Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media

Han Feng; Liu Diankui

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(8): 753-761

Han Feng, Liu Diankui. Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1997, 18(8): 753-761.

Citation:

Han Feng, Liu Diankui. Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1997, 18(8): 753-761.

Citation:

Han Feng, Liu Diankui. Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1997, 18(8): 753-761.

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Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media

Han Feng¹,
Liu Diankui²

1.
Department of Mechanics and Engineering, Beijing Institute of Technology, Beijing 100081, P. R. China;
2.
Departmet of Aerospace Engineering, Harbin Engineering University, Harbin 150001, P. R. China

Received Date: 1994-02-18
Rev Recd Date: 1996-11-22
Publish Date: 1997-08-15

Abstract

Abstract

The purpose of this paper is to use the conforma mapping method^[1] to analyzeand evaluate the ground displacement and scattering of incident SH-waves, on thesurface of semi-canyon topography of arbitrary shape with lining in anisotropic media.The problem to be solved can be reduced to the solution of an infinite algebraicequation set by using the method of full-space expansion of Fourier progression Usingthe mapping function and scattering theory to solve problems due to semi-canyon topography with lining is just like mapping the semi-cylindrical canyon of arbitrary shape into a cylindrical canyon in full-space.Moreover,it is far practical in engineering practice.From the computational examples,it is obvious that the variation of displacement amplitudes on the surface near the canyon topography is rather sharp. especially when the freqencies of incident SH-waves increase.
- anisotropic media,
- SH-wave,
- displacement amplitude,
- canyon topography with lining

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References(5)

References

[1]	D. K. Liu, B. Z. Gai and G. Tao, Application of the method of complex function todynamic stress concentrations, Wh ve Motion, 14 (1982), 293.
[2]	M. V. Nasser and M. D. Trifunac, Scattering of plane SH-waves by cylindrical canals ofarbitrary shape, Soil. Dyn. and Ear. Eng., 4, 1 (1985), 18~23.
[3]	Lui Diankui and Han Feng, The scattering of plane SH-waves by non-circular cavity inanisotropic media, ASME Journal of Applied Mechanics, 60 (1993), 769.
[4]	Y. H. Pao and C. C. Mow, 《单性波的绕射和动应力集中》,刘殿魁、苏先越译,科学出版社(1993).
[5]	Liu Diankui and Han Feng, Scattering of SH-waves by cylindric canyon of arbitraryshape, Soil. Dyn. and Ear. Eng., 10, 5 (1991), 249~255.