Modal Control of Vibration in Rotating Machines and Other Generally Damped Systems
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 th...
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| Format: | Article |
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2006
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| Online Access: | https://eprints.nottingham.ac.uk/453/ |
| _version_ | 1848790414313652224 |
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| author | Houlston, Paul Robert Garvey, Seamus D. Popov, Atanas A. |
| author_facet | Houlston, Paul Robert Garvey, Seamus D. Popov, Atanas A. |
| author_sort | Houlston, Paul Robert |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:12:14Z |
| format | Article |
| id | nottingham-453 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:12:14Z |
| publishDate | 2006 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-4532020-05-04T20:29:58Z https://eprints.nottingham.ac.uk/453/ Modal Control of Vibration in Rotating Machines and Other Generally Damped Systems Houlston, Paul Robert Garvey, Seamus D. Popov, Atanas A. 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. 2006 Article PeerReviewed Houlston, Paul Robert, Garvey, Seamus D. and Popov, Atanas A. (2006) Modal Control of Vibration in Rotating Machines and Other Generally Damped Systems. modal control second order systems general damping non-proportional damping rotor-dynamics |
| spellingShingle | modal control second order systems general damping non-proportional damping rotor-dynamics Houlston, Paul Robert Garvey, Seamus D. Popov, Atanas A. Modal Control of Vibration in Rotating Machines and Other Generally Damped Systems |
| title | Modal Control of Vibration in Rotating Machines and Other
Generally Damped Systems |
| title_full | Modal Control of Vibration in Rotating Machines and Other
Generally Damped Systems |
| title_fullStr | Modal Control of Vibration in Rotating Machines and Other
Generally Damped Systems |
| title_full_unstemmed | Modal Control of Vibration in Rotating Machines and Other
Generally Damped Systems |
| title_short | Modal Control of Vibration in Rotating Machines and Other
Generally Damped Systems |
| title_sort | modal control of vibration in rotating machines and other
generally damped systems |
| topic | modal control second order systems general damping non-proportional damping rotor-dynamics |
| url | https://eprints.nottingham.ac.uk/453/ |