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Title

EFFICIENT FINITE ELEMENT ANALYSIS USING GRAPH-THEORETICAL FORCE METHOD; TETRAHEDRON ELEMENTS

Writers

KAVEH A. | MASSOUDI M.S.

Pages

 Start Page 347 | End Page 367

Abstract

 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 sub graphs and forming the self-equilibrating systems (SESs) on these sub graphs. Two examples are presented to illustrate the simplicity and effectiveness of the presented graph algebraic method.

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