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How to calculate the natural frequency of soil layer using ABAQUS?

How to calculate the natural frequency of soil layer using ABAQUS?

How to calculate the natural frequency of soil layer using ABAQUS?

(OP)
Dear all friends,

Well to be quite honest, I need natural frequencies (f1 & f2) of soil layer to calculate alpha and beta coefficients of Rayleigh damping. I have a soil deposit of 0.9m height, the mass density of 1800kg/m^3, poisson ration of 0.3 and modulus of elasticity of 40MPa. As a consequence, based on the f1=Vs/4H equation the first natural frequency is equal to 25.68Hz.

I want to model a soil deposit with above properties, however I do not know what dimensions I should choose for my transverse and longitudinal lengths to account for infinite lateral extent and that dimensions do not affect the natural frequencies. Also, I do not know what boundary conditions I should choose at base and lateral boundaries of my geometry. Should I fix base of my model in three directions and constrain my lateral boundaries in vertical (height of soil) direction?

Please guide me to overcome that problems.

I look forward to hear a positive response from you.

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