摘要
将双参数地基模型用于分析基础板。采用文献[1]及[2]的厚板理论,推导了双参数地基上厚板的基本方程和自由边界条件,通过引入四边滑支非齐次解及对边滑支齐次解,迭加得到了任意荷载作用下的解析解,并利用对称性大大降低了所需求解方程的阶数。编制了相应Fortran程序,可同时用于按薄板理论和Winkler模型计算。数值算例表明结果收敛迅速,精度高。分别按薄板、厚板理论计算比较了不同地基模型结果,证明本文的解克服了现有相应解的不足,能适应地基压缩层及板厚的变化,便于工程应用。
The two-parameter model is further used to analyze plates on foundations. The control equations and boundary conditions of thick rectangular plates with four free edges on the two-parameter foundations are induced. The analytical solution obtained by the method of superposition is suitable for any loads and can be simplified by utilizing the symmetrization. The corresponding Fortran programme is compiled and can be applied to computation in accordance with Winkler model or thin plate theory as well. Numerical examples show that the results converge rapidly and have high degree of accuracy. It is proved that our solution can overcome the shortcomings in orther kind of solutions and satisfy any thickness of foundations and plates. Therefore, this solution can be conveniently used in practical engineering.
关键词
矩形板
厚板
弹性地基
双参数模型
rectangular slabs
thick plates
analytic solution / two-parameter foundation
