摘要
本文扩展了Ｈｕｇｈｅｓ等建立的具有独立转动变量的变分原理，由此导出了杂交／混合有限元的列式方法。在此基础上，建立了一个具有ｄｒｉｌｌｉｎｇ自由度的杂交／混合膜单元。数值检验表明，本文的列式方法优于基于Ｈｕｇｈｅｓ等提出的变分原理的列式方法。另外，本文建立的单元能够顺利通过ＮａｃＮｅａｌ建议的标准考题，并已达到完善单元的标准。
In this paper,the variational principle with rotational varlables by Hughes and Harder is expanded.Therefrom,the formulation of hybrid/mixed finite element with rotations is derived and a membrane element with drilling DOF is developed.Numerical examinations show that the present formulation is better than that based on the principle by Hughes and Harder.Especially,the element developed in the paper can successfully pass the standard set of problems by MacNeal,with nearly defect-free performance。
出处
《西南交通大学学报》
EI
CSCD
北大核心
1995年第2期128-134,共7页
Journal of Southwest Jiaotong University
基金
国家自然科学基金
