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Article Dans Une Revue International Journal of Non-Linear Mechanics Année : 2016

Analysis of steady-state response regimes of a helicopter ground resonance model including a nonlinear energy sink attachment

Résumé

Helicopter Ground Resonance is a dynamic instability involving the coupling of the blades motion in the rotational plane (i.e. the lag motion) and the motion of the fuselage. This paper presents a study of the capacity of a Nonlinear Energy Sink to control a Helicopter Ground Resonance. A model of helicopter with a minimum number of degrees of freedom that can reproduce Helicopter Ground Resonance instability is ob- tained using successively Coleman transformation and binormal transformation. A theoretical/numerical analysis of the steady- state responses of this model when a Nonlinear Energy Sink is attached on the fuselage in an ungrounded configuration is performed. The analytic approach is based on complexifcation-averaging method together with geometric singular perturbation theory. Four steady-state responses are highlighted and explained analytically: complete suppression, partial suppression through strongly modulated response, partial suppression through periodic response and no suppression of the Helicopter Ground Resonance. A systematic method based on simple analytical criterions is proposed to predict the steady-state response regimes. The method is fnally validated numerically
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Dates et versions

hal-01091763 , version 1 (06-12-2014)
hal-01091763 , version 2 (21-04-2015)
hal-01091763 , version 3 (10-11-2015)
hal-01091763 , version 4 (11-12-2017)
hal-01091763 , version 5 (30-12-2017)

Identifiants

Citer

Baptiste Bergeot, S Bellizzi, B Cochelin. Analysis of steady-state response regimes of a helicopter ground resonance model including a nonlinear energy sink attachment. International Journal of Non-Linear Mechanics, 2016, 78, pp.72-89. ⟨10.1016/j.ijnonlinmec.2015.10.006⟩. ⟨hal-01091763v5⟩
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