Multistability phenomenon in signal processing, energy harvesting, composite structures, and metamaterials: A review

Fang, Shitong; Zhou, Shengxi; Yurchenko, Daniil; Yang, Tao; Liao, Wei-Hsin

doi:10.1016/j.ymssp.2021.108419

Cited by 161 publications

(53 citation statements)

References 346 publications

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“…en, substituting formulas equations ( 20) and ( 21) into equations ( 18) and (19), respectively, we obtain the following equations:…”

Section: Harmonic Balance Analysismentioning

confidence: 99%

“…e nonlinearity of piezoelectric energy harvesters induced by magnetic forces is usually classi ed into three main categories, namely, monostable [15,16], bistable [17,18], and tristable [19,20]. Bistable piezoelectric energy harvesters (2 stable and 1 unstable equilibrium positions) have been extensively investigated and their broadband advantages over linear energy harvesters have been veri ed in simulations and experiments [21,22].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Dynamic Analysis of Bistable Piezoelectric Energy Harvester with a New-Type Dynamic Amplifier

Man

et al. 2022

Computational Intelligence and Neuroscience

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A distributed parametric mathematical model of a new-type dynamic magnifier for a bistable cantilever piezoelectric energy harvester is proposed by using the generalized Hamilton principle. The new-type dynamic magnifier consists of a two-spring-mass system, one is placed between the fixed end of the piezoelectric beam and the L-shaped frame, and the other is placed between the L-shaped frame and the base structure. We used the harmonic balance method to obtain the analytical expressions for the steady-state displacement, steady-state output voltage, and power amplitude of the system. The effect of the distance between the magnets, the spring stiffness ratio and mass ratio of the two dynamic magnifiers, and the load resistance on the performance of the harvester is investigated. Analytical results show that compared with the bistable piezoelectric energy harvester with a typical spring-mass dynamic magnifier, the proposed new-type energy harvester system with a two-spring-mass dynamic magnifier can provide higher output power over a broader frequency band, and increasing the mass ratio of the magnifier tip mass to the tip magnet can significantly increase the output power of the BPEH + TDM system. Properly choosing the stiffness ratio of the two dynamic amplifiers can obviously improve the harvested power of the piezoelectric energy harvester at a low excitation level.

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“…en, substituting formulas equations ( 20) and ( 21) into equations ( 18) and (19), respectively, we obtain the following equations:…”

Section: Harmonic Balance Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of Bistable Piezoelectric Energy Harvester with a New-Type Dynamic Amplifier

Man

et al. 2022

Computational Intelligence and Neuroscience

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“…Due to these limitations, parametric excitation and nonlinearities are often introduced into systems to improve their performance and amplify their response [8][9][10]. In addition, due to the high efficiency of EH, multistable equilibria systems became increasingly popular in various realistic applications [11][12][13]. The study of vibro-impact (VI) systems for EH and the benefits of exploiting their dynamical behavior were proposed in [14,15].…”

Section: Introductionmentioning

confidence: 99%

Global Dynamics of a Vibro-Impact Energy Harvester

Cao

et al. 2022

Mathematics

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In this paper, we consider a two-sided vibro-impact energy harvester described as a forced cylindrical capsule inclined at a horizontal angle, and the motion of the ball inside the capsule follows from the impacts with the capsule ends and gravity. Two distinct cases of dynamical behavior are investigated: the nondissipative and dissipative cases, where the dissipation is given by a restitution coefficient of impacts. We show that the dynamics of the system are described by the use of a 2D implicit map written in terms of the variables’ energy and time when the ball leaves the moving capsule ends. More precisely, in the nondissipative case, we analytically show that this map is area-preserving and the existence of invariant curves for some rotation number with Markoff constant type is proved according to Moser’s twist theorem in high energy. The existence of invariant curves implies that the kinetic energy of the ball is always bounded, and hence, the structure of system is not destroyed by the impacts of the ball. Furthermore, by numerical analysis we also show that the dynamical behavior of this system is regular, mainly containing periodic points, invariant curves and Aubry–Mather sets. After introducing dissipation, the dissipation destroys the regular dynamical behavior of the nondissipative case, and a periodic point with low energy is generated.

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“…According to the conductive mechanism, the conversion can be divided into piezoelectric [6][7][8][9], electromagnetic [10][11][12][13][14], and electrostatic [15][16][17][18]. The electromagnetic vibration energy harvester has simple structure, small internal resistance, high current, and easy processing compared to other types of energy harvesters, thus receiving more and more research and attention [19][20][21][22]. Conventional electromagnetic generators generally include stators, rotors, bearings, etc.…”

Section: Introductionmentioning

confidence: 99%

A Magnetically Coupled Electromagnetic Energy Harvester with Low Operating Frequency for Human Body Kinetic Energy

Meng

Yang

et al. 2021

Micromachines

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In this paper, a magnetically coupled electromagnetic energy harvester (MCEEH) is proposed for harvesting human body kinetic energy. The proposed MCEEH mainly consists of a pair of spring-connected magnets, coils, and a free-moving magnet. Specifically, the interaction force between the magnets is repulsive. The main feature of this structure is the use of a magnetic-spring structure to weaken the hardening response caused by the repulsive force. The magnetic coupling method enables the energy harvester system to harvest energy efficiently at low frequency. The MCEEH is experimentally investigated for improving energy harvesting efficiency. Under harmonic excitation with an acceleration of 0.5 g, the MCEEH reaches resonance frequency at 8.8 Hz and the maximum output power of the three coils are 5.2 mW, 2.8 mW, and 2.5 mW, respectively. In the case of hand-shaking excitation, the generator can obtain the maximum voltage of 0.6 V under the excitation acceleration of 0.2 g and the excitation frequency of 3.4 Hz. Additionally, a maximum instantaneous power can be obtained of about 26 mW from the human body’s kinetic energy

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Multistability phenomenon in signal processing, energy harvesting, composite structures, and metamaterials: A review

Cited by 161 publications

References 346 publications

Nonlinear Dynamic Analysis of Bistable Piezoelectric Energy Harvester with a New-Type Dynamic Amplifier

Nonlinear Dynamic Analysis of Bistable Piezoelectric Energy Harvester with a New-Type Dynamic Amplifier

Global Dynamics of a Vibro-Impact Energy Harvester

A Magnetically Coupled Electromagnetic Energy Harvester with Low Operating Frequency for Human Body Kinetic Energy

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