变截面阻抗桩受迫振动问题解析解及应用

AN ANALYTICAL SOLUTION TO FORCED VIBRATION OF FOUNDATION PILE WITH VARIABLE SECTION IMPEDANCE AND ITS APPLICATION

本文通过对基桩缺陷进行概化处理,利用δ-函数建立了桩长有限、桩端为弹性支承时,考虑桩侧土作用,桩顶受纵向激振条件下,非完整桩(截面声阻抗发生突变状态下,有两个突变界面)受迫振动的定解问题,然后求得了稳态正弦及瞬态半正弦激振条件下的解析解,并对所得解进行了研究分析.最后,将瞬态激振条件下得到的理论曲线与反射波法测得的现场实测曲线进行了拟合对比.

By generalizing the defects of foundation pile and using function, the model describing the longitudinal forced vibration of foundation pile with variable cross section impedance and of finite length is established and the corresponding analytical solution is developed, in which, the pile is elastically supported at its tip and the soil effect surrounding the pile shaft is taken into account. The influences of main factors on the vibration are then studied, and some important conclusions are drawn. Finally, it is shown that the theoretical curves are in good agreement with those obtained from field measurements by signal matching.