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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
引用本文:李雨润,袁晓铭,孙锐.半空间异质隆起的出平面动力响应:闭合级数解答[J].地震工程与工程振动,2005,25(3):1-5.
作者姓名:李雨润  袁晓铭  孙锐
作者单位:中国地震局工程力学研究所,黑龙江,哈尔滨,150080;中国地震局工程力学研究所,黑龙江,哈尔滨,150080;中国地震局工程力学研究所,黑龙江,哈尔滨,150080
基金项目:国家自然科学基金资助课题项目(49974011)
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。

关 键 词:半空间  非匀质隆起  平面SH波  闭合级数解
文章编号:1000-1301(2005)03-0001-05
修稿时间:2005年3月28日

Out-of-plane dynamic response of a heterogeneous hill in half-space: the closed-form solution
Li Yurun,YUAN XiaoMing,Sun Rui.Out-of-plane dynamic response of a heterogeneous hill in half-space: the closed-form solution[J].Earthquake Engineering and Engineering Vibration,2005,25(3):1-5.
Authors:Li Yurun  YUAN XiaoMing  Sun Rui
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.
Keywords:half-space  heterogeneous hill  plane SH wave  closed-form solution
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