Performance of non-smooth nonlinear energy sink with descending stiffness

Chen, Jianen; Sun, Min; Hu, Wen Hua; Zhang, Jian Hua; Wei, Zhou

doi:10.1007/s11071-020-05528-3

Cited by 54 publications

(15 citation statements)

References 36 publications

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“…2. Figures [12][13][14][15] show the variations in responses of the primary oscillator attached to different NESs. The system with the parallel NESs generates higher branches of responses at f = 0.004 in a frequency band that is slightly lower than the linear natural frequency of the primary oscillator.…”

Section: Coupling Influence Under Harmonic Excitationmentioning

confidence: 99%

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Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Chen

Zhang

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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Nonlinear energy sink (NES) can passively absorb broadband energy from primary oscillators. Proper multiple NESs connected in parallel exhibit superior performance to single-degree-of-freedom (SDOF) NESs. In this work, a linear coupling spring is installed between two parallel NESs so as to expand the application scope of such vibration absorbers. The vibration absorption of the parallel and parallel-coupled NESs and the system response induced by the coupling spring are studied. The results show that the responses of the system exhibit a significant difference when the heavier cubic oscillators in the NESs have lower stiffness and the lighter cubic oscillators have higher stiffness. Moreover, the e±ciency of the parallel-coupled NES is higher for medium shocks but lower for small and large shocks than that of the parallel NESs. The parallel-coupled NES also shows superior performance for medium harmonic excitations until higher response branches are induced. The performance of the parallel-coupled NES and the SDOF NES is compared. It is found that, regardless of the chosen SDOF NES parameters, the performance of the parallel-coupled NES is similar or superior to that of the SDOF NES in the entire force range.

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Section: Coupling Influence Under Harmonic Excitationmentioning

confidence: 99%

“…Piecewise linear stiffness NES is straightforward to manufacture, and can effectively transfer energy [10][11][12] . NES with piecewise quadratic damping [13] and non-smooth NES with descending stiffness [14] can suppress high branches of response within a given range of excitation amplitude.…”

Section: Introductionmentioning

confidence: 99%

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Chen

Zhang

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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“…However, the exact solutions are hard to be computed in the LO-NES system. In previous studies, the steady-state responses of the LO-NES system can be approximately analyzed by the slow invariant manifold [26], the complexification-averaging method [38], and the harmonic balance method [39]. Yet the time history and amplitudes of aperiodic responses, e.g.…”

Section: Mechanical Modelmentioning

confidence: 99%

Optimal Design of Bistable Nonlinear Energy Sink Based on Global Vibration Control

Wang

Ding

Chen

2021

Preprint

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Although a linear vibration absorber (LVA) or nonlinear energy sink (NES) can effectively mitigate the vibration of the main system in harmonic excitation, the amplitude of the absorber can be very large. Using the single-objective differential evolutionary (DE) algorithm, this paper pioneers the global control of the main system and a bistable NES to achieve decent vibration mitigation effects and decrease the global response of the system. Using the multi-objective DE algorithms and comparing the optimization results of the LVA, this paper proposes multi-objective and multi-parameter design criteria of a bistable NES. The mass ratio, the displacement amplitude, and the mechanical energy are optimization goals. The results show that the maximum amplitude of the main system and the absorber can be controlled at the same level, and the global control strategy does not change the resonance frequency of the main system. Compared with the LVA, the bistable NES has similar vibration mitigation effects with the variation of the mass ratio in the multi-objective optimization. However, the bistable NES can achieve better control over a larger spring stiffness range. Therefore, through single- and multi-objective optimization design, this paper proves the superiority of the bistable NES in the vibration mitigation. Meanwhile, this paper provides an optimization design method for global vibration control.

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“…Other polynomial stiffnesses were featured in [10,18]. Recently, an interesting characteristic was proposed in [19]. It consists of two piecewise cubic characteristics.…”

Section: Introductionmentioning

confidence: 99%

The periodically extended stiffness nonlinear energy sink

Dekemele

Habib

Loccufier

2022

Mechanical Systems and Signal Processing

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Conventional nonlinear energy sinks (NES) are considered to be a more robust alternative to linear vibration absorbers such as the tuned-mass-damper (TMD). While the conventional NES has a larger efficient frequency bandwidth than the TMD, it is only really efficient for a small energy range. This implies a deterioration of the NES's mitigation properties if the primary system's amplitude varies. To overcome this issue, other researchers resort to increasing the complexity of the NES by adding degrees-of-freedom. Here, another line of thought is presented, by proposing an unconventional stiffness characteristic. To increase the energy bandwidth the NES in this paper features a non-smooth, periodically extended stiffness characteristic. This NES is attached to an uncertain primary system and its performance is compared with that of the conventional NES and of the TMD by deriving the slow invariant manifolds (SIMs) in transient 1:1 resonance. The SIMs are curves that relate the vibration amplitudes of the primary system and the NES, and serve as an easy and computationally efficient tool to analyze performance. The research in this paper will prove that the newly proposed NES can be both robust regarding energy and frequency uncertainty, by considering the novel periodically extended stiffness characteristic.

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Performance of non-smooth nonlinear energy sink with descending stiffness

Cited by 54 publications

References 36 publications

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Optimal Design of Bistable Nonlinear Energy Sink Based on Global Vibration Control

The periodically extended stiffness nonlinear energy sink

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