The Green’s functions of a vertically inhomogeneous soil with a random dynamic shear modulus |
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Authors: | M. Schevenels G. Lombaert G. Degrande D. Degrauwe B. Schoors |
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Affiliation: | aK.U. Leuven, Department of Civil Engineering, Kasteelpark Arenberg 40, B-3001 Leuven, Belgium |
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Abstract: | This paper deals with the study of the Green’s functions of a layered soil with random characteristics. The dynamic shear modulus of the soil is modelled as a non-Gaussian random process that varies in the vertical direction and is characterized by a marginal probability density function and a correlation function. The stochastic finite element method is applied to a hybrid thin layer — direct stiffness formulation in order to obtain the stochastic system equations, which are solved by means of a Monte Carlo simulation. The influence of the variations of the dynamic shear modulus on the Green’s functions is illustrated for different excitation frequencies and receiver positions. |
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Keywords: | Green’ s functions Stochastic finite element method Non-Gaussian random process Monte Carlo simulation |
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