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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 3, Pages 59–64
DOI: https://doi.org/10.18500/1816-9791-2010-10-3-59-64 (Mi isu176) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Modified spline collocation method in the problems of thin rectangular viscoelastic plate vibrations

P. F. Nedorezova, O. M. Romakinab, R. A. Safonova

a Saratov State University, Chair of Mathematical Theory of Elasticity and Biomechanics
b Saratov State University, Chair of Computer's Algebra and Theory of Numbers
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DOI: https://doi.org/10.18500/1816-9791-2010-10-3-59-64
Abstract: Numerical method for evaluation of critical frequencies during steady-state bending vibrations of viscoelastic plate is presented. The solution is based on applying modified spline collocation method for lowering the problem's dimension and numerical solving of the obtained problem via discrete orthogonalization method. The application of this approach with different boundary conditions is examined in detail.
Key words: plate, bending, numerical solution, spline, discrete orthogonalization.
Document Type: Article
UDC: 539.3
Language: Russian
Citation: P. F. Nedorezov, O. M. Romakina, R. A. Safonov, “Modified spline collocation method in the problems of thin rectangular viscoelastic plate vibrations”, Izv. Saratov Univ. Math. Mech. Inform., 10:3 (2010), 59–64
Citation in format AMSBIB
\Bibitem{NedRomSaf10}
\by P.~F.~Nedorezov, O.~M.~Romakina, R.~A.~Safonov
\paper Modified spline collocation method in the problems of thin rectangular viscoelastic plate vibrations
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 3
\pages 59--64
\mathnet{http://mi.mathnet.ru/isu176}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-3-59-64}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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