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Russian Academy of Sciences
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IssuesArchive of Issues2008-5pp.550-560

Archive of Issues

Total articles in the database: 1813
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L.D. Akulenko and S.V. Nesterov, "Flexural vibrations of a moving rod," J. Appl. Math. Mech. 72 (5), 550-560 (2008)
Year 2008 Volume 72 Issue 5 Pages 550-560
Title Flexural vibrations of a moving rod
Author(s) L.D. Akulenko (Moscow, Russia, kumak@ipmnet.ru)
S.V. Nesterov (Moscow, Russia)
Abstract The problem of the transverse natural vibrations of part of a rod between two coaxially fixed guides, moving with an arbitrary constant velocity, is investigated. The conditions of rigid clamping are taken as the boundary conditions. Additional shear stresses, due to longitudinal tension or compression are taken into account. Relations defining the natural frequencies and forms are constructed in an exact formulation by Fourier method. The dependence of the natural frequencies and forms of the lowest vibration modes on the rate of displacement, unknown in the literature, are constructed, and their features are established. A modelling and animation of unusual wave motions of the rod are presented. The main characteristics for the higher vibration modes are constructed.
Received 24 July 2007
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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