基于幂级数解的非均质地基群桩沉降混合解法

以剪切刚度系数随深度呈指数非线性变化考虑地层非均质性,引入剪切位移法导得了群桩中各基桩桩侧摩阻力在桩周土中产生的位移场,并考虑各桩体存在引起的位移折减,建立了桩-桩相互作用模型.在此基础上,建立了各基桩的荷载传递微分方程,并采用幂级数法对方程求解,从而提出了一种非均质地基群桩沉降的混合解法.该方法可较好地模拟桩周土层的非均质性及各桩间遮帘效应,且编程求解过程简单、便于应用.最后,通过与已有文献算例结果的对比,验证了该文方法的合理性.

A MIXED SOLUTION FOR THE PILE GROUP SETTLEMENT IN NON-HOMOGENEOUS FOUNDATION

A new method for calculating the settlement of group piles in non-homogeneous soils is presented in this study. Firstly, assuming the shear stiffness coefficient of the non-homogeneous soils grows exponentially with the increase of depth, the stress field caused by frictional resistant along piles is obtained by using the shear deformation method, and the model for calculating the interactions between piles is built. And on that basis, the load transfer method is used to deduce the fundamental differential equation of piles, which is solved by power series solution. Therefore, the new method for calculating the settlement of group piles is obtained and it can take into account the blind-effect between piles and the non-homogeneous characteristics of soils. Meanwhile,the programming process is simple and convenient for application. Finally, the feasibility of the present method is proved through comparing the results of the two examples.