摘要
本文基于“等参变换规则化”概念分析了E.L.Wilson等提出的QM_6单元通过分片检验的实质和缺陷,并采用“求逆犯规”方法改进了QM_6单元。由此得到的QMM_6单元比QM6单元计算量小,反映单元畸变特征好。文中阐明了“求逆犯规”方法保证单元收敛及其对单元刚度阵的影响。并给出了区别基于Wilson不协调内插函数的三种非协调元Q_6、QM_6、QMM_6特征的简式。
Based on the concepts of 'Isoparametric Transformation Regularization', we analyze the essence of the pass through patch test and the drawbacks of Qm6 element proposed by E. L. Wilson and improve it by 'Inversion Crime' method in the paper The new element Qmm6 is advantageous in taking less CPU time, achieving higher accuracy and identifying distortion characteristic easily. The convergence of the present method and its effects on the element stiffness matrix are also expounded. In the end, we provide three concise formula to identify characterics of three kinds of nonconforming elements Q6, Qm6 and Qmm6 based on Wilson nonconforming interpolation function.
出处
《力学学报》
EI
CSCD
北大核心
1989年第3期379-384,共6页
Chinese Journal of Theoretical and Applied Mechanics
关键词
非协调元
WILSON
畸变单元
nonconforming element, paten, test, distorted element.
