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采用有限元(FEM)与间接边界元(BEM)耦合法,求解冲刷作用下层状横观各向同性地基中高承台群桩的水平振动响应。采用三节点梁单元对群桩进行离散;然后,基于层状横观地基频域内的解答,以及考虑桩–桩相互作用,建立了地基积分方程;再通过对积分方程离散和数值求解,得到地基的柔度矩阵;根据桩土之间的协调条件,推导出群桩与地基共同作用的方程;通过引入各基桩桩顶的边界条件,获得共同作用方程的解答。最后,通过相关数值算例,验证本文理论及结果的正确性,并讨论冲刷深度对群桩水平振动响应的影响。
The FEM coupled with the indirect boundary element (BEM) coupling method is used to solve the horizontal vibration response of pile groups with high captive piles in the layered transversely isotropic subgrade subjected to scouring. Then the pile foundation is discretized by using the three-node beam element. Then, based on the solution of stratified cross-section foundation frequency domain and considering the pile-pile interaction, the ground-based integral equation is established. By discrete and numerical solution of the integral equation, According to the coordination conditions between pile and soil, the equations of interaction between pile groups and ground are deduced. By introducing the boundary conditions of pile tops, the solution to the interaction equation is obtained. Finally, the numerical examples are used to verify the correctness of the theory and results in this paper. The effect of erosion depth on horizontal vibration responses of pile groups is also discussed.