A multi-stable energy harvester: Dynamic modeling and bifurcation analysis

Kim, Pilkee; Seok, Jongwon

doi:10.1016/j.jsv.2014.05.054

Cited by 158 publications

(76 citation statements)

References 33 publications

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“…Recently, theoretical analysis and experimental validation for frequency bandwidth and performance enhancement using nonlinearity in vibration energy harvesting have received great research interest. Particularly, monostable, 1-5 bistable, [6][7][8][9][10][11][12][13][14][15][16] and tristable [17][18][19] nonlinear oscillators with different types of potential wells induced by nonlinear stiffness characteristics have been extensively investigated to maximize the output power over the wide range of frequency. Daqaq 15 theoretically investigated the response of a bistable electromagnetic energy harvester subject to white and exponentially correlated Gaussian noise and specifically showed that there exists an optimal potential shape for maximizing the output power under a given noise intensity and bandwidth.…”

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confidence: 99%

“…Their energy harvesting experimental results were in agreement with the conclusions proposed by Harne and Wang 28 that high-energy interwell oscillations for maximizing the device performance under low excitation level is impossible to achieve due to the difficulty of overcoming the potential barrier between two stable equilibria. In order to improve the sensitivity of such oscillations to low excitation level, a tristable configuration was proposed by Zhou et al 18 and Kim et al 17 for improving the broadband performance of energy harvesting from ambient vibrations with low amplitude.…”

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confidence: 99%

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Influence of potential well depth on nonlinear tristable energy harvesting

Cao

Zhou

Wang

et al. 2015

Applied Physics Letters

164

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Numerical and experimental investigation into the influence of potential well depth on tristable energy harvesting performance is provided. The potential well depth depending on the polynomial coefficients of nonlinear restoring force is analyzed along with its effect on the numerical energy harvesting performance. Experiment results reveal that the geometry parameters of the multi-stable configuration can alter the potential function of tristable energy harvesters. Moreover, the shallower potential well depth will enhance the broadband performance and the capability of harvesting energy from low frequency ambient vibration.

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confidence: 99%

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confidence: 99%

Influence of potential well depth on nonlinear tristable energy harvesting

Cao

Zhou

Wang

et al. 2015

Applied Physics Letters

164

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“…Thus, other than producing inhomogeneous, complex deformation of free standing MAE samples, itʼs also desirable to render materials with the ability of responding or deforming diversely in time. In previous works, a most famous and straightforward way to diversify the temporal responses of a system is to introduce nonlinear dynamics (Qian et al 2019, Kim and Seok 2014, Zhou and Zuo 2018, Zhou et al 2017. But, it often requires a complex structural design and usually works for certain frequencies.…”

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confidence: 99%

Diversifying temporal responses of magnetoactive elastomers

Tan

Wen

Gong

et al. 2020

Mater. Res. Express

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Magnetoactive elastomers(MAEs) are able to deform significantly in response to the application of magnetic fields. Usually, a magnetic field which is harmonic in time usually results in a harmonic mechanical response of the MAEs. To render MAEs with the ability of responding or deforming diversely or anharmonically in time, in this work, we propose a hybrid MAE which is based on a rubber matrix embedded with both soft iron particles and hard NdFeB-alloy particles. Firstly, based on the principle of minimum free energy, we establish a theoretical model to study magnetomechanical behaviors of the proposed hybrid MAEs. Then, through both theoretical and experimental studies, we show that the response of a hybrid MAE sample to the applied magnetic field is usually complex, i.e. the deformation induced by a harmonic magnetic field in time is anharmonic. At last, the effect of two main factors, the state of magnetization and the amplitude of the applied magnetic field, is studied both experimentally and theoretically. This work provides a new idea of diversifying the temporal response of MAEs to the application of harmonic magnetic fields (harmonic in time). The hybrid MAEs may serve as a complement to the recently proposed 3D-printed hard MAEs which are able to deform inhomogeneously in space in response to a uniform magnetic field.

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“…Subsequently, magnetic-repulsion-type bistable energy harvesters have been developed, using a single external magnet to provide magnetic repulsion [37][38][39] . The potential energy of a bistable system has two potential wells, one on each side of a potential barrier 40 . Achieving bistable motion (inter-well motion) requires that sufficient energy be provided by external excitations to overcome the potential barrier 37 .…”

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confidence: 99%

“…Taking bistable energy harvesters as a basis, by adjusting the spacing between the magnets 40 , changing the magnet inclination angles 41 , or increasing the number of external magnets 42 , multistable energy harvesters, such as tri-stable 34,42 and even quadstable 43,44 harvesters, have been proposed. Theoretical and experimental studies of multistable energy harvesters show that increasing the number of stable equilibrium states contributes to broadening the working frequency bands while harvesting energy from low-intensity vibrational sources 45,46 .…”

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confidence: 99%

Poly-stable energy harvesting based on synergetic multistable vibration

Deng

Wang

et al. 2019

Commun Phys

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Distributed energy sources, for example the ambient broadband vibrations, are of great importance for the development of the Internet of Things. However, for multistable vibrational energy harvesters, increasing the number of stable equilibrium states to broaden working frequency bands is very difficult. Here we present a poly-stable vibrational energy harvesting approach capable of achieving an exponentially growing maximum number of stable equilibrium states. Unlike the traditional multistable harvesters relying on an external static magnetic field, the nonlinear dynamical behaviours achieved by the proposed approach are synergetic poly-stable motions without the need of external magnets. Comparison experiments in contrast with a linear harvester demonstrate the working bandwidth widened by a factor of 41.0, the power density increased to 760% and the electricity generation raised to 178%. This demonstration of new multistable energy harvester expands the approach to achieving multistable motion and provides a new design philosophy for nonlinear vibrational energy harvesters.

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A multi-stable energy harvester: Dynamic modeling and bifurcation analysis

Cited by 158 publications

References 33 publications

Influence of potential well depth on nonlinear tristable energy harvesting

Influence of potential well depth on nonlinear tristable energy harvesting

Diversifying temporal responses of magnetoactive elastomers

Poly-stable energy harvesting based on synergetic multistable vibration

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