Scattering of plane P waves by a semi-cylindrical hill: analytical solution  

作　　者：梁建文 张彦帅 Vincent W Lee 

机构地区：[1]Department of Civil Engineering, Tianjin University, Tianjin 300072, China,Professor [2]Department of Civil Engineering, Tianjin University, Tianjin 300072, China,Graduate,Student [3]Department of Civil Engineering, University of Southern California, Los Angeles,CA 90089-2531,USA,Professor

出　　处：《Earthquake Engineering and Engineering Vibration》2005年第1期27-36,共10页地震工程与工程振动（英文刊）

基　　金：National Natural Science Foundation of China Under Grant No.50378063Excellent Young Teacher Program of Ministry of Education

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.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：HILL plane P waves SCATTERING analytical solution AMPLIFICATION 

分 类 号：P315.3[天文地球—地震学]