Ground motions around a deep semielliptic canyon with a horizontal edge subjected to incident plane SH waves |
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| Authors: | Deng-How Tsaur Kao-Hao Chang Ming-Sheng Hsu |
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| Institution: | 1.Department of Harbor and River Engineering,National Taiwan Ocean University,Keelung,Republic of China;2.Department of Civil Engineering,Chung Yuan Christian University,Taoyuan,Republic of China |
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| Abstract: | We study scattering of antiplane shear waves induced by a deep semielliptic canyon with a horizontal edge. We employ the region-point-matching technique to cope with the problem considered. Through an auxiliary boundary, a part of the circumference of a semiellipse, the whole analyzed region is divided into two subregions. We express the displacement fields in terms of Mathieu functions. We unify two distinct elliptic coordinates via a simple coordinate transformation relation. Integration of the coordinate transformation relation into the region-point-matching technique simplifies the procedure for constructing simultaneous equations. Imposing the continuity conditions and traction-free ones, we obtain the expansion coefficients. Frequency-domain results demonstrate ground motion variability based on several key factors. Ground surface responses under seismic shaking are also simulated in the time domain. |
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