摘要
从最小势能原理出发,使用变分-差分方法构造带有弯曲边梁的薄板的小挠度弯曲问题的差分格式,所得格式仅依赖板面网格结点,从而避免了由于引入虚拟网格结点而带来的问题;编制求解差分方程组的MATLAB程序,给出数值模拟结果.
According to the principle of minimum potential energy, finite difference schemes for small deflection bending of thin elastic plates with edge beams are obtained with FDM based on the principle of variation. The schemes depend only on mesh points in plates . They avoid problems with fictitious mesh points. Difference equations are programed with MATLAB and numerical simulations are shown.
出处
《计算物理》
EI
CSCD
北大核心
2009年第1期135-140,共6页
Chinese Journal of Computational Physics
基金
陕西省教育厅专项科研基金(05JK239)
西安建筑科技大学基础研究基金(03BR02)资助项目
关键词
薄板
弯曲问题
边梁
变分-差分方法
数值模拟
thin plate
bending problem
beam
finite-difference method based on principle of variation
numerical simulation
