|نویسندگان||A Kaveh - MS Massoudi|
|نشریه||Computational Science, Engineering & Technology Series|
|نوع مقاله||Full Paper|
|رتبه نشریه||علمی - پژوهشی|
|کشور محل چاپ||بریتانیا|
Abstract. Formation of a suitable null basis for an equilibrium matrix is the main problem of finite elements analysis using the 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, efficient methods are developed for the formation of null bases of finite element models (FEMs) consisting of triangular, rectangular, tetrahedron, and hexahedron elements with various orders, 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.
tags: Graph theory,finite element force method,rectangular element,triangular element,tetrahedron element,hexahedron element,null basis matrix.