广义Maxwell体土模型条件下粘弹性桩纵向振动的半解析解及应用

Vibration of Viscous-elastic Pile Embedded in Soils with general Maxwell Model and its application

研究考虑桩身材料阻尼 ,桩侧土采用广义Maxwell模型条件下 ,均质土中不均匀桩 (截面面积或材料性质在桩长方向上突变 )的纵向振动特性 ,求得了瞬态半正弦脉冲荷载作用下 ,桩顶频域响应的解析解及时域响应的半解析解 ,分析了桩身材料阻尼及土质变化对桩顶时域、频域响应曲线的影响 ,得到了有关新的结论。通过本文理论结果与实际工程桩的实测曲线的拟合对比 。

In this paper, vibration of inhomogeneous viscous-elastic pile is studied and a new theory is developed, in which surrounding soils are described with general Maxwell models. In detail, it is that many Maxwell bodies are connected in series. Then, a series of analytical responses in frequency of transient half cycle sine wave shaped excitation on pile top. Based on this, several figures are prepared to illustrate influences of pile viscosity and soil parameters on the responses, and some important conclusions are drawn for pile integrity test. It is shown that interfaces between adjacent soil layers have little influence on response of pile top and that effects of pile viscosity on the response are different from these of damping of soil around pile. It is proved that the new theory is more perfect than the current one and that the theoretical curves are in good agreement with that of field measurement by two matching examples between measured curves and theoretical curves.