Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2009-6pp.688-691

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S.V. Bosakov, "Eigenfrequencies and modified eigenmodes of a rectangular plate with free edges," J. Appl. Math. Mech. 73 (6), 688-691 (2009)
Year 2009 Volume 73 Issue 6 Pages 688-691
Title Eigenfrequencies and modified eigenmodes of a rectangular plate with free edges
Author(s) S.V. Bosakov (Minsk, Belarus, sevibo@yahoo.com)
Abstract A solution of the problem of the oscillations of a rectangular plate with free edges, which enables exact values of the eigenfrequencies and approximate eigenmodes to be obtained, is given. The use of the results obtained to design plates on an elastic foundation is proposed. The calculation is carried out by the Ritz method in which the eigenmodes of the plate obtained are taken as the coordinate functions, which considerably speeds up the process of obtaining a solution compared with existing approaches.
Received 23 December 2008
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