Transient and Steady-state Responses of Anisotropic Multilayered Media Subjected to Dynamic Anti-plane Loading
碩士 === 淡江大學 === 航空太空工程學系 === 91 === In this paper, the transition from transient response to steady state for anisotropic multilayered media subjected to harmonic anti-plane loading is investigated in detail. In order to solve the complicated anisotropic problem, a linear coordinate transformation i...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2003
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| Online Access: | http://ndltd.ncl.edu.tw/handle/30463208853551252474 |
| Summary: | 碩士 === 淡江大學 === 航空太空工程學系 === 91 === In this paper, the transition from transient response to steady state for anisotropic multilayered media subjected to harmonic anti-plane loading is investigated in detail. In order to solve the complicated anisotropic problem, a linear coordinate transformation is introduced and used to transform the anisotropic layered medium problem to the isotropic case. The geometric configuration in the isotropic case is similar to that in an anisotropic material. The relationship between field quantities of the anisotropic problem and the corresponding isotropic problem is established for Cartesian coordinate system. The corresponding transient responses would be obtained by the convolution of harmonic loading function with transient solutions derived analytically by Ing and Chen (2003). Finally, the steady-state problem is solved by the wave number integral representation. In order to study the transition phenomena in detail, the numerical examples of a layered half-space are considered and evaluated.
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