The objective of this paper is twofold: first to illustrate that nonlinear modal interactions, namely, a two-to-one internal resonance energy pump, can be exploited to improve the steady-state bandwidth of vibratory energy harvesters; and, second, to investigate the influence of key system’s parameters on the steady-state bandwidth in the presence of the internal resonance. To achieve this objective, an L-shaped piezoelectric cantilevered harvester augmented with frequency tuning magnets is considered. The distance between the magnets is adjusted such that the second modal frequency of the structure is nearly twice its first modal frequency. This facilitates a nonlinear energy exchange between these two commensurate modes resulting in large-amplitude responses over a wider range of frequencies. The harvester is then subjected to a harmonic excitation with a frequency close to the first modal frequency, and the voltage–frequency response curves are generated. Results clearly illustrate an improved bandwidth and output voltage over a case which does not involve an internal resonance. A nonlinear model of the harvester is developed and validated against experimental findings. An approximate analytical solution of the model is obtained using perturbation methods and utilized to draw several conclusions regarding the influence of key design parameters on the harvester’s bandwidth.
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December 2016
Research-Article
A Broadband Internally Resonant Vibratory Energy Harvester
Li-Qun Chen,
Li-Qun Chen
Shanghai Institute of Applied Mathematics and Mechanics;
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China;
Department of Mechanics,
Shanghai University,
Shanghai 200444, China;
Shanghai University,
Shanghai 200444, China;
e-mail: lqchen@staff.shu.edu.cn
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Wen-An Jiang,
Wen-An Jiang
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai University,
Shanghai 200072, China
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Meghashyam Panyam,
Meghashyam Panyam
Nonlinear Vibrations and Energy Harvesting Laboratory,
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
Search for other works by this author on:
Mohammed F. Daqaq
Mohammed F. Daqaq
Nonlinear Vibrations and Energy Harvesting Laboratory,
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
e-mail: mdaqaq@clemson.edu
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
e-mail: mdaqaq@clemson.edu
Search for other works by this author on:
Li-Qun Chen
Shanghai Institute of Applied Mathematics and Mechanics;
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China;
Department of Mechanics,
Shanghai University,
Shanghai 200444, China;
Shanghai University,
Shanghai 200444, China;
e-mail: lqchen@staff.shu.edu.cn
Wen-An Jiang
Shanghai Institute of Applied Mathematics and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai University,
Shanghai 200072, China
Meghashyam Panyam
Nonlinear Vibrations and Energy Harvesting Laboratory,
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
Mohammed F. Daqaq
Nonlinear Vibrations and Energy Harvesting Laboratory,
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
e-mail: mdaqaq@clemson.edu
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
e-mail: mdaqaq@clemson.edu
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 30, 2015; final manuscript received July 13, 2016; published online August 16, 2016. Assoc. Editor: Lei Zuo.
J. Vib. Acoust. Dec 2016, 138(6): 061007 (10 pages)
Published Online: August 16, 2016
Article history
Received:
September 30, 2015
Revised:
July 13, 2016
Citation
Chen, L., Jiang, W., Panyam, M., and Daqaq, M. F. (August 16, 2016). "A Broadband Internally Resonant Vibratory Energy Harvester." ASME. J. Vib. Acoust. December 2016; 138(6): 061007. https://doi.org/10.1115/1.4034253
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