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在考虑土体分层特性的基础上,分别建立了管桩桩周土体和桩芯土体的水平振动控制方程。通过引入势函数并考虑桩周土和桩芯土径向位移和环向位移的边界条件及其奇偶性,求得了管桩-土动力相互作用的刚度系数和阻尼系数。将土体模拟为连续分布的弹簧-阻尼器,并考虑桩芯土和桩周土的作用,建立了层状土中管桩的水平振动方程。借助初参数法和传递矩阵法求解了管桩的水平振动,得到了管桩桩顶的水平动力阻抗。通过数值分析,得到了土层剪切模量、管桩壁厚、桩周土和桩芯土剪切模量比、土层厚度等对管桩桩顶动力阻抗的影响规律。土层剪切模量、管桩壁厚、桩周土和桩芯土剪切模量比对层状土中管桩水平振动的影响主要在低频处,土层厚度在较宽的频率范围内对管桩水平振动有影响;管桩壁越厚,桩周土的剪切模量越大时,管桩水平动力阻抗的绝对值越大。
Based on the stratification of soil, the governing equations of horizontal vibrations of the soil around the pipe pile and the pile core are established. By introducing the potential function and considering the boundary conditions of radial and circumferential displacements of the soil around the pile and its parcels, the stiffness and damping coefficients of the pipe-soil dynamic interaction are obtained. The soil is simulated as a continuous distribution of spring-damper, and considering the effect of pile core soil and surrounding soil, the horizontal vibration equation of pipe pile in layered soil is established. The horizontal vibration of pipe pile is solved by means of initial parameter method and transfer matrix method, and the horizontal dynamic impedance of pipe pile top is obtained. Through numerical analysis, the influence law of shear modulus, pipe wall thickness, shear modulus ratio of soil around piles and pile thickness, soil thickness on the dynamic impedance of pipe pile top is obtained. The influence of shear modulus of soil layer, wall thickness of pipe pile, shear modulus of soil around piles and pile-core on the horizontal vibration of pipe pile in layered soil is mainly at low frequency. The thickness of soil layer is within a wide frequency range The horizontal vibration of the pile has an impact; the thicker the pile wall, the greater the shear modulus of the soil around the pile, the greater the absolute value of the horizontal dynamic impedance of the pile.