Dynamic non-linear energy absorbers based on properly stretched in-plane elastomer structures

Antoniadis, Ioannis; Venetsanos, Demetrios T.; Papaspyridis, F G

doi:10.1007/s11071-013-1072-8

Cited by 6 publications

(1 citation statement)

References 17 publications

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“…Passive vibration mitigation mechanisms can generally be classified as linear, such as tuned vibration neutralizers and tuned mass dampers, or nonlinear, namely nonlinear energy sinks (NESs), [11][12][13][14] negative-stiffness and magnetic isolators. [15][16][17][18][19][20][21] A major difference between these two sub-categories is that the former are narrowband devices, while the latter, due to inherent complexity and tunability, are broadband. 14,22 Nonlinear vibration mitigation mechanisms typically operate and dissipate the undesirable vibrational energy through different nonlinear mechanisms such as internal resonances, transient resonance captures, modal energy redistributions (e.g.…”

Section: Introductionmentioning

confidence: 99%

Tunable-with-energy intense modal interactions induced by geometric nonlinearity

Mojahed

Bergman

Vakakis

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Modal interactions are distinct features of nonlinear systems that can be exploited in applications such as vibration and shock mitigation, targeted (irreversible) energy transfers (TET), and acoustic/stress wave tailoring. For such applications, different types of nonlinearities, e.g. hardening, softening, smooth, non-smooth, material or geometric, have been considered. In this work, we examine the geometric nonlinearity resulting from an initially inclined element consisting of a linear spring and a viscous damper connected in parallel, having an initial angle of inclination, [Formula: see text]. Because of its inclined configuration, this element possesses strong (and doubly tunable with respect to [Formula: see text] and energy) geometrically nonlinear stiffness and damping effects, despite the linear constitutive laws governing its constituent components. First, we consider a single-degree-of-freedom linearly grounded oscillator attached to the nonlinear inclined element. Omitting dissipative effects, we investigate the frequency–energy relation of this system by employing the canonical action-angle transformation and show that, depending on the initial angle of inclination and the energy-level, the resulting nonlinearity can be tuned to be softening, hardening or a combination of both. Next, we explore the efficacy of the geometric nonlinearity to induce strong modal interactions by considering a three-degree-of-freedom lightly damped primary system that is weakly coupled to a single-degree-of-freedom lightly damped attachment with the inclined nonlinear element, subjected to impulsive excitation. Varying [Formula: see text] and the input energy, we demonstrate strong modal energy-exchanges between the modes of the primary system and the nonlinear attachment over broad energy-dependent spans of [Formula: see text]. We show that the passive self-adaptiveness of the nonlinear damping and the hardening–softening geometric nonlinearity can induce narrowband or broadband frequency TET, including high-to-low frequency energy transfers. Interestingly, over a definitive range of [Formula: see text], these modal interactions may be limited only between the nonlinear mode of the attachment and the highest-frequency linear mode of the primary system, inducing strong high-frequency targeted energy transfer to the primary system.

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