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• W2048353721 startingPage "1045" @default.
• W2048353721 abstract "The calculation of null basis for equilibrium matrix is the main part of the 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. There are many algorithms for the formation of null basis among which the algebraic methods benefit from the generality. However, the efficiency of these methods is highly dependent on the size of problems, and their computational times are very high for such problems. In this paper, a graph-theoretical method is presented for the formation of sparse, banded and highly accurate null basis matrices for finite element models with triangular and rectangular bending elements. These bases are generated much faster than those obtained by the algebraic methods. The efficiency of the present method is illustrated through some example." @default.
• W2048353721 created "2016-06-24" @default.
• W2048353721 creator A5001822911 @default.
• W2048353721 creator A5047580007 @default.
• W2048353721 date "2011-10-01" @default.
• W2048353721 modified "2023-09-27" @default.
• W2048353721 title "Efficient finite element analysis by graph-theoretical force method; rectangular and triangular plate bending elements" @default.
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• W2048353721 doi "https://doi.org/10.1016/j.scient.2011.09.006" @default.
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