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半空间异质隆起的出平面动力响应:闭合级数解答
Out-of-plane dynamic response of a heterogeneous hill in half-space: the closed-form solution
【摘要】 采用分区思想和辅助函数方法,利用波函数展开技术,提出了水平地表圆形非匀质隆起出平面动力响应的闭合级数解答。将解答归结为一组无穷代数方程组的求解,解答的数值结果可由无穷方程的截断计算得出。计算结果表明,给出的闭合解答在宽频带内能很快收敛。
【Abstract】 A closed-form solution for two-dimensional scattering of plane SH waves by a semi-cylindrical heterogeneous hill are presented by using the region division and auxiliaryfunctions methods as well as the wave functions expansion.The solution is reduced to solving a set of infinite linear algebraic equations and the numerical solution can be obtained by truncation ofthe infinite algebraic equations. The calculation results indicate the convergence of the solution is fast in the wide frequency range.
【关键词】 半空间;
非匀质隆起;
平面SH波;
闭合级数解;
【Key words】 half-space; heterogeneous hill; plane SH wave; closed-form solution;
【Key words】 half-space; heterogeneous hill; plane SH wave; closed-form solution;
【基金】 国家自然科学基金资助课题项目(49974011)
- 【文献出处】 地震工程与工程振动 ,Earthquake Engineering and Engineering Vibration , 编辑部邮箱 ,2005年03期
- 【分类号】P315.9
- 【被引频次】5
- 【下载频次】102