Scattering of Plane SH-Wave by a Cylindrical Hill of Arbitrary Shape

CAO Xin-rong; SONG Tian-shu; LIU Dian-kui

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(9): 976-982

CAO Xin-rong, SONG Tian-shu, LIU Dian-kui. Scattering of Plane SH-Wave by a Cylindrical Hill of Arbitrary Shape[J]. Applied Mathematics and Mechanics, 2001, 22(9): 976-982.

Citation:

CAO Xin-rong, SONG Tian-shu, LIU Dian-kui. Scattering of Plane SH-Wave by a Cylindrical Hill of Arbitrary Shape[J]. Applied Mathematics and Mechanics, 2001, 22(9): 976-982.

Citation:

CAO Xin-rong, SONG Tian-shu, LIU Dian-kui. Scattering of Plane SH-Wave by a Cylindrical Hill of Arbitrary Shape[J]. Applied Mathematics and Mechanics, 2001, 22(9): 976-982.

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Scattering of Plane SH-Wave by a Cylindrical Hill of Arbitrary Shape

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 Date: 2000-06-22
Rev Recd Date: 2001-04-08
Publish Date: 2001-09-15

Abstract

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. Further more 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).
- cylindrical hill of arbitrary shape,
- scattering of SH-wave,
- conjunction,
- conformal mapping

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References(7)

References

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