端承桩与土纵向耦合振动时桩顶响应解析研究

Analytical study on interaction between dynamically loaded single bearing piles and soil

通过建立和求解定解问题,对粘弹性土层中端承桩与土的耦合振动问题进行了解析理论研究.求解中利用拉普拉斯变换,对在严格考虑桩土纵向耦合振动条件下的、在任意激振力作用下的端承桩桩顶频域及时域响应进行了解析求解.推导求得了桩顶位移、速度频域响应、桩顶复阻抗的解析表达和桩顶时域响应半解析表达,并通过土层参数影响分析,探讨了桩顶复阻抗的变化特性,并得到相应结论.

By Laplace transformation, the interaction between a soil layer and an end bearing pile and the dynamic response of the pile head is theoretically investigated first. The displacement and velocity response function at the pile head in frequency domain and dynamic stiffness of pile are obtained in a closed form. A semi-analytical solution for the velocity response of pile in time domain is also developed. Based on the solution, the characteristic of dynamic stiffness response at the pile head are discussed, and some important conclusions are developed here.