一个改进的平面梁单元

An improved plane beam finite element

根据有限单元法基本原理 ,提出了一个变截面平面梁单元 ,推导了其单元钢度矩阵。这一改进的梁单元用于分析梁高呈线性变化及二次抛物线变化的矩形截面梁 ,将得到准确解。文中给出了一个变截面悬臂梁算例 ,计算表明 。

By applying the basic principles of the finite element methods, a finite element of plane non-uniform beam is proposed in this paper. The improved element gives exact results for analyzing the non-uniform rectangular beams with both linear and parabolic variation heights of the transverse section. A non-uniform cantilever beam is presented as an example, which shows that the present element simplifies the analysis of non-uniform beams distinctly.