Propagation of partially coherent non-stationary random waves in a viscoelastic layered half-space |
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Authors: | Q. Gao J.H. Lin W.X. Zhong W.P. Howson F.W. Williams |
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Affiliation: | aDepartment of Engineering Mechanics, State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, PR China;bCardiff School of Engineering, Cardiff University, Cardiff CF24 3AA, Wales, UK |
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Abstract: | This paper presents a highly accurate method based on the precise integration method (PIM) and on the pseudo excitation method (PEM). The method computes the propagation behaviour of partially coherent non-stationary random waves in a viscoelastic, transversely isotropic solid, which consists of a multi-layered soil resting on a homogeneous semi-infinite space. The excitation source is a local rupture between two layers, which causes a partially coherent non-stationary random field. The analysis of non-stationary random wave propagation is transformed into that for deterministic waves by using PEM. The resulting governing equations in the frequency-wavenumber domain are linear ordinary differential equations, which are solved very precisely by using PIM. The evolutionary power spectral densities of the ground level responses are investigated and some typical earthquake phenomena are explained. |
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Keywords: | Layered half-space Precise integration method Pseudo excitation method Non-stationary random waves Wave propagation |
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