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通过解耦变换推导出三维直角坐标系下横观各向同性地基的非耦合状态方程;利用双重Fourier变换以及Cayley-Hamilton定理得到了单层地基的传递矩阵;结合边界条件和层间连续条件进而得其传递矩阵解。编制了相应程序并进行了数值计算与分析,结果表明:数值结果与已有文献结果十分吻合,地基的横观各向同性性质与成层性质对受荷地基中竖向位移和应力的影响较为显著。
The decoupling transformation is used to derive the uncoupled state equation of a transversely isotropic subgrade in a Cartesian coordinate system. The transfer matrix of a single layer is obtained by using the double Fourier transform and the Cayley-Hamilton theorem. Combining the boundary conditions and the continuous layer conditions Get its transfer matrix solution. The corresponding program is compiled and numerical calculation and analysis are carried out. The results show that the numerical results are in good agreement with the existing literature results. The influence of the transversely isotropic and stratified properties of the foundation on the vertical displacement and stress in the loaded foundation is relatively Significant.