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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (9): 1082-1089.

• 论文 • 上一篇    下一篇

SCATTERING OF PLANE SH-WAVE BY A CYLINDRICAL HILL OF ARBITRARY SHAPE

曹欣荣1, 宋天舒2, 刘殿魁1   

  1. 1. Department of Civil Engineering, Harbin Engineering University, Harbin 150001, P R China;
    2. Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P R China
  • 收稿日期:2000-06-22 修回日期:2001-04-08 出版日期:2001-09-18 发布日期:2001-09-18

SCATTERING OF PLANE SH-WAVE BY A CYLINDRICAL HILL OF ARBITRARY SHAPE

CAO Xin-rong1, SONG Tian-shu2, LIU Dian-kui1   

  1. 1. Department of Civil Engineering, Harbin Engineering University, Harbin 150001, P R China;
    2. Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P R China
  • Received:2000-06-22 Revised:2001-04-08 Online:2001-09-18 Published:2001-09-18

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摘要： The problems of scattering of plane SH-wave by a cylindrical hill of arbitrary shape is studied based on the methods of conjunction and division of solution zone. The scattering wave function is given by using the complex variable and conformal mapping methods. The conjunction boundary conditions are satisfied. Furthermore appling orthogonal function expanding technique, the problems can finally be summarized into the solution of a series of infinite algebraic equations. At last, numerical results of surface displacements of a cylindrical arc hill and of a semi-ellipse hill are obtained. And those computational results are compared with the results of finite element method (FEM).

Abstract: The problems of scattering of plane SH-wave by a cylindrical hill of arbitrary shape is studied based on the methods of conjunction and division of solution zone. The scattering wave function is given by using the complex variable and conformal mapping methods. The conjunction boundary conditions are satisfied. Furthermore appling orthogonal function expanding technique, the problems can finally be summarized into the solution of a series of infinite algebraic equations. At last, numerical results of surface displacements of a cylindrical arc hill and of a semi-ellipse hill are obtained. And those computational results are compared with the results of finite element method (FEM).

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