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 Issues2009-3pp.304-312

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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A.I. Munitsyn, "The non-linear oscillations of a rod with close values of the cross-section axial moments of inertia," J. Appl. Math. Mech. 73 (3), 304-312 (2009)
Year 2009 Volume 73 Issue 3 Pages 304-312
Title The non-linear oscillations of a rod with close values of the cross-section axial moments of inertia
Author(s) A.I. Munitsyn (Ivanovo, Russia, munitsyn@rambler.ru)
Abstract An analytical solution of the problem of the forced flexural oscillations of a rod with fixed hinged supports is presented. The rod has close natural frequencies of flexural oscillations in two mutually perpendicular planes due to the close values of the principal axial moments of inertia of the cross-section. The geometrical non-linearity, due to the change in the length of the middle line of the rod when it undergoes three-dimensional motion, is taken into account. The oscillations of the rod in the neighbourhood of the principal and first superharmonic resonances are investigated.
Received 26 February 2008
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