【摘要】 建立了求解浅埋相邻多个圆形孔洞对稳态SH波的散射及浅埋结构动应力分析的解析方法.利用SH波散射的对称性、复变函数与多极坐标法,构造了一个可以满足水平地面上应力自由边界条件的浅埋相邻多圆孔对SH波散射的波函数.利用这一波函数,则可将这一个半空间的问题转化成对一个全空间中的相邻多圆孔的散射问题的求解.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,作为例题对抗爆问题进行分析.最后给出了当稳态SH波垂直于水平面入射时,有关浅埋相邻2个圆孔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2个圆孔中心至自由表面距离和2个圆孔中心距离变化对动应力集中的影响.更多还原

【Abstract】 A scattered wave function,which satisfies the condition of stress free on the ground surface,had been established for the multiple shallow fill circular cavities under the impact of incident steady SH-wave based upon the symmetry of SH-wave scattering and the method of multi-polar coordinate system. The solution of the problem of steady SH wave scattering can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations. Numerical examples were provided to show the effect of wave number, distance between centers of cavities and ground surface and distance between centers of cavities upon the dynamic stress concentration around the cavities under the impact incident steady SH-wave. 更多还原