Influences of layered transversely isotropy property of soils on rocking vibration of a rigid strip foundation

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (8) : 55-59.

AI Zhiyong1,2,REN Guangpeng1,2

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Abstract

Influences of transversely isotropy and layered property of soils on rocking vibration of a rigid strip foundation were analyzed.The total stiffness matrix for the plane transversely isotropic layered soils was obtained by employing the analytical layer-element method.Based on the mixed boundary conditions of the contact problem,a pair of dual integral equations was established.Meanwhile,with the aid of Jacobi orthogonal polynomials,the dynamic compliance coefficients could be obtained.Numerical results were carried out by computer programs.The results agree well with the present theory and existing references.Further numerical examples show that with the decrease of the ratio of horizontal elastic modulus to vertical elastic modulus of soils,the dynamic flexibility coefficient is getting larger.It is also demonstrated that the increase of the ratio of vertical shear modulus to elastic modulus and the increase of the ratio of horizontal Poisson’s ratio to vertical Poisson’s ratio will lead to the increase of the dynamic flexibility coefficient.Moreover,the decrease of the elastic modulus of the upper soil will lead to the increase of the dynamic flexibility coefficient.

Key words

rocking vibration / layered soils / transverse isotropy / dual integral equation

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AI Zhiyong1,2,REN Guangpeng1,2. Influences of layered transversely isotropy property of soils on rocking vibration of a rigid strip foundation[J]. Journal of Vibration and Shock, 2017, 36(8): 55-59

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