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Scattering of plane P waves by a semi-cylindrical hill: analytical solution
引用本文:梁建文 张彦帅 VincentWLee. Scattering of plane P waves by a semi-cylindrical hill: analytical solution[J]. 地震工程与工程振动(英文版), 2005, 4(1): 27-36. DOI: 10.1007/s11803-005-0021-z
作者姓名:梁建文 张彦帅 VincentWLee
作者单位:[1]DepartmentofCivilEngineering,TianjinUniversity,~anjin300072,China [2]DepartmentofCivilEngineering,UniversityofSouthernCalifornia,LosAngeles,CA90089-2531,USA
摘    要:An analytical solution for scattering of plane P waves by a semi-cylindrical hill was derived by using the wave function expansion method, and convergence of the solution and accuracy of truncation were verified. The effect of incident frequency and incident angle on the surface motion of the hill was discussed, and it was shown that a hill greatly amplifies incident plane P waves, and maximum horizontal displacement amplitudes appear mostly at the inclined incidence of waves, which are located at the half-space; and maximum vertical displacement amplitudes emerge mostly at the vertical incidence of waves, which are situated at the hill.

关 键 词:地震 震波 分散度 有限元分析
收稿时间:2004-12-21
修稿时间:2005-04-19

Scattering of plane P waves by a semi-cylindrical hill: analytical solution
Liang?JianwenEmail author,Zhang?Yanshuai,Vincent?W?Lee. Scattering of plane P waves by a semi-cylindrical hill: analytical solution[J]. Earthquake Engineering and Engineering Vibration, 2005, 4(1): 27-36. DOI: 10.1007/s11803-005-0021-z
Authors:Liang?Jianwen  author-information"  >  author-information__contact u-icon-before"  >  mailto:liang@tju.edu.cn"   title="  liang@tju.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Zhang?Yanshuai,Vincent?W?Lee
Affiliation:1. Department of Civil Engineering, Tianjin University, Tianjin 300072, China
2. Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089-2531, USA
Abstract:An analytical solution for scattering of plane P waves by a semi-cylindrical hill was derived by using the wave function expansion method, and convergence of the solution and accuracy of truncation were verified. The effect of incident frequency and incident angle on the surface motion of the hill was discussed, and it was shown that a hill greatly amplifies incident plane P waves, and maximum horizontal displacement amplitudes appear mostly at the inclined incidence of waves, which are located at the half-space; and maximum vertical displacement amplitudes emerge mostly at the vertical incidence of waves, which are situated at the hill.
Keywords:hill  plane P waves  scattering  analytical solution  amplification
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