Strongly modulated response in forced 2DOF oscillatory system with essential mass and potential asymmetry

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

“…In this case, the steady-state response regime is a quasiperiodic regime which exhibits a "fast" component with frequency close to ω y and a "slow" component corresponding to the envelope of the signal. The term "Strongly modulated response" has been introduced by Starosvetsky and Gendelman [10] for the study of a forced linear system coupled to a NES.…”

“…Impulsive loading was theoretically analyzed for example in [9] where TET is investigated in terms of resonance capture. In [10], harmonic forcing was considered where response regimes are characterized in terms of periodic and strongly modulated responses using an asymptotic analysis (multi scale approach) of the averaged flow obtained using the complexification-averaging method [11]. In [12] a NES is used to reduce chatter vibration in turning process.…”

Performance Comparison Between a Nonlinear Energy Sink and a Linear Tuned Vibration Absorber for Broadband Control

“…Passive control of resonance using a NES was analyzed both theoretically [16,15] and experimentally [6]. In addition to periodic response, systems with NES were shown to exhibit relaxation oscillations.…”

“…Substituting Eq. (16,17) into the second equation of (14) and balancing terms of the fundamental harmonic gives…”

Delayed dynamical sytem strongly coupled to a nonlinear energy sink : application to machining chatter

“…The possibility to control self excitation regimes in a Van der Pol oscillator with a NES has been demonstrated in [12]. System with NES can exhibit regimes which are not related to fixed points, and cannot be explained using local analysis [13]. These regimes are related to relaxation oscillation of the slow flow and are a e-mail: gourc@insa-toulouse.fr also benefit for passive control.…”