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基于Fourier变换域内直角坐标系下3D横观各向同性单层地基的控制方程,借助于降阶法,推导出单层地基非耦合的精确刚度矩阵即解析层元,然后根据有限层法原理并引入相应的边界条件,组装并求解总体刚度矩阵,最后通过Fourier逆变换技术获得物理域内的真实解答。编制了相应的Fortran程序进行数值计算,并与ABAQUS模拟结果进行对比以验证本文方法及结果的正确性,计算分析结果表明:地基的横观各向同性特性与成层特性对地基的沉降有较大的影响。
Based on the governing equations of the 3D transversely isotropic monolayer foundation in Cartesian coordinates in the domain of Fourier transform, with the aid of the reduced order method, the exact stiffness matrices of uncoupled monolayer foundations are analytic tiers, and then according to the principle of finite layer method The corresponding boundary conditions are introduced, the overall stiffness matrix is assembled and solved, and finally the real solution in the physical domain is obtained by Fourier inverse transform. The corresponding Fortran program was developed for numerical calculation and compared with the ABAQUS simulation results to verify the correctness of the method and results. The calculation and analysis results show that the transversely isotropic and stratified properties of the foundation have more effect on the foundation settlement Big impact