The analytical solution to the problem of the scattering of SH-wave by scalene triangular hill in right-angle plane is given by using the methods of complex function and moving coordinate system. Firstly, the solution model was divided into two domains, where domain I involved scalene triangular hill and a semi-circular bottom, domain II involved a semi-circular hollow in right-angle plane. The key in this paper was to construct the standing wave function which satisfied the zero-stress conditions at the scalene triangular wedges and the scattering wave functions which satisfied the stress free boundary conditions at the free surfaces for the right-angle plane respectively. Secondly, based on the conditions of the displacement continuity and stress continuity at the “common border” in the domains, a series of infinite algebraic equations were given and solved by truncation. Finally, some examples for amplitude of displacement on the surface were given. Numerical results show that amplitude of displacement on the surface is influenced by incident angle, incident wave number and vertical boundary in right-angle plane.
QI Hui;GUO Jing;YANG Jie.
Scattering of SH-wave and ground motion by scalene triangular hill in right-angle plane[J]. Journal of Vibration and Shock, 2012, 31(18): 157-162
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