平面SV波入射下弹性半空间中三维球形洞室的动力响应

梁建文; 胡淞淋; 刘中宪; 巴振宁

doi:10.11779/CJGE201609002

平面SV波入射下弹性半空间中三维球形洞室的动力响应 English Version

1. 天津大学水利工程仿真与安全国家重点实验室,天津 300072;
2.天津大学建筑工程学院,天津300072;
3. 天津城建大学土木工程学院,天津 300384

基金项目: 国家自然科学基金项目（51378348）

详细信息

作者简介:
梁建文(1965- ),男,教授,博士生导师,主要从事地震工程研究。E-mail: liang@tju.edu.cn。

中图分类号: TU435
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- 文章访问数: 397
- HTML全文浏览量: 1
- PDF下载量: 355
出版历程
- 收稿日期: 2015-07-31
- 发布日期: 2016-09-24

Dynamic response of 3D spherical cavity in elastic half-space under plane SV waves

1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
2. School of Civil Engineering, Tianjin University, Tianjin 300072, China;
3. School of Civil Engineering, Tianjin Chengjian University, Tianjin 300384, China

摘要

摘要: 采用一种间接边界积分方程法求解了平面SV波入射下弹性半空间中三维洞室的动力响应问题。通过与已有结果的比较,验证了方法的计算精度。在此基础上,以半空间中圆球形洞室为例,对地表位移响应和洞周动应力集中特征进行了详尽的参数分析,并与二维模型进行了比较。研究表明：二维和三维模型对平面波的动力响应在平面内存在一定的相似性,但在波型转换上存在显著差别,尤其体现在响应峰值及空间分布特征上,并且随着频率的升高,空间分布差异愈加明显;在出平面方向,三维洞室周围存在着显著的波散射效应,而二维模型难以描述这种出平面波型转换现象。
- 三维洞室 /
- 间接边界积分方程法 /
- 平面SV波 /
- 散射 /
- 动应力集中
Abstract: Dynamic response of a three-dimensional (3D) spherical cavity in elastic half-space under incident plane SV waves is investigated by using the indirect boundary integral equation method (IBIEM). The accuracy of the method is verified through comparison with the solutions in literatures. Taking a spherical cavity as an example, both the dynamic surface displacement and the dynamic stress concentration around the cavity in a homogeneous half-space are solved and analyzed through parametric studies, and the comparison between 3D and 2D results is implemented. It is shown that the dynamic responses around 2D and 3D cavity are similar in general, but there are still evident differences in wave-pattern conversion, especially for their peak values and spatial distributions, and the differences of the spatial distribution are more obvious when the incident frequency increases. In the anti-plane direction, the scattering effect is significant in 3D case, but it is difficult to be described in 2D case.
- 3D cavity /
- IBIEM /
- plane SV wave /
- scattering /
- dynamic stress concentration

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参考文献(22)

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平面SV波入射下弹性半空间中三维球形洞室的动力响应 English Version

作者简介: 梁建文(1965- ),男,教授,博士生导师,主要从事地震工程研究。E-mail: liang@tju.edu.cn。

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出版历程

Dynamic response of 3D spherical cavity in elastic half-space under plane SV waves

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出版历程

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作者简介:
梁建文(1965- ),男,教授,博士生导师,主要从事地震工程研究。E-mail: liang@tju.edu.cn。