Time efficiency and error estimation in generating element stiffness matrices of plane triangular elements using Universal Matrix Method and Gauss-Quadrature

作     者：Jeyakarthikeyan, P., V Yogeshwaran, R. Abdullahi, Hamza Sulayman 

作者机构：SRM Univ Sch Mech Engn Madras Tamil Nadu India 

出 版 物：《AIN SHAMS ENGINEERING JOURNAL》 (艾因夏姆斯工程杂志)

年 卷 期：2018年第9卷第4期

页      面：965-972页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

基　　金：Universal Matrix Method 

主　　题：Stiffness matrix Gauss Quadrature Error estimation CPU time ratio Closed-form Triangular elements 

摘      要：This paper is aimed at generating element stiffness matrices for the family of triangular elements using Universal Matrix Method and performing a CPU time efficiency analysis and comparison of stiffness coefficients deviation (error). The interpolation functions of the field variable function (displacement) are to be integrated explicitly once and for all when geometric transformation function is linear, to give the constant universal matrices. This makes the generation of stiffness matrix a simple addition of universal matrices rather than integration of functions. (C) 2016 AM Shams University.