MATEC Web Conf.
Volume 241, 2018International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2018)
|Number of page(s)||4|
|Published online||03 December 2018|
Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.
Laboratory of Renewable Energy and Dynamicsof Systems, Faculty of Sciences Ain Chock, University Hassan II-Casablanca, Morocco
In the present paper 3D bending linear free vibrations of spinning Rayleigh beams are investigated. Four linear models, that differ in the linearization process, are studied. A focus on analytical computation of natural frequencies for a broad range of boundary conditions is highlighted. Then, the conditions of occurrence of divergence and flutter instabilities are determined. Finally, a case study consisting of a clamped-clamped Rayleigh beam is studied. It is found that the free vibrations destabilization process depends on the used linearization approach.
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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