On the dynamic response regimes of a viscoelastic isolation system integrated with a nonlinear energy sink

Huang, Dongmei; Li, Ruihong; Yang, Guidong

doi:10.1016/j.cnsns.2019.104916

Cited by 36 publications

(11 citation statements)

References 32 publications

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“…e effect of the damping coefficient on the first-order steady-state moment is shown in Figure 7. It can be found that the different phenomena also appear along with the change in the damping coefficient under different detuning 8 Complexity parameters. When the detuning parameter σ is small, the response curve is one independent semicircle, as shown in Figure 7(a) (σ � − 0.7 and σ � − 0.5).…”

Section: Complexitymentioning

confidence: 94%

“…Vibration energy harvesting is expected to replace some small traditional chemical batteries and permanently supply power for the low-powered wireless sensors and actuators and also can promote structural health monitoring [1][2][3][4][5]. Recently, vibrational nonlinear energy harvesters have been receiving more and more attention because they have the better energy harvesting performance than traditional linear energy harvesters under time-varying ambient environmental excitations [4][5][6][7][8][9]. By far, di erent kinds of highperformance nonlinear energy harvesters have been designed based on geometric nonlinearity, additional nonlinear magnetic force, residual thermal stress, or active/ passive control strategies [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

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Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

2019

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To improve energy harvesting performance, this paper investigates the resonance mechanism of nonlinear vibrational multistable energy harvesters under narrow-band stochastic parametric excitations. Based on the method of multiple scales, the largest Lyapunov exponent which determines the stability of the trivial steady-state solutions is derived. The first kind modified Bessel function is utilized to derive the solutions of the responses of multistable energy harvesters. Then, the first-order and second-order nontrivial steady-state moments of multistable energy harvesters are considered. To explore the stochastic bifurcation phenomenon between the nontrivial and trivial steady-state solutions, the Fokker–Planck–Kolmogorov equation corresponding to the two-dimensional Itô stochastic differential equations is solved by using the finite difference method. In addition, the mechanism of the stochastic bifurcation of multistable energy harvesters is analyzed for revealing their unique dynamic response characteristics.

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Section: Complexitymentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

2019

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“…In the design of the NES, multiple vibration mitigation measures need considering, such as the amplitude of the main system, energy dissipation rate of the NES, energy decaying duration of the whole system, and transmissibility of the system [22][23][24][25][26][27][28]. Besides, other indexes, like the stability range of the response [29] and the economic factors of the structure [30], should be in consideration.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of Bistable Nonlinear Energy Sink Based on Global Vibration Control

Wang

Ding

Chen

2021

Preprint

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Although a linear vibration absorber (LVA) or nonlinear energy sink (NES) can effectively mitigate the vibration of the main system in harmonic excitation, the amplitude of the absorber can be very large. Using the single-objective differential evolutionary (DE) algorithm, this paper pioneers the global control of the main system and a bistable NES to achieve decent vibration mitigation effects and decrease the global response of the system. Using the multi-objective DE algorithms and comparing the optimization results of the LVA, this paper proposes multi-objective and multi-parameter design criteria of a bistable NES. The mass ratio, the displacement amplitude, and the mechanical energy are optimization goals. The results show that the maximum amplitude of the main system and the absorber can be controlled at the same level, and the global control strategy does not change the resonance frequency of the main system. Compared with the LVA, the bistable NES has similar vibration mitigation effects with the variation of the mass ratio in the multi-objective optimization. However, the bistable NES can achieve better control over a larger spring stiffness range. Therefore, through single- and multi-objective optimization design, this paper proves the superiority of the bistable NES in the vibration mitigation. Meanwhile, this paper provides an optimization design method for global vibration control.

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“…[5][6][7][8][9][10] Meanwhile, researchers found that resonant-based vibration energy harvesters cannot work properly when the excitation frequency shifts from their natural frequencies. [11][12][13][14] For achieving broadband energy harvesting, an advanced design including nonlinearities was proposed to develop suitable vibration energy harvesters. [15][16][17][18][19][20][21] In order to test the broadband energy harvesting performance, Cottone et al 22 designed a bistable energy harvester and found a good performance for energy harvesting from random vibrations.…”

Section: Introductionmentioning

confidence: 99%

“…where it is assumed that X À1 ðtÞ is zero. Substituting equations (12) and (13) into equations (10) and (11), we can derive…”

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confidence: 99%

Response analysis of the nonlinear vibration energy harvester with an uncertain parameter

Huang

Zhou

Han

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, the Chebyshev polynomial approximation is firstly utilized to analyze the dynamical characteristics of the nonlinear vibration energy harvester with an uncertain parameter. First, the stochastic energy harvester is transformed into a high-dimensional equivalent deterministic system by the Chebyshev polynomial approximation. And the ensemble mean response of the stochastic energy harvester is introduced to discuss the stochastic response. Then, the effectiveness of the approximation method is verified by numerical results. Furthermore, the bifurcation property of the displacement and voltage is analyzed, which is also consistent with the results derived by the top Lyapunov exponent. It is found that random factor can induce the appearance of multi-periodic phenomena and lead to appear the behavior of the periodic bifurcation. The strong random factor induces the fluctuation of the output voltage. In addition, the existence of the random factor greatly influences the property of the sub-harmonics and super-harmonics of the spectrum. Overall, the response mechanism of the nonlinear vibration energy harvester with an uncertain parameter is revealed.

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On the dynamic response regimes of a viscoelastic isolation system integrated with a nonlinear energy sink

Cited by 36 publications

References 32 publications

Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

Optimal Design of Bistable Nonlinear Energy Sink Based on Global Vibration Control

Response analysis of the nonlinear vibration energy harvester with an uncertain parameter

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