| Summary: | 碩士 === 國立聯合大學 === 土木與防災工程學系碩士班 === 104 === This study seeks to find the transient responses for SH wave propagation in transversely isotropicdipping layered media by the generalized ray theory.The theme is divided into three parts.In the first part the ray integrals of transient responses in the parallel layered media are derived first.The second part is then that the integrals are modified to adapt to the case in dipping layered media, which mainly differences exist in their phase functions and reflection and transmission coefficients. These derived coefficients are available both in the cases for the transversely isotropic media being symmetry to the free surface or the dipping interface. To the third part the inverse transform of each ray integral is solved by the Cagniard method to obtain the fundamental displacement solutions of impulsive and Heaviside step source time functions, even the general displacement solutions for arbitrary source time functions. We find that the problem is more complex for SH wave response in transversely isotropicdipping layered mediathan those in parallel or isotropic media, which including the effects and solutions due to the symmetry of transversely isotropicdipping layered media, and the huge differences in their phase functions and reflection and transmission coefficients. Moreover thenumerical results show that the anisotropy and the dipping angle have big influencesin their arrival times and displacementscausing the peaks and waveforms quite different.
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