Lateral Dynamic Impedance of Partially Embedded End Bearing Friction Pile in Soil Described by Fractional Derivative Viscoelastic Model
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摘要: 利用Winkler弹簧-阻尼器来描述桩土之间的动力相互作用,得到了分数导数黏弹性(FDV)模型描述的土体的刚度系数和阻尼系数.利用传递矩阵法并考虑埋入部分和外露部分桩基的连续性条件,求解了基于FDV模型的土体中部分埋入端承摩擦桩的水平振动,得到了桩顶的水平动力阻抗.研究了分数导数的阶数、外露部分桩长和土体本构模型参数对桩水平振动的影响.研究表明:分数导数的阶数和本构模型参数对部分埋入桩的水平动刚度有一定的影响,而对其等效阻尼的影响很小;外露部分桩长对水平动力阻抗的影响较大Abstract: The dynamic interaction between pile and pile around soil was described by Winkler springdamping, and the stiffness and damping coefficients of the pile around soil were obtained. By considering the continuous conditions of the embedded part and exposed part of pile, the lateral vibration of partially embedded end bearing friction pile in fractional derivative viscoelastic soil was solved with transfer matrix method, and the dynamic impedance at pile head were obtained. The influence of the order of fractional derivative, length of exposed part of pile and constitutive model parameters on the lateral vibration of pile were investigated. It is shown that the order of fractional derivative and the constitutive model parameters had a certain influence on the horizontal dynamic stiffness, but had little influence on the equivalent damping, and the length of exposed part of pile had great effect on the horizontal dynamic impedance of the pile
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