triggering mechanisms; limit cycle oscillations; degree-of-freedom; frequency component; resonance
Abstract :
[en] We show numerically that the triggering mechanisms of limit cycle oscillations (LCOs) due to aeroelastic instability are composed of a series of resonance captures. We consider a two degree-of-freedom (DOF) wing model with cubic nonlinear stiffnesses in the support, assuming quasi-steady aerodynamics and subsonic flow around the wing. Then, we establish the slow flow dynamics model, using the complexification / averaging technique and considering three frequency components; i.e., the two linear natural frequencies corresponding to heave and pitch and the superharmonic component which appears as three times the pitch frequency. It turns out that the LCO triggering mechanisms consist of mainly three stages: (i) transient resonance capture (TRC); (ii) escape; and (iii) permanent resonance capture (PRC). We examine the characteristics of each stage by way of time response, wavelet transform, phase plane, and instantaneous energy.
Disciplines :
Mechanical engineering Physics Mathematics
Author, co-author :
Lee, Young S.; University of Illinois at Urbana-Champaign > Department of Mechanical and Industrial Engineering
Vakakis, Alexander F.; National Technical University of Athens > Department of Applied Mathematical and Physical Sciences
Bergman, Lawrence A.; University of Illinois at Urbana-Champaign > Department of Aerospace Engineering
McFarland, D. Michael; University of Illinois at Urbana-Champaign > Department of Aerospace Engineering
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Triggering mechanisms of limit cycle oscillations in a 2DOF wing flutter model
Publication date :
September 2005
Event name :
International Design Engineering Technical Conferencess and Information in Engineering Conference
Event organizer :
ASME
Event place :
Long Beach, United States
Event date :
September 24-28, 2005
Audience :
International
Main work title :
ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Long Beach, 2005
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