横观各向同性饱和土中单桩竖向振动的简化模型求解

基于饱和多孔介质理论,将土体视为横观各向同性饱和两相介质,利用分离变量法求解了横观各向同性饱和土层的竖向振动,在此基础上建立横观各向同性饱和土中单桩竖向振动的控制方程,借助桩端边界条件和三角函数的正交性对桩竖向振动问题进行了求解,并分析了相关参数对竖向振动的影响。研究表明:桩-土系统存在共振现象,复刚度的变化受激振频率的影响较大;在高频和低频时,各向异性参数对动刚度的影响不同,各向异性参数越大,复刚度的峰值越小。

Solution of longitudinal vibration of pile in transversely isotropic saturated Soil Based on Simple Model

Based on porous medium theory, used separation of variables, the longitudinal vibration of soil is solved by seeing soil as transversely isotropic saturated porous medium, and established the control equations of longitudinal vibration of saturated soil layer. The solution of the vertical vibration of the pile in transversely isotropic saturated is obtained by considering the continuous conditions at the soil-pile and the orthogonality of trigonometric functions, and also analyzed the effect of parameters on vertical vibration of the pile. The results indicate that there is resonance for pile-soil system, and the frequency has great effect on complex stiffness, the peak of complex stiffness decreases as the anisotropy parameter is increased.