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建立了成层土中考虑桩端和桩侧土作用的有限长桩在任意激励力作用下的定解问题 ,并用拉氏(Laplace)变换和阻抗传递函数求得任意层土中桩顶速度和位移响应函数的解析表达式 ,然后利用卷积定理和付里叶 (Fourier)逆变换求得半正弦脉冲激振力作用下桩顶的速度时域响应的半解析解 (积分形式解 )。并就成层土中的桩侧和桩底土的特性的变化对桩纵向振动特性的影响作了进一步的研究。
The solution to the problem of finite pile considering the effect of pile tip and pile side soil in layered soil under arbitrary excitation force is established. The pile top velocity and the velocity of pile in any layer of soil are obtained by Laplace transform and impedance transfer function Then, the semi-analytical solutions (integral formal solution) of the pile roof velocity-time response under the action of half-sine pulse excitation force are obtained by convolution theorem and Fourier inverse transform. The influence of the change of the pile side and the subsoil in the layered soil on the longitudinal vibration characteristics of the pile is further studied.