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。
The lateral dynamic characteristics of a pipe pile in a viscoelastic soil layer are investigated. The soil is simulated using three-dimensional viscoelastic theory; and the pipe pile is modeled as an Euler-Bernoulli beam. The governing equations of the outer and inner soil are uncoupled without utilizing potential functions. The solutions are obtained by separate variable method. The lateral displacement of the pipe pile is derived based on the continuity conditions between the pipe pile and the soils. The lateral dynamic complex impedance of the pipe pile is determined. The proposed solution can be reduced to a solid pile solution. The proposed method is validated by comparing the calculated results with existing solutions. Parametric studies are conducted to study the influences of the moduli, densities of the outer and inner soil as well as the pile length on the complex impedance.