非常规三角形板元(TRUNC元)的新列式及其质量矩阵和几何刚度矩阵——非常规单元系列(Ⅰ)  

NEW FORMATION OF TRIANGULAR UNCONVENTIONAL PLATE ELEMENT(TRUNC ELEMENT)WITH MASS MATRICES AND GEOMETRIC STIFFNESS MATRICES——UNCONVENTIONAL ELEMENT FAMILY(Ⅰ)

作　　者：罗恩[1] 葛爱民[2] 李纬华[1] 

机构地区：[1]中山大学应用力学与工程系,广州510275 [2]中山大学建筑设计研究所,广州510275

出　　处：《数值计算与计算机应用》2007年第2期150-160,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：国际有限元权威Argyris所创立的TRUNC元是一个精度高的优秀板元．本文提出了构造TRUNC元的刚度矩阵的新列式,它是对Argyris列式的重要改进．与Argyris列式相比,本文的新列式的精度更高,结构更简单,计算量更小和编程更容易．为了使TRUNC元能用于薄板的动力与稳定分析中,本文用作者所提出的新列式方法,建立了TRUNC元的两种新的质量矩阵和几何刚度矩阵．The TRUNC element founded by international FEM authority Argyris is a high-accuracy excellent plate element. The new formation of constructing stiffness matrix of TRUNC element is presented in this paper. It is the important improvement for Argyris＇s formation. Compared with Argyris＇s formation, the new formation presented in this paper has higher accuracy, simpler structure, less computing time and more easily programming. In order to apply TRUNC element to dynamic and stability analyses for thin plates, two new mass matrices and geometric stiffness matrices are established with new formation method presented by authors.

关 键 词：三角形非常规板元(TRUNC元) 质量矩阵 几何刚度矩阵 列式 广义常应变 广义变应变 

分 类 号：O242.21[理学—计算数学]