Analysis of the backward bending modes in damped rotating beams

Autor: Jose Martínez-Casas, Francisco David Denia, Juan Fayos Sancho, Enrique Nadal Soriano, Juan Giner-Navarro
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Advances in Mechanical Engineering, Vol 11 (2019)
Druh dokumentu: article
ISSN: 1687-8140
16878140
DOI: 10.1177/1687814019840474
Popis: This article presents a study of the backward bending mode of a simply supported rotating Rayleigh beam with internal damping. The study analyses the natural frequency behaviour of the backward mode according to the internal viscous damping ratio, the slenderness of the beam and its spin speed. To date, the behaviour of the natural frequency of the backward mode is known to be a monotonically decreasing function with spin speed due to gyroscopic effects. In this article, however, it is shown that this behaviour of the natural frequency may not hold for certain damping and slenderness conditions, and reaches a minimum value (concave function) from which it begins to increase. Accordingly, the analytical expression of the spin speed for which the natural frequency of the backward mode attains the minimum value has been obtained. In addition, the internal damping ratio and slenderness intervals associated with such behaviour have been also provided.
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