Scattering of Circular Cavity in Right-Angular Planar Space to Steady SH-Wave

SHI Wen-pu; LIU Dian-kui; SONG Yong-tao; CHU Jing-lian; HU Ai-qin

Volume 27 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(12): 1417-1423

SHI Wen-pu, LIU Dian-kui, SONG Yong-tao, CHU Jing-lian, HU Ai-qin. Scattering of Circular Cavity in Right-Angular Planar Space to Steady SH-Wave[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1417-1423.

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Scattering of Circular Cavity in Right-Angular Planar Space to Steady SH-Wave

1.
Electromechanical Institute, Yantai University, Yantai, Shandong 264005, P. R. China;

Received Date: 2005-06-13
Rev Recd Date: 2006-05-08
Publish Date: 2006-12-15

Abstract

Abstract

Complex function method and multi-polar coordinate transformation technology are used here to study scattering of circular cavity in right-angular planar space to SH-wave with out-of-plane loading on the horizontal straight boundary. At first, Green function of right-angular planar space which has no circular cavity was constructed; then the scattering solution which satisfies the free stress conditions of the two right-angular boundaries with the circular cavity existing in the space was formulated, therefore, the total displacement field can be constructed using overlapping principle. An infinite algebraic equations of unknown coefficients existing in the scattering solution field can be gained using multi-polar coordinate and the free stress condition at the boundary of the circular cavity, it can be solved by using limit items in the infinite series which can give a high computation precision. An example was given to illustrate the variations of the tangential stress at the boundary of the circular cavity to different dimensionless wave numbers and the location of the circular cavity and the loading center and the distributing range of out-of-plane loading. The results of the example show the efficiency and the effectiveness of the method introduced here.
- scattering of SH-wave,
- circular cavity,
- dynamic stress,
- right-anglar planar space,
- multi-polar coordinate

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References

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