均质弹性地基中单桩的扭转振动特性研究

Research on torsional oscillation characteristics of single pile embedded in isotropic elastic foundation

利用积分方程的方法研究了均质弹性地基中单桩的扭转振动问题。在分析过程中,首先利用积分变换的方法得出均质弹性地基内作用一埋置扭矩时的基本解。基于基本解,根据变形协调条件建立了控制单桩扭转振动特性的第2类Fredholm积分方程。对所得积分方程进行数值求解得到单桩扭转振动时的扭矩和扭转角及动力柔度系数,并对其进行了参数分析。所得结论对桩基础设计与计算以及桩基低应变扭转波动测技术有一定的指导意义。

Torsional oscillations of a single pile embedded in isotropic elastic foundation are investigated by means of integral equation methods. Firstly, the fundamental solutions of the isotropic elastic foundation subjected to an embedded harmonic torque are obtained using integral transform methods. Then, based on the fundamental solutions and compatibility conditions, the Fredholrn integral equation of the second kind is established. After the numerical solution of the integral equation, the torque, torsional angle and dynamic compliance coefficients of the pile can be obtained and parameterized. The conclusions obtained have some guidelines for the design, calculation and the low strain dynamic torsional wave testing of pile foundations.