摘要
组合条元法在平面应力、平面应变及弹性薄板问题中已有了成功的应用,在此基础上,对有限元与组合条元联合应用于空间轴对称问题进行了研究。首先探索了组合条元的修正函数,推导了组合条元在空间轴对称问题中的相关公式;然后提出了改进的波前法,大大提高了计算效率;最后通过算例验证了本文分析方法的正确性和有效性。
Presents the theoretical formulae established for application of both finite element and combined strip element to axis symmetry problems by constructing the nodal line displacement of strip element using shape function interpolation and sin(aπx) progression term and establishing the displacement field of combined strip element by interpolating with the nodal line displacement as a parameter,in short side direction of strip and the modified frontal solution proposed to improve the computational efficiency,and concludes from results of substantiation with typical examples that the application decrease computational effort greatly in comparison with the application of finite element only and the computational accuracy is better.
出处
《哈尔滨建筑大学学报》
北大核心
2001年第2期1-5,共5页
Journal of Harbin University of Civil Engineering and Architecture
关键词
有限元
组合条元
轴对称
高斯积分
位移场
弹性薄板
finite element;combined strip element;axis symmetry;frontal solution;refined function;GAUSS integral;displacement field