变截面桩扭转振动与纵向振动桩顶响应对比研究

利用拉普拉斯变换,对严格考虑桩土扭转耦合振动条件下,桩顶受到任意激振扭矩作用的弹性支承桩桩顶频域及时域响应进行解析求解,推导求得了桩顶速度频域响应的解析表达式和半正弦脉冲激励作用下的桩顶速度时域响应半解析解;将本文所得严格解与纵向振动严格解的桩顶速度频域和时域理论解进行对比研究,得到若干重要结论.研究成果为桩基检测中纵向振动测桩的不足给以补充.

Study on theories between torsional vibration and longitudinal vibration response of dynamically variable section piles

Considering the interaction between visco-elastic layered soils and a variable section pile or a multi-defective pile with arbitrary bottom boundaries and the dynamic response at the pile head to an arbitrary dynamic torsque is theoretically investigated.And by Laplace transforms and the transmit property of impedance function,the analytical expression of the solutions of velocity response function in frequency domain and in time domain at the pile head are derived.The characteristic of interaction between soil layers is also theoretically investigated here.The comparison between theories solutions developed in this paper and vertical vibration are investigated,and some important conclusions are obtained.Research results can be providing a theoretical foundation to improve detection support.