Abstract: By using a soil modeling of three axes symmetry and considering three dimensions wave effect,the pile's longitudinal vibration characteristic is analyzed on condition of elastic supporting.The frequency domain response of the pile head,complex stiffness and mobility can be obtained as well.According to the convolution theorem and Fourier inversing transforms,a semi-analytical solution of time domain response of velocity admittance is obtained on condition of a stimulating force of a half sine pulsation.

Key words: 3D wave effect, frequency domain response, complex stiffness, velocity admittarce

摘要： 从三维轴对称土模型出发,考虑桩周土体的三维波动效应,对弹性支承条件下桩的纵向振动特性进行分析,求解得到桩顶频域响应解析解、复刚度和速度导纳;利用卷积定理和傅里叶逆变换,求得半正弦脉冲激振力作用下桩顶速度导纳时域响应半解析解。

关键词: 三维波动效应, 频域响应, 复刚度, 速度导纳