Dynamics of an electromagnetic vibro-impact nonlinear energy sink, applications in energy harvesting and vibration absorption

Li, Haiqin; Li, Ang; Kong, Xiangbin; Xiong, Huai

doi:10.1007/s11071-022-07253-5

Cited by 33 publications

(13 citation statements)

References 49 publications

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“…All results are illustrated in the context of the VI-EH model ( 7) and ( 8). We note that similar analyses were applied to a slowly varying subsystem in a vibro-impact nonlinear energy sink, based on an impact pair (see [40] and references therein. )…”

Section: Analytical Results For Bifurcationsmentioning

confidence: 99%

“…Other grazing-related features studied in SDOF VI systems include a dramatic increase in eigenvalues of unstable solutions near grazing, in [18], vanishing singularities of the Jacobian matrix in [21], sufficient conditions for periodic orbits that branch off of the grazing bifurcation [22], and comparisons of Nordmark and Poincaré maps to study grazing born from high-amplitude chaotic attractors [13]. In addition to the above-mentioned studies there are others, including [23][24][25][26] SDOF systems with linear dynamics between one-sided impacts, linear SDOFs with twosided impacts [27][28][29][30][31][32][33][34] and oblique impacts [35], as well as multi-DOF systems with impacts [14,15,[36][37][38][39][40]. Relevant information and references for the dynamics and bifurcations in non-smooth systems and related analytical methods can be found in books [4][5][6]41,42] and in the review paper [43].…”

Section: Introductionmentioning

confidence: 99%

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Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs

2022

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A combined analysis of smooth and non-smooth bifurcations captures the interplay of different qualitative transitions in a canonical model of an impact pair, a forced capsule in which a ball moves freely between impacts on either end of the capsule. The analysis, generic for the impact pair context, is also relevant for applications. It is applied to a model of an inclined vibro-impact energy harvester device, where the energy is generated via impacts of the ball with a dielectric polymer on the capsule ends. While sequences of bifurcations have been studied extensively in single- degree-of-freedom impacting models, there are limited results for two-degree-of-freedom impacting systems such as the impact pair. Using an analytical characterization of impacting solutions and their stability based on the maps between impacts, we obtain sequences of period doubling and fold bifurcations together with grazing bifurcations, a particular focus here. Grazing occurs when a sequence of impacts on either end of the capsule are augmented by a zero-velocity impact, a transition that is fundamentally different from the smooth bifurcations that are instead characterized by eigenvalues of the local behavior. The combined analyses allow identification of bifurcations also on unstable or unphysical solutions branches, which we term ghost bifurcations. While these ghost bifurcations are not observed experimentally or via simple numerical integration of the model, nevertheless they can influence the birth or death of complex behaviors and additional grazing transitions, as confirmed by comparisons with the numerical results. The competition between the different bifurcations and their ghosts influences the parameter ranges for favorable energy output; thus, the analyses of bifurcation sequences yield important design information.

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Section: Analytical Results For Bifurcationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs

2022

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“…With appropriate parameter design, VINES based on electromagnetic energy conversion could stably collect more than 80% vibration energy, as shown in Figure 16 [47]. Compared to traditional NES energy harvesting devices, VINES-based energy harvesters could be used for instantaneous high-density energy harvesting [139,140].…”

Section: Nes-based Energy Harvestersmentioning

confidence: 99%

Design, Optimization, and Application of Nonlinear Energy Sink in Energy Harvesting Device

Kang,

Tang,

Xia

et al. 2024

International Journal of Energy Research

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Vibration control has been of great interest to scientists and engineers for many years. Although linear vibration absorbers have been shown to be effective in mitigating vibrations at specific frequencies, their vibration reduction effect is usually limited to a narrow frequency bandwidth. Nonlinear energy sinks have attracted attention due to their better vibration reduction effect over a wider frequency bandwidth. In practical applications, the nonlinear energy sink devices can effectively absorb, dissipate, and convert energy from broadband excitation, so as to achieve vibration reduction and energy harvesting. However, research on energy harvesting based on the nonlinear energy sink is less mature than in linear systems. Multiple parameters of device design (e.g., damping size) affect the actual performance of the nonlinear energy sinks, but there is no exact method to simplify the design of the multiparameter nonlinear energy sinks. Since it is more difficult to implement electromagnetic and electrostatic energy harvesters, more research has focused on piezoelectric energy harvesters. This paper summarizes the research on the nonlinear energy sink and energy harvesting technology, including the introduction of the nonlinear energy sink, energy harvesting based on the nonlinear energy sink, and its application in various fields of energy harvesting. The paper also summarizes some important methods for solving the dynamical equations, as well as their advantages and disadvantages. The conclusions provide an outlook on the subsequent research of the nonlinear energy sink technology, such as the introduction of piezoelectric materials with high energy density, the benefits of balanced vibration suppression and harvesting of vibration energy, and the self-tuning of parameters in complex environments. It provides a powerful reference for the popularization and application of energy harvesting technology based on nonlinear energy sinks.

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“…The difference between the traditional VI NES and the Electromagnetic VI NES was investigated in [252]. Accordingly, the inelastic contact between the impact mass and the barriers causes the energy dissipation in the traditional VI NES, whereas in electromagnetic VI NES the electric damping as well as the impacts are the main sources for energy dissipation.…”

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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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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Dynamics of an electromagnetic vibro-impact nonlinear energy sink, applications in energy harvesting and vibration absorption

Cited by 33 publications

References 49 publications

Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs

Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs

Design, Optimization, and Application of Nonlinear Energy Sink in Energy Harvesting Device

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

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