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考虑地基沉积过程中产生的竖向和水平向力学性质的差异,对横观各向同性地基中管桩扭转振动频域响应进行了理论研究。基于横观各向同性材料的本构关系以及桩-土耦合扭转振动,建立了桩土系统定解问题,通过Laplace变换和分离变量法求得了桩周土和桩芯土扭转振动位移形式解。通过桩-土接触面的连续条件,求得了管桩扭转频域响应解析解,并得到了桩顶复动刚度和速度导纳的表达式。将所得解退化到横观各向同性地基中实心桩解以及均匀地基中管桩解,并与已有文献进行了对比,验证了解的合理性。通过数值算例,分析了桩周土和桩芯土的横观各向同性力学参数对桩顶扭转复刚度及速度导纳的影响。
Considering the differences of vertical and horizontal mechanical properties during the foundation deposition, the frequency response of torsional vibration in the transversely isotropic subgrade is theoretically studied. Based on the constitutive relationship of transversely isotropic material and the torsional vibration of pile-soil coupling, a solution to the problem of pile-soil system is established. The solution to torsional vibration of soil around the pile and pile core is derived by Laplace transform and separation variables method. Through the continuous condition of pile-soil contact surface, the analytic solution of torsional frequency domain response of pipe pile is obtained, and the expressions of the reciprocating stiffness and velocity admittance of pile top are obtained. The solution is degenerated into the solid pile solution in the transversely isotropic foundation and the pipe pile solution in the uniform foundation. Compared with the existing literature, the rationality of the solution is verified. The influence of transverse isotropic mechanical parameters on the torsional stiffness and velocity admittance of pile top is analyzed by numerical examples.