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运用对偶积分方程来求解刚性条形基础与层状横观各向同性地基的接触问题。从直角坐标系下平面应变问题基本控制方程出发，通过对坐标x的 Fourier 积分变换和 Cayley-Hamilton 定理推导出单层横观各向同性地基的传递矩阵。将单层地基传递矩阵结合层间连续性条件，推导出层状地基的传递矩阵解。利用刚性条形基础与层状横观各向同性地基接触的混合边值条件，推导出一组对偶积分方程，并应用 Jacobi 正交多项式将其转化为线性代数方程组，求解得到地基反力。编制了相应的计算程序，其计算结果与已有文献和有限元软件的结果基本吻合，并分析了地基横观各向同性性质与成层性对计算结果的影响。“,”A pair of dual integral equations are presented to solve the contact problem of a rigid strip footing on transversely isotropic layered soils. Based on the governing equations of plane strain problem in Cartesian coordinates, the transfer matrix can be obtained through the Fourier transform with respect to the coordinate variable x and the Cayley-Hamilton theorem. Then, the transfer matrix solution of layered soils is obtained in combination with the continuity conditions between two adjacent layers. Considering the mixed boundary conditions of the contact problem, a pair of dual integral equations are derived, which are further converted to linear equations by means of the Jacobi orthogonal polynomials. Finally, the subgrade reactions can be obtained by solving the linear equations. The results of numerical calculation carried out by the corresponding computer program agree fairly well with those by the existing references and FEM software. Further numerical examples are also presented to elucidate the influence of transverse isotropy and stratification of the soils.