泊松白噪声激励下双稳态能量采集系统的动力学复杂性研究

Abstract
Figure/Table
References (28)
Related Citation (1)

Download: PDF (3349 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract The dynamic complexity of a bistable energy harvesting system under the combined effect of Poisson white noise and periodic signals is depicted by statistical complexity. Considering the complex statistical properties of Poisson white noise, firstly, the Bandt-Pompt algorithm was used to construct the residence time interval of the response of the bistatic energy harvesting system, based on which the statistical complexity and standard Shannon entropy of the system were obtained; secondly, the mean square voltage and effective output power of the system were calculated by numerical methods; finally, the effects of Poisson white noise, coupling coefficient, damping coefficient and periodic signal on the dynamics complexity and energy harvesting efficiency of the system were analyzed in detail. The results show that the non-monotonic evolution trend of the statistical complexity curve and the standard Shannon entropy curve indicates that the system generates stochastic resonance phenomenon, and the selection of appropriate system parameters can promote the stochastic resonance behavior, when the dynamical complexity of the system is maximized. In addition, the trends of mean square voltage and effective output power with parameters are consistent with the evolutionary behavior of the statistical complexity curves, and the stochastic resonance behavior occurs when the system has the highest energy harvesting efficiency.

Received: 26 July 2023 Published: 28 May 2024

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	XU Shuo1
	HE Meijuan1
	JIA Wantao2

Cite this article:

XU Shuo1,HE Meijuan1,JIA Wantao2. Dynamical complexity of a bistable energy harvesting system under Poisson white noise excitation[J]. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(10): 123-131.

URL:

http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2024/V43/I10/123

[1] Stephen N G. On energy harvesting from ambient vibration[J]. Journal of sound and vibration, 2006, 293(1-2): 409-425. [2] FU H, MEI X, Yurchenko D, et al. Rotational energy harvesting for self-powered sensing[J]. Joule, 2021, 5(5): 1074-1118. [3] FAN F R, TANG W, WANG Z L. Flexible nanogenerators for energy harvesting and self‐powered electronics[J]. Advanced Materials, 2016, 28(22): 4283-4305. [4] Williams C B, Yates R B. Analysis of a micro-electric generator for microsystems[J]. sensors and actuators A: Physical, 1996, 52(1-3): 8-11. [5] De Biagi V, Chiaia B M, Marano G C. Optimal design of cubic nonlinear energy harvester device for random vibrations[J]. Probabilistic Engineering Mechanics, 2023, 71: 103386. [6] Kumar P, Narayanan S, Adhikari S, et al. Fokker–Planck equation analysis of randomly excited nonlinear energy harvester[J]. Journal of Sound and Vibration, 2014, 333(7): 2040-2053. [7] 刘迪,胡美.高斯白噪声下非对称单稳态能量采集系统的随机响应分析[J].山西大学学报(自然科学版),2022,45(04):947-953. LIU Di,HU Mi, Stochastic Response Analysis of Asymmetric Monostable Energy Harvesting System Driven by Gaussian White Noise [J]. Journal of Shanxi University，2022,45(04):947-953. [8] Daqaq M F. Transduction of a bistable inductive generator driven by white and exponentially correlated Gaussian noise[J]. Journal of Sound and Vibration, 2011, 330(11): 2554-2564. [9] Daqaq M F. On intentional introduction of stiffness nonlinearities for energy harvesting under white Gaussian excitations[J]. Nonlinear Dynamics, 2012, 69: 1063-1079. [10] 李海涛,丁虎,陈立群.带有非对称势能阱特性的双稳态能量采集系统混沌动力学分析[J].振动与冲击,2020,39(18):54-59+69. LI Hai-tao,DING Hu,CHEN Li-qun, Chaotic dynamics of a bi-stable energy harvesting system with asymmetric potential well characteristics[J]. Journal of Vibration and Shock, 2020,39(18):54-59+69 [11] 蓝春波,秦卫阳,李海涛.随机激励下双稳态压电俘能系统的相干共振及实验验证[J].物理学报,2015,64(08):76-83. LAN Chun-bo, QIN Wei-yang,LI Hai-tao. Broadband energy harvesting from coherence resonance of a piezoelectric bistable system and its experimental validation[J]. Acta Physica Sinica, 2015,64(08):76-83. [12] Lopes V G, Peterson J V L L, Cunha Jr A. The nonlinear dynamics of a bistable energy harvesting system with colored noise disturbances[J]. arXiv preprint arXiv:2107.14045, 2021. [13] Cao J, Zhou S, Wang W, et al. Influence of potential well depth on nonlinear tristable energy harvesting[J]. Applied Physics Letters, 2015, 106(17). [14] Kumar P, Narayanan S. Probabilistic Response Analysis of Nonlinear Tristable Energy Harvester Under Gaussian Colored Noise[J]. Journal of Vibration Engineering & Technologies, 2023: 1-15. [15] Zheng Y, Wang G, Zhu Q, et al. Bifurcations and nonlinear dynamics of asymmetric tri-stable piezoelectric vibration energy harvesters[J]. Communications in Nonlinear Science and Numerical Simulation, 2023, 119: 107077. [16] Zhang Y, Jin Y, Zhang T. Dynamical analysis of an asymmetric tri-stable hybrid energy harvesting system driven by colored noise[J]. Acta Mechanica, 2023: 1-16. [17] Ali S F, Adhikari S, Friswell M I, et al. The analysis of piezomagnetoelastic energy harvesters under broadband random excitations[J]. Journal of Applied Physics, 2011, 109(7). [18] Benzi R, Sutera A, Vulpiani A. The mechanism of stochastic resonance[J]. Journal of Physics A: mathematical and general, 1981, 14(11): L453. [19] Zheng R, Nakano K, Hu H, et al. An application of stochastic resonance for energy harvesting in a bistable vibrating system[J]. Journal of Sound and Vibration, 2014, 333(12): 2568-2587. [20] McInnes C R, Gorman D G, Cartmell M P. Enhanced vibrational energy harvesting using nonlinear stochastic resonance[J]. Journal of Sound and Vibration, 2008, 318(4-5): 655-662. [21] 陈仲生,杨拥民.悬臂梁压电振子宽带低频振动能量俘获的随机共振机理研究[J].物理学报,2011,60(07):437-443. CHEN Zhong-sheng,YANG Cong-min. Stochastic resonance mechanism for wideband and low frequency vibration energy harvesting based on piezoelectric cantilever beams[J]. Acta Physica Sinica, 2011,60(07):437-443. [22] Cottone F, Basset P, Vocca H, et al. Bistable electromagnetic generator based on buckled beams for vibration energy harvesting[J]. Journal of Intelligent Material Systems and Structures, 2014, 25(12): 1484-1495. [23] Litak G, Friswell M I, Adhikari S. Magnetopiezoelastic energy harvesting driven by random excitations[J]. Applied Physics Letters, 2010, 96(21). [24] Yang G, Xu W, Huang D, et al. Stochastic responses of lightly nonlinear vibroimpact system with inelastic impact subjected to external Poisson white noise excitation[J]. Mathematical Problems in Engineering, 2018, 2018. [25] Li Z, Wang S, Zhou S. Multi-solution phenomena and nonlinear characteristics of tristable galloping energy harvesters with magnetic coupling nonlinearity[J]. Communications in Nonlinear Science and Numerical Simulation, 2023, 119: 107076. [26] 何美娟,徐伟,孙中奎.基于统计复杂度的非对称双稳系统的动力学复杂性研究[J].中国科学:物理学力学天文学,2014,44(09):981-992. HE Mei-juan,XU Wei,SUN Zhong-kui. Dynamical complexity in an asymmetric bistable system via statistical complexity measures[J]. Scientia Sinica(Physica,Mechanica & Astronomica), 2014,44(09):981-992. [27] Honeycutt R L. Stochastic Runge-Kutta algorithms. II. colored noise[J]. Physical Review A, 1992, 45(2): 604. [28] Bandt C, Pompe B. Permutation entropy: a natural complexity measure for time series[J]. Physical review letters, 2002, 88(17): 174102.