Volume 12, Number 2 and A (Transaction A: Civil Engineering, June 2014)                   IJCE 2014, 12(2 and A): 249-269 | Back to browse issues page


XML Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Kaveh A, Massoudi M. Efficient finite element analysis using graph-theoretical force method tetrahedron elements. IJCE. 2014; 12 (2) :249-269
URL: http://ijce.iust.ac.ir/article-1-1123-en.html

Abstract:   (41113 Views)
Formation of a suitable null basis is the main problem of finite elements analysis via force method. For an optimal analysis, the selected null basis matrices should be sparse and banded corresponding to sparse, banded and well-conditioned flexibility matrices. In this paper, an efficient method is developed for the formation of the null bases of finite element models (FEMs) consisting of tetrahedron elements, corresponding to highly sparse and banded flexibility matrices. This is achieved by associating special graphs with the FEM and selecting appropriate subgraphs and forming the self-equilibrating systems (SESs) on these subgraphs. Two examples are presented to illustrate the simplicity and effectiveness of the presented graph-algebraic method.
Full-Text [PDF 2407 kb]   (909 Downloads)    
Type of Study: Research Paper | Subject: Structure-Steel

Add your comments about this article : Your username or email:
Write the security code in the box

© 2015 All Rights Reserved | International Journal of Civil Engineering

Designed & Developed by : Yektaweb