本文求解了层状粘弹性饱和土地基与上部结构共同作用问题。对Biot固结方程引入McNamee位移函数,并进行Laplace-Hankel变换,建立了单层饱和土的初始函数和半空间饱和土的刚度矩阵,得到层状地基的递推矩阵。利用递推矩阵、子结构法、薄板理论、边界条件、变形协调条件可以建立共同作用的基本方程并进行求解。本文通过算例分析验证了本方法的正确性,并分析研究了下卧软弱层对基础沉降和上部结构内力的影响。 This paper solves the problem of the interaction between the layered viscoelastic saturated soil foundation and the superstructure. The Biot consolidation equation is introduced into the McNamee displacement function and Laplace-Hankel transform. The initial function of single-layer saturated soil and the stiffness matrix of half-space saturated soil are established, and the recursive matrix of layered soil is obtained. The recursive matrix, substructure method, sheet theory, boundary conditions and deformation coordination conditions can be used to establish and solve the basic equations. In this paper, the correctness of this method is verified by an example analysis, and the influence of the lower weak layer on the foundation settlement and the internal force of the superstructure is analyzed.