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从土体三维波动方程出发,将管桩看作一维欧拉-伯努利梁,对黏弹性地基中管桩水平振动响应进行了理论研究。摒弃传统的设立势函数法,而采用微分变换直接对土体振动方程进行解耦,并结合分离变量法求得了桩周土和桩芯土位移和应力表达式,进而利用管桩与桩周土和桩芯土接触界面的耦合连续条件得到桩的位移解析解,给出了管桩桩顶水平动力复阻抗表达式。将所得解完全退化到实心桩解,并与现有文献进行对比,验证了所提方法的合理性。通过参数分析,研究了桩周土、桩芯土剪切模量和密度以及管桩桩长对管桩桩顶复阻抗的影响。
Based on the three-dimensional wave equation of soil, the tube pile is regarded as a one-dimensional Euler-Bernoulli beam, and the horizontal vibration response of pipe pile in viscoelastic foundation is theoretically studied. Discarding the traditional method of establishing potential function, the differential equations are used to directly decouple the soil vibration equations. The displacements and stress expressions of the soil around the pile and the pile core are obtained by using the method of separation variables. Then, And the pile-soil contact interface, the displacement of the pile is obtained. The expression of the horizontal impedances of the pipe pile top is given. The solution was completely degenerated to solid pile solution, and compared with the existing literature to verify the rationality of the proposed method. Through parametric analysis, the influence of the shear modulus and density of the soil around the pile and the pile-soil on the top and bottom complex impedance of the pipe pile is studied.