Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (8): 1295-1314.doi: https://doi.org/10.1007/s10483-024-3133-8
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Jiamei WANG1, Siukai LAI1,2,*(
), Chen WANG3, Yiting ZHANG1, Zhaolin CHEN1,4
Email Alert
RSSReceived:2024-03-12
Online:2024-08-03
Published:2024-07-31
Contact:
Siukai LAI
E-mail:sk.lai@polyu.edu.hk
Supported by:2010 MSC Number:
Jiamei WANG, Siukai LAI, Chen WANG, Yiting ZHANG, Zhaolin CHEN. On the role of sliding friction effect in nonlinear tri-hybrid vibration-based energy harvesting. Applied Mathematics and Mechanics (English Edition), 2024, 45(8): 1295-1314.
Fig. 1
(a) Schematic of the tri-hybrid energy harvesting model; (b) schematic of the preset positions of Magnets A, B, and C (color online)"
Table 1
Material parameters of the tri-hybrid energy harvesting model"
 |
Fig. 2
(a) Experimental setup; (b) magnetic force measurement; (c) three equilibrium points (color online)"
Fig. 3
(a) Calculation and measurement results of the magnetic force for d=12.5 mm and d=14.5 mm; (b) the restoring force of Magnet A for d=12.5 mm and d=14.5 mm; (c) the total potential energy of Magnet A and elastic beam (color online)"
Fig. 4
Time-domain analysis of tip magnet vibration amplitudes and phase portraits at an excitation acceleration of 1g: (a) μ=0.2, yinitial=4 mm; (b) μ=0.2, yinitial=20 mm; (c) μ=0.3, yinitial=4 mm; (d) μ=0.3, yinitial=20 mm; (e) μ=0.4, yinitial=4 mm; (f) μ=0.4, yinitial=20 mm; (g) μ=0.5, yinitial=4 mm; (h) μ=0.5, yinitial=20 mm, where blue lines represent up-conversion frequency sweeping results, while red lines represent down-conversion frequency sweeping results (color online)"
Fig. 5
Phase diagrams for the dynamic motion of Magnet A: (a) yinitial=4 mm and (b) yinitial=20 mm without and with friction at an excitation acceleration of 1g and a frequency of 2 Hz, where blue lines represent the results without friction, while green lines represent the results with friction (μ=0.3) (color online)"
Fig. 6
Phase diagrams for the dynamic motion of Magnet A: (a) yinitial=4 mm and (b) yinitial=20 mm without and with friction at an excitation acceleration of 1g and a frequency of 5 Hz, where blue lines denote the results without friction, while green lines denote the results with friction (μ=0.3) (color online)"
Fig. 7
Phase diagrams for the dynamic motion of Magnet A: (a) yinitial=4 mm and (b) yinitial=20 mm without and with friction at an excitation acceleration of 1.5g and a frequency of 5 Hz, where blue lines represent the results without friction, while green lines represent the results with friction (μ=0.3) (color online)"
Fig. 8
Open-circuit voltage outputs of PEG and EMG at 0.5g, 1g, and 1.5g: (a) PEG1 and PEG2 outputs; (b) EMG1 and EMG2 outputs (color online)"
Fig. 9
Open-circuit outputs of different units at excitation accelerations of 1g and 1.5g: (a) PEG2 output (with and without friction effect); (b) TENG output; (c) EMG2 output (with and without friction effect); (d) EMG1 output (with and without friction effect) (color online)"
Fig. 10
Percentages of friction effects for PEG2, EMG1, and EMG2 units at 1g and 1.5g (with and without friction effects): (a) 1g; (b) 1.5g, where , Uvol denotes the voltage output without friction, and Uvol, friction denotes the voltage output with friction (color online)"
Fig. 11
Performance comparison: (a) EMG unit; (b) TENG unit; (c) PEG unit; (d) EMG, PEG, and total units' output differences, where all results are measured at 1g and 5 Hz (color online)"
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