Steady state dynamics of a non-linear beam coupled to a non-linear energy sink

Parseh, Masoumeh; Dardel, Morteza; Ghasemi, Mohammad Hassan; Pashaei, Mohammad Hadi

doi:10.1016/j.ijnonlinmec.2015.11.005

Cited by 53 publications

(5 citation statements)

References 36 publications

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“…International Journal of Energy Research two combinations under high excitation amplitude were obtained [71]. In addition, by analyzing the vibration behavior and excitation amplitude changes of nonlinear simply supported beams coupled to NES, it was proved that the TET phenomenon could suppress the transient vibration of different mechanical systems [72]. In general, under different excitation conditions, NES all showed satisfactory performance.…”

Section: Features and Advantages Of Nesmentioning

confidence: 93%

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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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Section: Features and Advantages Of Nesmentioning

confidence: 93%

“…The ratio between the energy located in the NES and the total energy present in the system gives a good indication of how the energy is distributed in the system. Also, the energy ratio is a good indicator for evaluating the vibration reduction performance of the system, which is given by the following equation [72]:…”

Section: Vibration Control Based On Nesmentioning

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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“…The resulting amplitude-frequency curves are depicted in the next section. 28 In order to analyse the stability of the system, linearization of the nonlinear equations about the steady-state solution is performed. After linearization, the Jacobian matrix is computed, and then stability analysis can be performed.…”

Section: Steady State Solution: Complex-averaging Methodsmentioning

confidence: 99%

Tuned mass damper and high static low dynamic stiffness isolator for vibration reduction of beam structure

Raei

Dardel

2019

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this work, the combination effect of tuned mass damper and high static low dynamic stiffness (HSLDS) isolator is investigated in reducing the vibration amplitude of Euler–Bernoulli beam with a nonlinear attachment. The performance of the absorber is studied in two cases; the first case, HSLDS isolator is one degree of freedom and the second case, two degree of freedom isolator is combined of HSLDS isolator and tuned mass damper absorber. By comparing the performance of these two isolators, it is revealed the two degree of freedom isolator has much better performance in direct force excitation and also improves the system performance in the base excitation. This isolator reduces the system amplitude at all frequencies, especially ultra-low frequencies, which is the main advantage to this isolator with respect to other isolators and reduces the natural frequency until the phenomenon of resonance occurs at a lower frequency. Moreover, decreasing the natural frequency increases the damping and in quasi zero stiffness and negative stiffness structure, the system has supercritical damping. This isolator is studied for positive, quasi zero and negative stiffness. The results show that the system with quasi zero stiffness has the best performances. Also, by increasing the excitation amplitude, the isolator loses its effectiveness.

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“…The NES is a new kind of nonlinear dynamic absorber proposed by Vakakis [29] and Gendelman et al [30] in 2001. Numerous investigations have proved that an NES with third-order nonlinear stiffness can remarkably reduce the vibration amplitude of the main vibration structure [31][32][33][34]. Recently, scholars have combined the NES and energy harvesters to achieve the dual efficacy goal, namely, vibration suppression and energy harvesting [35,36].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Response of Galfenol Cantilever Energy Harvester Considering Geometric Nonlinear with a Nonlinear Energy Sink

Wang,

Liu,

Liu

et al. 2024

Buildings

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The nonlinear energy sink (NES) and Galfenol material can achieve vibration suppression and energy harvesting of the structure, respectively. Compared with a linear structure, the geometric nonlinearity can affect the output performances of the cantilever beam structure. This investigation aims to present a coupled system consisting of a nonlinear energy sink (NES) and a cantilever Galfenol energy harvesting beam with geometric nonlinearity. Based on Hamilton’s principle, linear constitutive equations of magnetostrictive material, and Faraday’s law of electromagnetic induction, the theoretical dynamic model of the coupled system is proposed. Utilizing the Galliakin decomposition method and Runge–Kutta method, the harvested power of the external load resistance, and tip vibration displacements of the Galfenol energy harvesting model are analyzed. The influences of the external excitation, external resistance, and NES parameters on the output characteristic of the proposed coupling system have been investigated. Results reveal that introducing NES can reduce the cantilever beam’s vibration while considering the geometric nonlinearity of the cantilever beam can induce a nonlinear softening phenomenon for the output behaviors. Compared to the linear system without NES, the coupling model proposed in this work can achieve dual efficacy goals over a wide range of excitation frequencies when selecting appropriate parameters. In general, large excitation amplitude and NES stiffness, small external resistance, and small or large NES damping values can achieve the effect of broadband energy harvesting.

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Steady state dynamics of a non-linear beam coupled to a non-linear energy sink

Cited by 53 publications

References 36 publications

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

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

Tuned mass damper and high static low dynamic stiffness isolator for vibration reduction of beam structure

Nonlinear Dynamic Response of Galfenol Cantilever Energy Harvester Considering Geometric Nonlinear with a Nonlinear Energy Sink

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