The concept of simultaneous energy harvesting and vibration suppression has made tremendous progress in the past few years. However, the energy harvesting and vibration reduction seem to be independent, or even paradox in some scenarios; for example, energy harvesting strategy expects the primary system to maintain large-amplitude vibration as long as possible. In comparison, the vibration suppression strategy aims to suppress the vibration of primary system as soon as possible. In this paper, we aim to demonstrate how to properly design an integrated system, which first ensures the broadband vibration suppression performance, while at the same time, harvests additional energy as much as possible. To achieve this goal, a cascaded essentially nonlinear system is presented for high-sensitive vibration and harvesting energy. The presented device comprises a nonlinear energy sink and a nonlinear energy harvester with cascaded essential nonlinearities. Numerical results show that the presented device is able to simultaneously suppress vibration and harvest vibration energy over a wide frequency range. Moreover, unlike previous research, it is effective for extremely small initial impulses. This work explores possibilities for reducing and harvesting extremely low ambient vibration.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
Tax calculation will be finalised during checkout.
Lu, Z.Q., Chen, L.Q., Brennan, M., Yang, T.J., Ding, H., Liu, Z.G.: Stochastic resonance in a nonlinear mechanical vibration isolation system. J. Sound Vib. 370, 221–229 (2016)
Virgin, L.N., Santillan, S.T., Plaut, R.H.: Vibration isolation using extreme geometric nonlinearity. J. Sound Vib. 315(3), 21–731 (2008)
Sun, X.T., Jing, X.J.: Multi-direction vibration isolation with quasi-zero stiffness by employing geometrical nonlinearity. Mech. Syst. Signal Process. 62–63, 149–163 (2015)
Peng, Z.K., Meng, G., Lang, Z.Q., Zhang, W.M., Chu, F.L.: Study of the effects of cubic nonlinear damping on vibration isolations using Harmonic Balance Method. Int. J. Non-Linear Mech. 47(10), 1073–1080 (2012)
Gendelman, O., Manevitch, L.I., Vakakis, A.F., M’closkey, R.: Energy pumping in nonlinear mechanical oscillators: part I—dynamics of the underlying Hamiltonian systems. J. Appl. Mech. 68(1), 34–41 (2001)
Vakakis, A.F., Gendelman, O.: Energy pumping in nonlinear mechanical oscillators: part II—resonance capture. J. Appl. Mech. 68(1), 42–48 (2001)
Dai, H.L., Abdelkefi, A., Wang, L.: Vortex-induced vibrations mitigation through a nonlinear energy sink. Commun. Nonlinear Sci. Numer. Simul. 42, 22–36 (2018)
Bab, S., Khadem, S.E., Shahgholi, M., Abbasi, A.: Vibration attenuation of a continuous rotor-blisk-journal bearing system employing smooth nonlinear energy sinks. Mech. Syst. Signal Process. 84, 128–157 (2017)
Tehrani, G.G., Dardel, M.: Mitigation of nonlinear oscillations of a Jeffcott rotor System with an optimized damper and nonlinear energy sink. Int. J. Non-Linear Mech. 98, 122–136 (2018)
Yang, T.Z., Yang, X.D., Li, Y., Fang, B.: Passive and adaptive vibration suppression of pipes conveying fluid with variable velocity. J. Vib. Control 20, 1293–1300 (2014)
Yang, K., Zhang, Y.W., Ding, H., Yang, T.Z., Li, Y., Chen, L.Q.: Nonlinear energy sink for whole-spacecraft vibration reduction. J. Vib. Acoust. 139(2), 021011 (2017)
Sun, Y.-H., Zhang, Y.W., Ding, H., Chen, L.Q.: Nonlinear energy sink for a flywheel system vibration reduction. J. Sound Vib. 429, 305–324 (2018)
Zhang, Y.W., Zhang, Z., Chen, L.Q., Yang, T.Z., Fang, B., Zang, J.: Impulse-induced vibration suppression of an axially moving beam with parallel nonlinear energy sinks. Nonlinear Dyn. 82(1–2), 61–71 (2015)
Chiacchiari, S., Romeo, F., McFarland, D.M., Bergman, L.A., Vakakis, A.F.: Vibration energy harvesting from impulsive excitations via a bistable nonlinear attachment. Int. J. Non-Linear Mech. 94, 84–97 (2017)
Kremer, D., Liu, K.F.: A nonlinear energy sink with an energy harvester: harmonically forced responses. J. Sound Vib. 410, 287–302 (2017)
Zhou, S.X., Zuo, L.: Nonlinear dynamic analysis of asymmetric tristable energy harvesters for enhanced energy harvesting. Commun. Nonlinear Sci. Numer. Simul. 61, 271–284 (2018)
Zhou, S.X., Cao, J., Inman, D.J., Lin, J., Liu, S.S., Wang, Z.: Broadband tristable energy harvester: modeling and experiment verification. Appl. Energy 133, 33–39 (2014)
Naseer, R., Dai, H.L., Abdelkefi, A., Wang, L.: Piezomagnetoelastic energy harvesting from vortex-induced vibrations using monostable characteristics. Appl. Energy 203, 142–153 (2017)
Jiang, W.A., Chen, L.Q.: Snap-through piezoelectric energy harvesting. J. Sound Vib. 333(18), 4314–4325 (2014)
Zhang, Y., Tang, L.H., Liu, K.F.: Piezoelectric energy harvesting with a nonlinear energy sink. J. Intell. Mater. Syst. Struct. 28, 307–322 (2016)
Izadgoshasb, I., Lim, Y.Y., Lake, N., Tang, L.H., Padilla, R.V., Kashiwao, T.: Optimizing orientation of piezoelectric cantilever beam for harvesting energy from human walking. Energy Convers. Manag. 161, 66–73 (2019)
Wang, H.Y., Tang, L.H.: Modeling and experiment of bistable two-degree-of-freedom energy harvester with magnetic coupling. Mech. Syst. Signal Process. 86, 29–39 (2017)
Gendelman, O.V., Sapsis, T., Vakakis, A.F., Bergman, L.A.: Enhanced passive targeted energy transfer in strongly nonlinear mechanical oscillators. J. Sound Vib. 330, 1–8 (2011)
AL-Shudeifat, M.A.: Highly efficient nonlinear energy sink. Nonlinear Dyn. 76, 1905 (2014)
Wei, Y.M., Peng, Z.K., Dong, X.J., Zhang, W.M., Meng, G.G.: Mechanism of optimal targeted energy transfer. ASME J. Appl. Mech. 84(1), 011007-1–011007-9 (2016)
Fang, Z.W., Zhang, Y.W., Li, X., Ding, H., Chen, L.Q.: Integration of a nonlinear energy sink and a giant magnetostrictive energy harvester. J. Sound Vib. 391, 35–49 (2017)
Li, X., Zhang, Y.W., Ding, H., Chen, L.Q.: Integration of a nonlinear energy sink and a piezoelectric energy harvester. Appl. Math. Mech. 38, 1019–1030 (2017)
Fang, Z.W., Zhang, Y.W., Li, X., Ding, H., Chen, L.Q.: Complexification-averaging analysis on a giant magnetostrictive harvester integrated with a nonlinear energy sink. ASME J. Vib. Acoust. 140, 021009 (2018)
Wheeler, H.: Simple inductance formulas for radio coils. Proc. IRE 16, 1398–1400 (1928)
Remick, K., Dane, Quinn D., Michael, McFarland D., Bergman, L., Vakakis, A.: High-frequency vibration energy harvesting from impulsive excitation utilizing intentional dynamic instability caused by strong nonlinearity. J. Sound Vib. 370, 259–279 (2016)
This work is supported by the National Natural Science Foundation of China (No. 12072221, 11672187) and Scientific Research Project of Tianjin Education Commission (No. 2019KJ121).
Conflict of interest
The authors declare that they have no conflict of interest.
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
About this article
Cite this article
Jin, Y., Hou, S. & Yang, T. Cascaded essential nonlinearities for enhanced vibration suppression and energy harvesting. Nonlinear Dyn 103, 1427–1438 (2021). https://doi.org/10.1007/s11071-020-06165-6
- Nonlinear energy sink
- Energy harvesting
- Vibration suppression