Time domain semi-analytical method for horizontal vibration of pile foundation in saturated clay foundation

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (13) : 90-97.

LIU Jun1, WANG Li’an2, GUO Feng3

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Abstract

Under the framework of Biot porous media theory, a fractional order Kelvin model is used to describe the rheological effect of soil skeleton, and a coupled vibration model of saturated clay and pile foundation is constructed. The Laplace transform is used to derive the analytical solution of the control equation in the transformation domain, and then the time-domain solution is obtained through numerical inversion.By analyzing numerical examples, the displacement and internal force response of pile foundations under horizontal vibration loads, as well as the influence of parameters, are studied. The results show that the displacement and internal force response of pile foundation vibration in saturated clay foundation have a delay effect. The stronger the rheological properties of the foundation soil, the more obvious the delay effect, and the lower the load frequency, the more significant the influence of rheological properties on the delay effect. The stronger the rheological properties of the soil, the smaller the displacement amplitude of pile foundation vibration, and the higher the load frequency, the greater the decrease in displacement amplitude. The stronger the rheological properties of the soil, the smaller the positive bending moment of the pile body, while the negative bending moment increases. Both positive and negative shear forces increase, but the shear force at the top of the pile is not affected.

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saturated clay / pile foundation / horizontal vibration / rheologic effect / Laplace transform

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LIU Jun1, WANG Li’an2, GUO Feng3. Time domain semi-analytical method for horizontal vibration of pile foundation in saturated clay foundation[J]. Journal of Vibration and Shock, 2024, 43(13): 90-97

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