水平荷载作用下横观各向同性地基的力学分析及应用

Mechanics analysis and application in a transversely isotropic foundation acted by horizontal loads

根据横观各向同性体的基本方程 ,运用数学力学方法得出了横观各向同性地基的平面塞露蒂 (Cerruti)问题的基本解 ,然后利用积分的方法分别得出了横观各向同性地基在条形面积上作用有水平均布荷载、水平三角形分布荷载及水平梯形分布荷载的应力计算公式 ,并利用测出的一组弹性参数 ,将横观各向同性地基中的附加应力与现有的计算理论给出的各向同性地基中的附加应力通过图形作分析比较 ,得出了一些有利于工程安全设计的结论 。

Based upon general equations of a transversely isotropic foundation, stress functions and the theory of Fourier transforms, the solutions of plane Cerruti's problems in a transversely isotropic body are put forward. By integration, the solutions of stress caused by horizontal uniform, triangle or trapezoid distributed loads acting on the strip area of a transversely isotropic foundation are obtained. Upon a set of data about five elastic constants which are measured practically, graphs of additional stress solutions of a transversely isotropic foundation are compared with those of an isotropic foundation. Some valuable conclusions are got, which can be referred by engineers.