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建立了均质土中考虑桩端和桩侧土作用的有限长桩 ,在桩身存在任意段变截面时 ,桩顶受纵向激励情况下的定解问题 ,用拉氏变换 (Laplace)求得桩顶阻抗函数和速度频率响应函数 ,然后利用卷积定理和傅里叶 (Fourier)逆变换求得任意激振力作用下桩顶速度响应的半解析解 ,并对缩颈、扩颈等截面突变桩以及截面连续变化桩的振动特性作了进一步的研究。
A finite length pile considering the effect of pile tip and pile side soil in homogeneous soil is established. The solution to the problem of pile top subjected to longitudinal excitation when there is any section of pile body is obtained by Laplace transform Pile top impedance function and velocity frequency response function, and then using the convolution theorem and Fourier inverse transform to obtain the semi-analytical solution of pile top velocity response under arbitrary exciting force. The sudden change of pile and the continuous change of pile section vibration characteristics have been further studied.