In- and Out-of-Plane Vibrations of a Rotating Plate With Frictional Contact: Investigations on Squeal Phenomena

Spelsberg-Korspeter, Gottfried, Hochlenert, Daniel, Kirillov, Oleg and Hagedorn, Peter (2009) In- and Out-of-Plane Vibrations of a Rotating Plate With Frictional Contact: Investigations on Squeal Phenomena. Journal of Applied Mechanics, 76 (4). 041006. ISSN 0021-8936

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Official URL: http://dx.doi.org/10.1115/1.3112734

Abstract

Rotating plates are used as a main component in various applications. Their vibrations are mainly unwanted and interfere with the functioning of the complete system. The present paper investigates the coupling of disk (in-plane) and plate (out-of-plane) vibrations of a rotating annular Kirchhoff plate in the presence of a distributed frictional loading on its surface. The boundary value problem is derived from the basics of the theory of elasticity using Kirchhoff’s assumptions. This results in precise information about the coupling between the disk and the plate vibrations under the action of frictional forces. At the same time we obtain a new model, which is efficient for analytical treatment. Approximations to the stability boundaries of the system are calculated using a perturbation approach. In the last part of the paper nonlinearities are introduced leading to limit cycles due to self-excited vibrations.

Item Type: Article
Uncontrolled Keywords: vibration, disks, boundary-value problems, force, equations
Subjects: G100 Mathematics
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Oleg Kirillov
Date Deposited: 23 Jan 2017 15:15
Last Modified: 23 Jan 2017 15:15
URI: http://nrl.northumbria.ac.uk/id/eprint/29291

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