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Robust Damping in Self-Excited Mechanical Systems

Jekel, Dominic and Clerkin, Eoin and Hagedorn, Peter (2016):
Robust Damping in Self-Excited Mechanical Systems.
16, In: Proceedings in Applied Mathematics and Mechanics (PAMM), (1), John Wiley and Sons, pp. 695-696, ISSN 1617-7061, [Online-Edition: http://onlinelibrary.wiley.com/doi/10.1002/pamm.201610336/fu...],
[Article]

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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 and Clerkin, Eoin and Hagedorn, Peter
Title: Robust Damping in Self-Excited Mechanical Systems
Language: English
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.

Journal or Publication Title: Proceedings in Applied Mathematics and Mechanics (PAMM)
Volume: 16
Number: 1
Publisher: John Wiley and Sons
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
Event Title: Joint Annual Meeting of DMV and GAMM
Event Location: Braunschweig, Germany
Event Dates: 7-11 March 2016
Date Deposited: 01 Nov 2016 07:58
Official URL: http://onlinelibrary.wiley.com/doi/10.1002/pamm.201610336/fu...
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