机构地区: 浙江大学
出 处: 《岩石力学与工程学报》 2006年第z2期4233-4240,共8页
摘 要: 建立单层饱和土中桩竖向振动的简化模型,基于Biot理论和一维杆件理论,利用势函数分解方法对桩土系统解耦,获得桩土完全接触条件下桩土耦合振动的频域解析解的显式表达,分析桩竖向振动特性的主要影响因素。将提出的简化模型解与饱和半空间中桩振动的积分方程解进行对比,讨论桩底支承刚度的取值。该解析解与边界元解的对比以及退化为单相介质后与单相介质有限元解的对比,均表明其具有较高的精度,可以满足工程要求。 The vertical vibration analysis of a pile embedded in soil has been applied in machinery foundations,structures exposed to seismic excitation and dynamic pile testing.In past several decades,some models have been developed.But in many casest,he soil was viewed as a monophasic medium.In this papera,simplified method for analyzing axisymmetric elastodynamic problem of a single pile in single-layer saturated soil is developed.The soil is viewed as a poroelastic solid saturated with fluid;and its motions is governed by field equations originally presented by M.A.Biot.The pile is dealt with one-dimensional bar.By means of elastodynamic and variable separation methods,the traction between pile and soil is obtained considering the perfect contact;and then the analytical solutions of the pile-soil system are finally derived.The complex stiffness of the pile in frequency domain is computed for illustrating the dynamic responses of the pile-soil system in a wider frequency range.Numerical results show that the effects of the moduli ratio of pile and soil on the pile dynamic stiffness are significant at lower frequency as well as the reaction parameter of pile toe.By comparing numerical results of present solution with the poroelastic half-space solution,it can be concluded that the two solutions agree well with each other when reasonable reaction parameters of pile toe are chosen.Furthermore,when the present solution degenerates to a monophasic solution,the result compared with that of finite element also shows that the former can agree well with the latter.