非线性弹性地基上具有传力杆的中厚矩形板的非线性静力分析

摘要

This article probes into the nonlinear static characteristics of moderately thick rec- tangular plate with four free edges and dowel on the nonlinear elastic foundation. According to the Reissner theory on the moderate thickness rectangular plate, the nonlinear static gov- erning equations of moderately thick rectangular plate with four free edges and dowel are derived, constructing trial functions which satisfy all boundary conditions. These equations are solved by Galerkin method in this article. The results of numerical calculations indicate that the nonlinear static characteristics of moderately thick rectangular plate with four free edges and dowel on the nonlinear elastic foundation vary with tlae parameters of the plate structure, foundation and dowel.%以非线性弹性地基上中厚矩形板为研究对象，探讨了非线性弹性地基上具有传力杆的四边自由中厚矩形板的非线性静力特性．根据Reissner中厚板理论，建立了非线性弹性地基上具有传力杆的四边自由中厚矩形板的非线性静力控制方程，构造了一组满足全部边界条件的试探函数，并运用伽辽金法求解该组非性方程．根据数值计算的结果，讨论了中厚矩形板结构参数、地基参数及传力杆参数对非线性弹性地基上具有传力杆的中厚矩形板的非线性静力特性的影响．