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将桩和土体视为粘弹性介质,在频率域求得了桩轴对称纵向振动时动力响应的解析解,进而得到桩头复刚度的解析表达式.通过数值计算,给出了桩头动刚度因子和等效阻尼随激励频率的响应,考察了土层粘性、桩长径比、桩土模量比、桩泊松比和粘性等参数对桩头刚度因子和等效阻尼的影响.研究表明:由于考虑了桩的径向变形效应以及土层对桩的径向力作用,轴对称解析解的桩头动刚度因子和等效阻尼与经典Euler杆模型桩的桩头动刚度因子和阻尼有较大区别.因此,经典Euler杆模型桩的适用范围具有一定的局限性,在若干情形下应采用基于三维粘弹性的桩纵向振动轴对称模型进行分析.
The pile and soil body are regarded as viscoelastic medium, and the analytical solution of dynamic response of pile shaft symmetrical longitudinal vibration is obtained in frequency domain, then the analytical expression of complex stiffness of pile head is obtained. By numerical calculation, Factor and equivalent damping with the excitation frequency response to study the effect of soil viscosity, pile aspect ratio, pile-soil modulus ratio, pile Poisson ratio and viscosity on the stiffness factor of the pile head and the equivalent damping. : Considering the effect of radial deformation of pile and the effect of soil on the radial force of pile, the dynamic stiffness factor of pile head and equivalent dynamic damping of axial symmetry analytical solution are similar to those of classical Euler rod pile Therefore, the applicability of the classical Euler pole model pile has some limitations, and in some cases, the three-dimensional viscoelastic pile longitudinal vibration axisymmetric model should be used for analysis.