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考虑土体材料的黏性阻尼和桩-土体系的扭转耦合振动,研究了成层黏弹性地基中管桩的扭转振动问题.首先,采用分离变量法求解得到土体扭转振动位移形式解;然后利用阻抗函数传递方法,求解得到了成层地基中桩顶阻抗函数的解析解;最后通过数值算例分析了桩周土与桩芯土的物理力学参数、管桩壁厚以及桩端阻抗函数对管桩桩顶复刚度的影响.分析结果表明,在动力基础设计所关注的低频段,桩周土的剪切模量和黏性阻尼系数对桩顶复动刚度的影响要远大于桩芯土;桩端位移阻抗函数的选取对桩顶复刚度有明显的影响.
Considering the viscous damping of soil material and the torsional coupled vibration of pile-soil system, the torsional vibration of pipe pile in layered viscoelastic soil is studied. Firstly, the displacement solution of torsion vibration of soil mass is solved by the method of separation variables. Then, The impedance function transfer method is used to obtain the analytic solution of the top impedance function of pile foundation in layered soils. Finally, numerical examples are given to analyze the physical and mechanical parameters, the pile wall thickness and the impedance function of pile tip The results show that the influence of shear modulus and viscous damping coefficient of soil around the pile on the complex stiffness of pile top is far greater than that of pile core soil The selection of displacement impedance function of pile tip has obvious influence on the complex stiffness of pile top.