非常规矩形板元(REUNC元)刚度矩阵、质量矩阵和几何刚度矩阵的列式——非常规单元系列(Ⅱ)  

FORMATIONS OF STIFFNESS MATRIX,MASS MATRICES AND GEOMETRIC STIFFNESS MATRICES OF RECTANGULAR UNCONVENTIONAL PLATE ELEMENT(REUNC ELEMENT)——UNCONVENTIONAL ELEMENT FAMILY

作　　者：葛爱民[1] 刘淼[2] 李纬华[3] 罗恩[3] 

机构地区：[1]中山大学建筑设计研究所,广州510275 [2]同济大学航空航天与力学学院,上海200092 [3]中山大学应用力学与工程系,广州510275

出　　处：《数值计算与计算机应用》2007年第3期230-240,共11页Journal on Numerical Methods and Computer Applications

基　　金：高校博士点基金(20030558025);国家自然科学基金(10172097)资助项目.

摘　　要：本文提出一种与非常规三角形板元(TRUNC元)相配的非常规矩形板元(REUNC元).这种新单元虽然采用与常规ACM元相同的位移模式,但是REUNC元的刚度矩阵、两种新的质量矩阵和几何刚度矩阵是采用作者所提出的新列式方法来构造的.因此,与ACM元相比,REUNC元的精度更高,结构更简单,计算量更少和编程更容易.The rectangular unconventional plate element（REUNC element）,which is a match for TRUNC element,is presented.Although the displacement mode of the new element is the same as that of ACM element, the stiffness matrix,two new mass matrices and geometric stiffness matrices of REUNC element are constructed with the new formation method presented by authors.Therefore, compared with ACM element,REUNC element has higher accuracy,simpler structure,less computing time and more easily programming.

关 键 词：非常规矩形板元(REUNC元) ACM元 列式 质量矩阵 几何刚度矩阵 

分 类 号：O302[理学—力学]