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基于已建立的横向激励下单桩的非线性动力学模型,利用单桩的运动方程和多尺度方法,求得单桩的主共振幅频响应方程。进而基于Vlasov地基模型及确定群桩相互作用系数的经验方法,得到弹性地基参数的修正值。最后,运用两桩基础的幅频响应曲线、桩端横向位移演变值和桩身剪力变化情况研究了群桩效应对桩基主共振响应的影响,同时分析了边界条件对群桩效应作用的影响。结果表明:群桩效应会导致基桩主共振响应更复杂,且其影响的发挥与桩端约束、桩间位置关系等因素均密切相关。
Based on the established nonlinear dynamic model of single pile under transverse excitation, the equation of the main resonance frequency response of the single pile is obtained by using the motion equation and multi-scale method of single pile. Based on the Vlasov foundation model and the empirical method of determining the interaction coefficient of pile groups, the correction value of elastic foundation parameters is obtained. Finally, the effects of pile groups on the main resonance of pile foundation are studied by using the amplitude-frequency response curves of the two foundations, the evolution values of pile-tip lateral displacements and the shear of pile body, and the effect of boundary conditions on pile group effects influences. The results show that the pile group effect causes the main resonance response of the pile foundation to be more complex, and its influence is closely related to the pile end restraint and the pile position relationship.