| 弹性半空间不规则异质体引起的瑞利波散射 |
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| 引用本文： | 高广运,李志毅,邱畅.弹性半空间不规则异质体引起的瑞利波散射[J].岩土工程学报,2005,27(4):378-382. |
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| 作者姓名： | 高广运 李志毅 邱畅 |
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| 作者单位： | 同济大学地下建筑与工程系；上海浦东工程建设管理有限公司 上海200092；上海200092；上海201201； |
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| 基金项目： | 国家自然科学基金资助项目(50178050) |
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| 摘 要： | 从Lamb 问题的基本解出发,通过对弹性波散射问题的积分方程进行复杂的数学变换和推导,得到了一个适合于瑞利波散射问题的积分方程的简单表达式,通过迭代求解这个表达式即可解决多个不规则异质体引起的瑞利波散射问题。实例证明本文方法收敛速度非常快,通常只需迭代3～4 次即可得到精确的解答。
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| 关 键 词： | 瑞利波 Born近似 不规则异质体 积分方程法 |
| 文章编号： | 1000-4548(2005)04-0378-05 |
Scattering of Rayleigh wave from irregular obstacles in elastic half-space |
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| GAO Guang-yun,LI Zhi-yi,QIU Chang.Scattering of Rayleigh wave from irregular obstacles in elastic half-space[J].Chinese Journal of Geotechnical Engineering,2005,27(4):378-382. |
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| Authors: | GAO Guang-yun LI Zhi-yi QIU Chang |
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| Affiliation: | 1.Department of Geotechnical Engineering Tongji University Shanghai 200092 China 2.Shanghai Pudong Construction Project Management Company Ltd Shanghai 201201 China |
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| Abstract: | In this paper, a simple integral equation for scattering of Rayleigh wave has been deduced based on the fundamental solution of Lamb problem and elastic wave scattering theory. This method can deal with scattering of Rayleigh wave from irregular multi-obstacles by iteration. The convergence rapidity of the method has been proved very high by some practical examples, and usually the accurate solution can be obtained only through three to four times of iteration. |
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| Keywords: | Rayleigh wave Born approximation irregular obstacle integral equation |
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