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《Acta Mechanica Solida Sinica》 2007-01
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THE GROUND MOTION OF AN ISOSCELES TRIANGULAR HILL ABOVE A SUBSURFACE CAVITY WITH INCIDENT SH WAVES

Liu Gang1,2 Liu Diankui1(1 Department of Civil Engineering,Harbin Engineering University,Harbin, 150001)(2 Department of Mechanics & Aerospace Engineering,College of Engineering,Peking University,Beijing,100871)  
In this paper,the ground motion of an isosceles triangular hill above a subsurface cavity with incident SH waves is studied based on 'conjunction'.The solution is divided into two domains,where domainⅠ involves an isosceles triangular hill and a hemi-circular bottom, domain Ⅱ is a half space with a hemi-circular canyon and a subsurface cavity. A standing wave function is constructed in domainⅠ,which satisfies the zerostress condition at the triangular wedges.In domain Ⅱ,two scattering wave functions which satisfy the conditions of stress-free at the horizontal surface are constructed.By using moving coordinate method in complex plane,the conditions of displacement continuity and stress equilibrium at the interface of the two boundary as well as the stress free condition at the subsurface cavity edge are realized.The result is acquired by constructing a set of infinite linear algebraic equations.Finally,some conclusions are drawn by numerical analysis.
【CateGory Index】: P315.31
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