hard lining structure with proper thickness can decrease the stress in medium effectively.