| 李志远,李建波,林皋.各向异性对半圆形河谷散射影响的数值分析[J].计算力学学报,2019,36(1):117~123 |
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| 各向异性对半圆形河谷散射影响的数值分析 |
| Research of the influence of anisotropic media to the wave scattering of semi-circular canyon |
| 投稿时间：2017-06-13 修订日期：2018-04-25 |
| DOI：10.7511/jslx20170613001 |
| 中文关键词: 各向异性 半圆形河谷 qP波 比例边界有限元 子结构法 |
| 英文关键词:anisotropy semi-circular canyon qP wave SBFEM substructure technique |
| 基金项目:国家重点研发计划（2016YFB0201000）；国家自然科学基金委创新研究群体基金（51421064）；中央高校基本科研业务费（DUT17LK16）. |
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| 中文摘要: |
| 半圆形河谷场地可构造为包含河谷的广义子结构和具有规则边界的开挖场地两部分，基于土-结构相互作用SSI原理，建立子结构控制方程。利用比例边界有限元SBFEM求解开挖场地动刚度，解析求解各向异性介质自由场qP波波动，将两者代入控制方程，可求得广义结构的动力响应。与文献中各向同性半空间中半圆形河谷在P波入射下的位移结果对比，验证了方法的精度和有效性。进一步分析了椭圆各向异性和非椭圆各向异性对半圆形河谷在qP波入射下位移分布的影响。数值算例显示，介质的各向异性改变了半圆形河谷散射位移的空间分布，增大了水平向位移的峰值；同时，介质的各向异性加剧了入射角对散射波场位移分布的影响。 |
| 英文摘要: |
| A substructure replacement technique is proposed to investigate the effect of the anisotropy on the wave scattering and diffraction of a semi-circular canyon.By introducing an arbitrary auxiliary boundary,the scattering problem is solved as a simple radiation one.Based on the substructure technique,the half-space is truncated into two parts,namely,the near field enclosing all surface irregularities and the far field with regular boundaries.The scaled boundary finite element method (SBFEM) is applied to obtain the dynamic impedance of the far field and an analytical solution of wave motion of the anisotropic free-filed is used as the input wave.The accuracy and effectiveness of the proposed method are validated by comparing the results with those of extending studies.Finally,the effect of elliptic anisotropy and non-elliptic anisotropy on the wave scattering of a semi-circular canyon is investigated.Numerical examples show that the anisotropy of half-space greatly affect the spatial distribution of the scattering wave field. |
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