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Kinematic response of single piles to vertically incident P-waves

机译：单桩对垂直入射P波的运动响应

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Dynamic response of single piles to seismic waves is fundamentally different from the free-field motion because of the interaction between the pile and the surrounding soil. Considering soil-pile interaction, this paper presents a new displacement model for the steady-state kinematic response of single piles to vertically incident P-waves on the basis of a continuum model. The governing equations and boundary conditions of the two undetermined functions in the model are obtained to be coupled by using Hamilton's principle. Then, the two unknown functions are decoupled and solved by an iterative algorithm numerically. A parametric study is performed to investigate the effects of the properties of the soil-pile system on the kinematic response of single piles. It is shown that the effects of the pile-soil modulus ratio, the slenderness ratio of the pile, and the frequency of the incident excitations are very significant. By contrast, the influence of soil damping on the kinematics of the system is slight and can be neglected.
机译：由于桩与周围土壤之间的相互作用，单桩对地震波的动力响应与自由场运动从根本上不同。考虑到土-桩相互作用，本文提出了一种基于连续模型的单桩对竖向入射P波稳态运动响应的位移模型。利用汉密尔顿原理将模型中两个待定函数的控制方程和边界条件结合起来。然后，将两个未知函数解耦并通过迭代算法进行数值求解。进行了参数研究，以研究土桩系统特性对单桩运动响应的影响。结果表明，桩土模量比，桩的长细比和入射激发的频率的影响非常显着。相比之下，土壤阻尼对系统运动学的影响很小，可以忽略不计。

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