Global dynamics and performance of vibration reduction for a new vibro-impact bistable nonlinear energy sink

Li, Shuangbao; Wu, Honglei; Chen, Jianen

doi:10.1016/j.ijnonlinmec.2021.103891

Cited by 32 publications

(6 citation statements)

References 30 publications

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“…Given the complicated algorithms followed by these methods, they are better than contour plots (double-for loops) Fig. 9 Schematic diagram of a 2-DOF system coupled with a VI-BNES [253] for locating the global and local maximums or minimums for multiple input parameters because they involve the synergistic effects between all the NES parameters. Lastly, from the review conducted, it was found that there is one major difference observed between the works that consider seismic excitations and those that consider impulsive excitations.…”

Section: Efficiency Measures and Optimization Proceduresmentioning

confidence: 99%

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A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types

2022

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Dynamical and structural systems are susceptible to sudden excitations and loadings such as wind gusts, blasts, earthquakes, and others which may cause destructive vibration amplitudes and lead to catastrophic impact on human lives and economy. Therefore, various vibration absorbers of linear and nonlinear coupling dynamics have been widely studied in plenty of publications where some have been applied in real-world practical applications. Firstly, the tuned-mass-damper (TMD), the first well-known linear vibration absorber that has been well-studied in the literature and applied with various structural and dynamical systems, is discussed. The linear vibration absorbers such as TMDs are widely used in real-life small- and large-scale structures due to their robust performance in vibration suppression of the low natural frequency structural modes. However, the TMD performs efficiently at narrowband frequency range where its performance is deteriorated by any changes in the frequency content in the structure and the TMD itself. Therefore, the targeted-energy-transfer mechanism which is found to be achieved by nonlinear energy sinks (NESs) has ignited the interest in passive nonlinear vibration suppression. Unlike TMDs, the NESs are dynamical vibration absorbers that achieve vibration suppression for wide range of frequency-energy levels. Given the very rapid growth in this field and the extensive research studies supporting the robustness of the NESs, this paper presents the different types of NESs and their applications with main emphasis on the rotary-based and impact-based NESs since they are of high impact in the literature due to their strong nonlinear dynamical behavior and robust targeted energy transfer.

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Section: Efficiency Measures and Optimization Proceduresmentioning

confidence: 99%

“…A new NES that combines the characteristics of vibroimpact and bistability in one NES, called VI BNES is shown in Fig. 9 and has been investigated in [253]. The Melnikov method which is used with non-smooth systems was employed for studying the global dynamics of the VI-BNES system.…”

Section: Improvements Of VI Nessmentioning

confidence: 99%

A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types

2022

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“…Wu et al used an approximate analytical method to optimize the design of the BNES [26] and conducted semi-analytical estimation and experimental verification of the energy pumping time [27]. Li [28] developed a novel VI-BNES that combines bistable and vibration-impact characteristics to help dissipate more input impulse energy and effectively achieve TET in a short time. Zeng [29] designed a BNES in the form of a buckling beam, which can reduce the threshold of the inter-well jumps to suppress the micro-vibration effectively and robustly.…”

Section: Introductionmentioning

confidence: 99%

A novel vari-potential bistable nonlinear energy sink for improved vibration suppression: Numerical and experimental study

Liao

Chen

Zhou

et al. 2023

Preprint

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A novel vari-potential energy bistable nonlinear energy sink (VBNES) is proposed in this paper. By introducing a pair of tuned oscillators (TOs) to dynamically adjust the potential barrier height of the BNES, the excitation threshold of the strong modulated response (SMR) is reduced and its vibration suppression ability is enhanced, especially under ultra-low and wide-amplitude excitation. Firstly, the dimensionless theoretical models of the VBNES and the fixed-potential BNES (FBNES) are constructed by the Lagrange equation. The actual response trajectories on the potential energy surface and restoring force surface are numerically tracked to verify the benefit of variable potential energy effect on vibration suppression. The dynamical characteristics of the typical target energy transfer (TET) mechanisms of the VBNES and their contributions to energy dissipation are analyzed. Furthermore, the transient responses and energy dissipation rates of the VBNES and FBNES with optimal stiffness under impact excitation are compared. The results indicate that the VBNES has higher impact vibration absorption efficiency and stronger robustness. The influences of system parameters on energy dissipation rate are analyzed. Finally, the experimental and numerical studies under harmonic excitation are carried out. The experimental results verify the correctness of the theoretical model. The complex dynamics under numerical frequency and amplitude sweeps demonstrate that the VBNES has a lower excitation threshold of the SMR and a broadband SMR. Parametric studies show that the optimal stiffness depends on the excitation amplitude.

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“…Additionally, Vakakis et al [16] investigated the dynamical properties of a one-dimensional chain with NESs, which could remarkably arrest the propagating waves. The dynamic characteristics of bi-stable NES systems were also studied and some fundamental insights for the NES optimal design were proposed [17][18] . Besides, the parallel NES was shown to achieve more efficient TET [19] .…”

Section: Introductionmentioning

confidence: 99%

Fractional nonlinear energy sinks

Zhang

Zhou

Ding

et al. 2023

Appl. Math. Mech.-Engl. Ed.

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The cubic or third-power (TP) nonlinear energy sink (NES) has been proven to be an effective method for vibration suppression, owing to the occurrence of targeted energy transfer (TET). However, TET is unable to be triggered by the low initial energy input, and thus the TP NES would get failed under low-amplitude vibration. To resolve this issue, a new type of NES with fractional nonlinearity, e.g., one-third-power (OTP) nonlinearity, is proposed. The dynamic behaviors of a linear oscillator (LO) with an OTP NES are investigated numerically, and then both the TET feature and the vibration attenuation performance are evaluated. Moreover, an analogy circuit is established, and the circuit simulations are carried out to verify the design concept of the OTP NES. It is found that the threshold for TET of the OTP NES is two orders of magnitude smaller than that of the TP NES. The parametric analysis shows that a heavier mass or a lower stiffness coefficient of the NES is beneficial to the occurrence of TET in the OTP NES system. Additionally, significant energy transfer is usually accompanied with efficient energy dissipation. Consequently, the OTP NES can realize TET under low initial input energy, which should be a promising approach for micro-vibration suppression.

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Global dynamics and performance of vibration reduction for a new vibro-impact bistable nonlinear energy sink

Cited by 32 publications

References 30 publications

A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types

A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types

A novel vari-potential bistable nonlinear energy sink for improved vibration suppression: Numerical and experimental study

Fractional nonlinear energy sinks

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