Modal Control of Vibration in Rotating Machines and Other Generally Damped Systems

Houlston, Paul Robert and Garvey, Seamus D. and Popov, Atanas A. (2006) Modal Control of Vibration in Rotating Machines and Other Generally Damped Systems.

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Abstract

Second order matrix equations arise in the description of real dynamical systems. Traditional modal control approaches utilise the eigenvectors of the undamped system to diagonalise the system matrices. A regrettable consequence of this approach is the discarding of residual off-diagonal terms in the modal damping matrix. This has particular importance for systems containing skew-symmetry in the damping matrix which is entirely discarded in the modal damping matrix. In this paper a method to utilise modal control using the decoupled second order matrix equations involving non-classical damping is proposed. An example of modal control successfully applied to a rotating system is presented in which the system damping matrix contains skew-symmetric components.

Item Type: Article
Uncontrolled Keywords: modal control, second order systems, general damping, non-proportional damping, rotor-dynamics
Schools/Departments: University of Nottingham UK Campus > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Depositing User: Houlston, Paul Robert
Date Deposited: 15 Jan 2007
Last Modified: 12 Aug 2013 11:47
URI: http://eprints.nottingham.ac.uk/id/eprint/453

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