基于Timoshenko梁模型的完整桩瞬态横向振动模拟计算

Simulation and calculation of transient lateral vibration of integrate piles based on Timoshenko beam

文章把桩身当作Timoshenko梁,桩周土当作Winkler地基,推导出该桩土系统横向振动下的运动微分方程;采用有限差分法求出数值解,计算出桩顶横向振动速度理论曲线;将计算所得到的理论曲线和Ber-noulli-Euler梁的桩顶横向振动速度理论曲线同时与试验桩实测曲线对比,结果表明,在研究低应变横向动力测桩时,采用Timoshenko梁模型是必要的。

The pile is assumed to be a Timoshenko beam, and the soil around the pile is treated as Winkler foundation. The motion differential equation of this pile-soil system under lateral vibration is derived. Numerical solution is obtained by the finite difference method, and the theoretic velocity curve of the lateral vibration on the top of the pile is worked out. The obtained theoretic velocity curve and that of Bernoulli-Euler beam are compared to the actual velocity curve of test pile, and the result indicates that the adoption of Timoshenko beam model in low strain lateral dynamic testing of pile is necessary.