论文部分内容阅读
从横观各向同性平面应变弹性体的基本控制方程出发,通过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,然后再通过矩阵变换求得单层地基的精确刚度矩阵,即解析层元解;根据有限层法原理组合得到总刚度矩阵,通过求解总刚度矩阵得到横观各向同性层状地基平面应变问题在积分变换域内的解答,应用Fourier逆变换得到物理域内的精确解。编制相应的计算程序,计算结果与有限元软件模拟结果吻合。算例分析表明土的分层特性和横观各向同性性质对土体变形有明显影响。
Based on the basic governing equations of transversely isotropic plane strainable elastic body, the transfer matrix of the transversely isotropic transversely isotropic foundation is derived by means of Fourier integral transformation and Cayley-Hamilton theorem, and then the matrix of single layer The exact stiffness matrix is analytic layer element solution. The total stiffness matrix is obtained by the combination of finite layer method. The solution of the plane strain problem of transversely isotropic layered layered ground in the integral transform domain is obtained by solving the total stiffness matrix. Fourier inverse transform Exact solution in the physical domain. Compile the corresponding calculation program, the calculation results are consistent with the finite element software simulation results. The case study shows that the stratification and the transverse isotropy of soil have a significant effect on soil deformation.