摘要
根据柱体扭转问题的应力函数理论,采用空心材料刚度弱化思想,提出“化复为单”的有限元近似离散与计算新方法,建立了求解具有任意横截面形状的扭杆扭转问题的二维通用有限元方法.并根据稳态热传导问题和扭转问题的控制方程形式上的相似性,利用现有的有限元分析软件通过分析热场,模拟求解了扭转问题.数值计算结果表明,该方法概念简单、通用性强、适用于任意截面扭杆,是一种分析任意直杆扭转问题的应力和抗扭刚度的有效方法.
According to stress function theory of torsion bars, a general 2-dimensional finite element method has been developed for the analysis of torsional bars with arbitrary cross-section, where a new idea of ＂multiplicity-to-simplicity transformation＂ was proposed. And based on the analogy between controlling equation of steady thermal conduction and that of torsional bars, the latter was simulatively solved by analyzing the corresponding thermal conduction together with the existing FEA software. Numerical results showed that the proposed method has an advantage of simplicity and generality in stress analysis and torsional rigidity computation. It is an efficient method suitable for dealing with torsional bars with arbitrary cross-section.
出处
《兰州理工大学学报》
CAS
北大核心
2006年第2期158-161,共4页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(10372083)
关键词
化复为单
模拟求解
有限元方法
扭转
应力函数
复连通域
multiplicity-to-simplicity transformation
simulation solution
finite element method
torsion
stress function
multiply-connected domain
