The Ground Motion of Isosceles Triangular Hill in Right-Angle Plane Impacted by SH-Wave

Abstract:

The analytical solution to the problem of the scattering of SH-wave by isosceles triangular hill in right-angle plane is given by using the methods of complex function and multiple coordinate. Firstly, the solution region is divided into two domains, where domain I involves isosceles triangular hill and a semi-circular bottom, domain II involves a semi-circular hollow in right-angle plane. And a standing wave function is constructed which satisfies the zero-stress conditions at the triangular wedges. In domain II, the scattering wave functions which satisfy the stress free boundary conditions at the free surfaces for the right-angle plane are constructed. 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 are given and solved by truncation. Finally, some examples for amplitude of displacement on the surface are given. Numerical results show that amplitude of displacement on the surface is influenced by isosceles triangular hill.

• Periodical: Applied Mechanics and Materials (Volumes 121-126)
• Pages: 2363-2366
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.121-126.2363
• Online since: October 2011
• Authors: Hui Qi, Jing Guo, Jie Yang
• Keywords: Amplitude of Displacement on the Surface, Isosceles Triangular Hill, Match up, Right-Angle Plane, Sh Wave

References

[1] M.D. Trifunac: submitted to Earthquake Engineering and Structure Dynamic (1973).

[2] V.W. Lee, M.E. Manoogian: submitted to European Earthquake Engineering (1995).

[3] H. Lin, D.K. Liu: submitted to Earthquake Engineering and Engineering Vibration (2002).

[4] F.Q. Qiu, D.K. Liu: submitted to Journal of Harbin Engineering University (2007).

[5] Y. Shi, H. Qi and Z.L. Yang: submitted to Chinese Journal of Applied Mechanics (2008).