Bursting vibration-based energy harvesting
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ORIGINAL PAPER
Bursting vibration-based energy harvesting Wen-An Jiang . Xiu-Jing Han . Li-Qun Chen . Qin-Sheng Bi
Received: 17 September 2019 / Accepted: 18 May 2020 Ó Springer Nature B.V. 2020
Abstract The main purpose of this article is to demonstrate that bursting oscillations can be exploited to enhance the harvested electrical power. A vibrationbased bistable Duffing energy harvester, a tristable energy harvester and an asymmetric bistable energy harvester are examined, and bursting oscillations are observed in the energy-harvesting systems with periodic excitation when an order gap exists between the exciting frequency and the natural frequency. The bifurcation mechanism of the bursting oscillations is presented via the bifurcation diagram and the transformed phase portrait of fast subsystem, which reveals that fold bifurcations occur at the transition between the quiescent states and the repetitive spiking states. Then, we investigate the influence of resistive load on the output power, and the optimal resistance is employed to determine the maximum of the power. Furthermore, compared with the method of traditional
W.-A. Jiang X.-J. Han Q.-S. Bi (&) Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China e-mail: [email protected] L.-Q. Chen School of Science, Harbin Institute of Technology, Shenzhen 518055, China L.-Q. Chen Department of Mechanics, Shanghai University, Shanghai 200072, China
resonance energy harvesting, results clearly illustrate an improved output power. Keywords Bursting oscillation Energy harvesting Fast–slow analysis Multiple timescales
1 Introduction Bursting oscillation is a complex dynamical behavior and is ubiquitous in physics, chemistry, mechanics and engineering [1–3]. Amplitude-modulated bursting can lead to interesting bursting phenomena when the variables alternate between QSs and SPs in turn. Therefore, bursting oscillations have been extensively investigated in different time phases. The best method to explain the generation mechanism of bursting phenomena can be dated back to Rinzel [4]. There are many researchers who have investigated the bursting oscillations of dynamical systems. Rulkov [5] proposed a simple model that replicated the dynamics of the spiking and spiking-bursting activity of real biological neurons. Perc and Marhl [6] presented different types of bursting calcium oscillations in nonexcitable cells. Lu et al. [7] reported different types of bursting phenomena in the deterministic and stochastic Chay and ML neuronal systems. Han et al. [8] considered speed escape of attractors in a Rayleigh equation with multiple-
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frequency excitations via the fast–slow dynamical analysis method. Bi and Zhang [9] analyzed the bursting phenomena as well as the bifurcation mechanism in controlled Lorenz system with two timescales. Song and Xu [10] employed bursting oscillations in the delayed neural system and obtained complex bursting phenomena for different
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