Analysis of the backward bending modes in damped rotating beams

[EN] 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....

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Detalles Bibliográficos
Autores: Martínez Casas, José|||0000-0001-5706-4951, F. D. Denia|||0000-0003-4536-8610, Nadal, Enrique|||0000-0002-2808-298X, Giner Navarro, Juan|||0000-0002-0513-3625, Fayos Sancho, Juan
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/156656
Acceso en línea:https://riunet.upv.es/handle/10251/156656
Access Level:acceso abierto
Palabra clave:Backward bending mode
Damped rotating Rayleigh beam
Natural frequency behaviour
Campbell diagram
Internal viscous damping ratio
Slenderness
INGENIERIA MECANICA
Descripción
Sumario:[EN] 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.