A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity

Zang, Jian; Cao, Runqing; Zhang, Yewei; Fang, Bo; Chen, Liqun

doi:10.1016/j.cnsns.2020.105620

Cited by 60 publications

(18 citation statements)

References 51 publications

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“…Detailed bifurcation analysis on Poincare ´maps and frequency response plots of the LNES with harmonically excited SDOF spring-mass system has been performed in [142] to understand the nonlinear dynamical signature of the LNES. The observed bifurcations were mainly the saddle-node and Neimark-Sacker bifurcations [143,144]. The concept of the lever-type NES is illustrated in Fig.…”

Section: Other Kinds or Modified Nessmentioning

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: Other Kinds or Modified Nessmentioning

confidence: 99%

“…5. Lever-type NES [141][142][143][144]: The lever-type NES (LNES) was firstly proposed in [141] for effective suppression of harmonic excitation resonance amplitudes in 2-DOF dynamical system. The study in [141] has employed harmonic balance and numerical simulation methods to verify the efficacy of the proposed LNES.…”

Section: Other Kinds or Modified Nessmentioning

confidence: 99%

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

2022

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“…To improve the e ciency of energy transfer, several components have been considered to modify the standard NES, thereby forming several novel vibration absorption devices such as lever-type [13], limitedtype [14,15], encapsulated-type [16], collision enhanced-type [17], inertial-type [18], and stiffness descending-type [19]. Recently, studies about NESs have merged with energy harvesting, which is another hot research topic that concentrates on the energy transfer between mechanical and electrical sources of energy [20,21]. In view of the bright prospects of NESs, investigations about the energy transfer between vibratory systems and NESs are expected to be continued for a long time.…”

Section: Introductionmentioning

confidence: 99%

Cross-scale energy transfer of chaotic oscillator chain in stiffness-dominated range

et al. 2022

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The investigations on the dynamics of hierarchical oscillator chains provide basic theories for the elds of acoustic metamaterial and passive guidance of energy ow. In the present study, the characteristics of stiffness-dominated energy transfer of a reduced cross-scale oscillator chain that generates chaotic vibrations are studied. The semi-analytical solutions are obtained by the complexi cation-averaging method and the least-square method for thoroughly searching the branches of responses. Then the energy transfer patterns of the oscillator chain are analyzed based on Runge-Kutta method. Moreover, chaotic responses are determined using the displacements and Lyapunov exponents of the system. The average energy and normalized energy ux are de ned to evaluate the energy distribution in each oscillator and the energy transfer between oscillators, respectively. The semi-analytical results show that the oscillator chain produces complex unstable branches of response around the resonance frequency of the linear oscillator. It is found that the detached higher branches of response of the chain are similar to that of a system consisting of one linear oscillator and one cubic oscillator. When chaotic responses occur, the energy transfer patterns that re ected by average energy and normalized energy ux are similar in the same branch of response for different excitation frequencies. However, energy transfer patterns in different branches of response are quite different even at the same excitation frequency, and the higher branch generates the lower energy transfer. Furthermore, analyses of the input energy and the scale between cubic oscillators demonstrate that variations of the two parameters slightly affect the normalized energy ux.

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“…The advantages of levers and X-shaped architectures were used to propose a low-frequency broadband vibration isolator with good effects (Liu et al, 2015(Liu et al, , 2016. Dynamic characteristics of the lever-type NES were analyzed (Zang and Zhang, 2019;Zang et al, 2021). They combined the lever-type NES with the energy harvester to study the vibration isolation and energy harvesting of the system.…”

Section: Introductionmentioning

confidence: 99%

Parameters optimization of dynamic vibration absorber based on grounded stiffness, inerter, and amplifying mechanism

Peng

Shen

Yang

et al. 2021

Journal of Vibration and Control

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In the field of dynamics and control, some typical vibration devices, including grounded stiffness, inerter and amplifying mechanism, have good vibration isolation and reduction effects, especially in dynamic vibration absorber (DVA). However, most of the current research studies only focus on the performance of a single device on the system, and those DVAs are gradually becoming difficult to meet the growth of performance demand for vibration control. On the basis of Voigt dynamic vibration absorber, a novel dynamic vibration absorber model based on the combined structure of grounded stiffness, inerter, and amplifying mechanism is presented, and the analytical solution of the optimal design formula is derived. First, the motion differential equation of the system is established, and the normalized amplitude amplification factor of the displacement is calculated. It is found that the system has three fixed points unrelated to the damping ratio. The optimal frequency ratio is obtained based on the fixed-point theory. In order to ensure the stability of the system, it is found that inappropriate inerter coefficient will cause the system instable when screening optimal grounded stiffness ratio. Accordingly, the best working range of inerter is determined. Finally, optimal grounded stiffness ratio and approximate optimal damping ratio are also obtained. The influence of inerter coefficient and magnification ratio on the response of the primary system is analyzed. The correctness of the derived analytical solution is verified by numerical simulation. Compared with other dynamic vibration absorbers, it is verified that presented model has superior vibration absorption performance and provides a theoretical basis for the design of a new type of dynamic vibration absorbers.

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A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity

Cited by 60 publications

References 51 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

Cross-scale energy transfer of chaotic oscillator chain in stiffness-dominated range

Parameters optimization of dynamic vibration absorber based on grounded stiffness, inerter, and amplifying mechanism

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