将地基视为多层各向同性弹性体，对Euler-Bernoulli梁进行有限单元离散分析，对地基-梁接触面采用边界积分法求解，根据地基-梁接触面的竖向位移协调和光滑接触条件，应用有限元与边界元耦合的方法推导出各向同性成层弹性地基上的Euler-Bernoulli梁的半数值半解析解。基于文中理论，编制了相应的程序，通过与现有文献对比，验证了文中理论的正确性，对比分析了分层地基与等效均匀地基两种模型上的弹性地基梁。研究结果表明，分层地基与等效均匀地基两种模型上弹性地基梁性状差异较大，实际弹性地基梁计算中应采用分层地基模型。

This paper presents a semi-numerical and semi-analytical solution to the problem of an Euler-Bernoulli beam on multilayered isotropic elastic soils by the coupling of the finite element method and the boundary element method on the basis of the cooperation of the vertical displacements and the frictionless contact at the soil-beam interface, where the subgrade is assumed as a multilayered isotropic elastomer, the finite element method is applied to model the beam and the boundary integral method at the soil-beam interface. Then a corresponding program is compiled on the basis of the present theory. By comparing the solutions of this paper with the existing solution, the accuracy of the present theory is verified. The responses of elastic beams on both layered foundation model and the equivalent homogeneous one are further analyzed and compared. The results show that the characteristics of the beam on layered foundation model differ greatly from those of the beam on equivalent homogeneous foundation model; so layered foundation beam model should be adopted in practical engineering.