Passive control of aeroelastic instability in a long span bridge model prone to coupled flutter using targeted energy transfer

In this paper we study a problem of passive nonlinear targeted energy transfer between a two degrees of freedom long span bridge model prone to coupled flutter and a single degree of freedom nonlinear energy sink (NES). This study is mainly analytical and use complexification methods, multiple scale...

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Bibliographic Details
Published in:Journal of sound and vibration 2011-05, Vol.330 (11), p.2580-2595
Main Authors: Vaurigaud, B., Manevitch, L.I., Lamarque, C.-H.
Format: Article
Language:English
Subjects:
Aeroelasticity
Constraining
Energy transfer
Engineering Sciences
Instability
Mathematical analysis
Mathematical models
Mechanics
Nonlinearity
Physics
Stability
Vibration
Vibrations
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Summary:In this paper we study a problem of passive nonlinear targeted energy transfer between a two degrees of freedom long span bridge model prone to coupled flutter and a single degree of freedom nonlinear energy sink (NES). This study is mainly analytical and use complexification methods, multiple scales expansions and exploits also the concept of limiting phase trajectories (LPTs). The system is studied under 1:1:1 nonlinear resonance involved in targeted energy transfer mechanisms. Several behaviors that suppress aeroelastic instability are identified. We show that analytical calculations permit to design a NES able to efficiently control the aeroelastic instability of the bridge. Numerical simulations are performed and good agreement with analytical predictions is observed. It results that the concept of limiting phase trajectories (LPT) allows formulating adequately the problem of intensive energy transfer from a bridge to a nonlinear energy sink.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2010.12.011