摘要
基于能量变分原理,考虑地基耦合效应,建立了双参数地基上弹性板的非线性静力平衡方程。构造了一组满足全部边界条件的试探函数,应用伽辽金法对该组非线性方程进行求解,数值计算中考虑了系统各种参数变化对双参数地基上四边自由矩形板的非线性静力特性的影响。
Based on energy variation principle, the nonlinear control equations of elastics plate on two-parameter foundation including the coupled effect of the foundation are derived in this paper. The suitable expressions of trial functions satisfied all boundary conditions of the problem were proposed. By means of Galerkin method, the nonlinear equations were solved. In the numerical computation, the effects of various parameters of the system on nonlinear static bending of rectangular plate with freely boundary on elastic foundation were considered.
出处
《长沙交通学院学报》
2006年第1期22-26,共5页
Journal of Changsha Communications University
基金
国家自然科学基金资助项目(50208004)
交通部科研项目(200231582512)
关键词
矩形板
弹性地基
非线性
伽辽金法
rectangular plate
elastic foundation l nonlinear
Galerkin method
