Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments

Lee, Young S.; Nucera, F.; Vakakis, Alexander F.; McFarland, D. Michael; Bergman, Lawrence A.

doi:10.1016/j.physd.2009.06.013

Cited by 144 publications

(71 citation statements)

References 63 publications

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“…At the extremity, the sole fifth harmonic remains, which completes the transition to NNM10. Such internal resonances between NNMs were previously reported in the literature, see, e.g., [28,31], also in the case of a two-degree-of-freedom vibroimpact system [32] and a full-scale aircraft [30]. They are therefore not further described herein.…”

Section: Nonlinear Modal Analysis Of the Smallsat Spacecraftmentioning

confidence: 62%

Complex dynamics of a nonlinear aerospace structure: numerical continuation and normal modes

2014

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This paper investigates the dynamics of a real-life aerospace structure possessing a strongly nonlinear component with multiple mechanical stops. A full-scale finite element model is built for gaining additional insight into the nonlinear dynamics that was observed experimentally, but also for uncovering additional nonlinear phenomena, such as quasiperiodic regimes of motion. Forced/unforced, damped/undamped numerical simulations are carried out using advanced techniques and theoretical concepts such as numerical continuation and nonlinear normal modes.

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Section: Nonlinear Modal Analysis Of the Smallsat Spacecraftmentioning

confidence: 62%

Complex dynamics of a nonlinear aerospace structure: numerical continuation and normal modes

2014

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“…The damping in Type I and Type III NESs is linear, whereas it is nonlinear in the Type II NES [9]. More recently, strongly nonlinear inertia coupling between a rotating NES mass and the primary linear structure has been employed in a rotating NES design [10][11][12], while strongly nonlinear vibro-impact coupling has been employed in [13][14][15][16][17][18][19][20][21]. The basic mechanism for inducing TET through the NESs takes place through a single mode resonance capture, or a series of resonance captures, namely resonance capture cascades [1][2][3][4][5][6][7][8][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental investigations of a rotating nonlinear energy sink

et al. 2016

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In this work, passive nonlinear targeted energy transfer (TET) is addressed by numerically and experimentally investigating a lightweight rotating nonlinear energy sink (NES) which is coupled to a primary two-degree-of-freedom linear oscillator through an essentially nonlinear (i.e., non-linearizable) inertial nonlinearity. It is found that the rotating NES passively absorbs and rapidly dissipates a considerable portion of impulse energy initially induced in the primary oscillator. The parameters of the rotating NES are optimized numerically for optimal performance under intermediate and strong loads. The fundamental mechanism for effective TET to the NES is the excitation of its rotational nonlinear mode, since its oscillatory mode dissipates far less energy. This involves a highly energetic and intense resonance capture of the transient nonlinear dynamics at the lowest modal frequency of the primary system; this is studied in detail by constructing an appropriate frequency-energy plot. A series of experimental tests is then performed to validate the theoretical predictions. Based on the obtained numerical and experimental results, the performance of the rotating NES is found to be comparable to other current translational NES designs; however, the proposed rotating device is less complicated and more compact than current types of NESs.

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“…A majority of such works consists either in i) regularizing the impact condition(s) with the addition of springs [4,7,15,19,27,28,36,41] or ii) investigating the dynamics of a forced vibro-impact oscillator [12,34,35,43,44]. Regularizing is known to introduce numerical stiffness [1,2] and is not considered in this work (the relationship between regularized and infinitely rigid impact was studied using a two-degree-of-freedom system with an elastic stop with one impact per period in ref.…”

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confidence: 99%