摘要
基于原始的带有旋转自由度的Allman单元,从转动分量定义出发,对原始的Allman单元泛函位能Πp进行了一些修正,推导得到了一个新的单元.该单元成功地消除了Allman单元的主要缺陷———多余零能模式,同时保持了该单元的优点:列式简洁、精度高,给出的算例证实了改进单元的良好特性.
Based on the original Allman's element with drilling degree of freedom and the drilling degree definition, a modified element is presented by means of perfecting the variational functional Πp of Allman's element in the paper. The spurious zero energy mode, which is the main shortcoming of Allman's element, is successfully removed. However, it still keeps the strong points of Allman's element: simplicity and high accuracy. The given examples show the good features of the element.
出处
《郑州大学学报（工学版）》
CAS
2005年第1期13-15,23,共4页
Journal of Zhengzhou University（Engineering Science）
基金
国家杰出青年科学基金资助项目(10225211)
关键词
三角形单元
泛函
分量
旋转自由度
推导
平面
转动
模式
例证
定义
finite element method
drilling degree of freedom
spurious zero energy mode
triangle element
