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THE SCHEME OF BIORTHOGONALIZATION OF VECTORS IN SOLVING THE PROBLEM OF RECTANGULAR PLATE BENDING

Volumen 50, Ausgabe 6, 2019, pp. 673-678
DOI: 10.1615/TsAGISciJ.2020033036
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ABSTRAKT

An approximate solution to the problem of bending a rectangular thin uniform plate under the application of a uniformly distributed load, the opposite sides of which are fixed and the other two sides are free, is considered. When solving this problem, a new computational scheme of solving the systems of linear algebraic equations is proposed. The procedure is based on constructing biorthogonal vectors in real vector space. As an intermediate result, a nondegenerate real matrix decomposition formula for the considered problem is obtained, which produces two triangular and diagonal matrices. It is demonstrated that for the considered example of computations, the proposed method is more accurate in comparison with the Gaussian method in relation to the main element choice.

REFERENZEN
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