Jekel, Dominic ; Clerkin, Eoin ; Hagedorn, Peter (2016)
Robust Damping in Self-Excited Mechanical Systems.
In: Proceedings in Applied Mathematics and Mechanics (PAMM), 16 (1)
doi: 10.1002/pamm.201610336
Article, Bibliographie
This is the latest version of this item.
Abstract
A technique to optimize the stability of a general mechanical system is outlined. The method relies on decomposing the damping matrix into several component matrices, which may have some special structure or physical relevance. An optimization problem can then be formulated where the ratio of these are varied to either stabilize or make more stable the equilibrium state subject to sensible constraints. For the purpose of this study, we define a system to be more stable if its eigenvalue with largest real part is as negative as possible. The technique is demonstrated by applying it to an introduced non-dimensionalized variant of a known minimal wobbling disc brake model. In this case, it is shown to be beneficial to shift some damping from the disc to the pins for a system optimized for stability.
| Item Type: | Article |
|---|---|
| Erschienen: | 2016 |
| Creators: | Jekel, Dominic ; Clerkin, Eoin ; Hagedorn, Peter |
| Type of entry: | Bibliographie |
| Title: | Robust Damping in Self-Excited Mechanical Systems |
| Language: | English |
| Date: | October 2016 |
| Publisher: | John Wiley and Sons |
| Journal or Publication Title: | Proceedings in Applied Mathematics and Mechanics (PAMM) |
| Volume of the journal: | 16 |
| Issue Number: | 1 |
| DOI: | 10.1002/pamm.201610336 |
| URL / URN: | http://onlinelibrary.wiley.com/doi/10.1002/pamm.201610336/fu... |
| Abstract: | A technique to optimize the stability of a general mechanical system is outlined. The method relies on decomposing the damping matrix into several component matrices, which may have some special structure or physical relevance. An optimization problem can then be formulated where the ratio of these are varied to either stabilize or make more stable the equilibrium state subject to sensible constraints. For the purpose of this study, we define a system to be more stable if its eigenvalue with largest real part is as negative as possible. The technique is demonstrated by applying it to an introduced non-dimensionalized variant of a known minimal wobbling disc brake model. In this case, it is shown to be beneficial to shift some damping from the disc to the pins for a system optimized for stability. |
| Additional Information: | Joint Annual Meeting of DMV and GAMM, Braunschweig, Germany, 7-11 March 2016 |
| Divisions: | 16 Department of Mechanical Engineering 16 Department of Mechanical Engineering > Dynamics and Vibrations Exzellenzinitiative Exzellenzinitiative > Graduate Schools Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE) Zentrale Einrichtungen |
| Date Deposited: | 01 Nov 2016 07:58 |
| Last Modified: | 18 Jun 2024 12:29 |
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Robust Damping in Self-Excited Mechanical Systems. (deposited 23 Mar 2016 13:03)
- Robust Damping in Self-Excited Mechanical Systems. (deposited 01 Nov 2016 07:58) [Currently Displayed]
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