Improving the Performance of a Post-Buckled Beam Harvester under Combined External and Parametrical Slow Excitations
Abstract
:1. Introduction
2. Basic Model
3. Bursting Mechanism of an Externally and Parametrically Excited Energy Harvester
3.1. Bursting Mechanism of a Single-Frequency Slow Excitation
3.2. Bursting Patterns of Two Slow Commensurate Excitation Frequencies
4. Performance Comparison of the Fundamental and the Multi-Frequency Slow Excitations
4.1. Response of the Fundamental and the Multi-Frequency External Excitations
4.2. Response of the Single and the Multi-Frequency Parametric Excitations
4.3. Response of the Fundamental and the Multi-Frequency External and Parametric Excitations
5. Verification of the Proposed Results
6. Conclusions
- (1)
- The static equilibrium curve had three solutions when lay between two-fold bifurcations, and two jump phenomenons and hysteresis behavior were observed. In addition, for the system with two slow commensurate excitation frequencies, the number of unstable solution intervals on the one-parameter bifurcation curve was equal to the frequency ratio to , and the number of folded bifurcation points was twice the frequency ratio.
- (2)
- The qualitative bursting behaviors of the system were detected by using the voltage waveform, and the bifurcation of the equilibrium curves was verified via the transformed phase trajectory. In addition, the proposed bursting results were also checked by employing the Simulink.
- (3)
- As the double frequencies grew, the fast-paced voltage responses in a period increased, which caused an increase in the average voltage and power, and fast-paced vibration was desired by the energy-harvesting technology.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Zhou, Y.; Cui, J.; Jiang, W. Improving the Performance of a Post-Buckled Beam Harvester under Combined External and Parametrical Slow Excitations. Micromachines 2023, 14, 1238. https://doi.org/10.3390/mi14061238
Zhou Y, Cui J, Jiang W. Improving the Performance of a Post-Buckled Beam Harvester under Combined External and Parametrical Slow Excitations. Micromachines. 2023; 14(6):1238. https://doi.org/10.3390/mi14061238
Chicago/Turabian StyleZhou, Yue, Jinchao Cui, and Wenan Jiang. 2023. "Improving the Performance of a Post-Buckled Beam Harvester under Combined External and Parametrical Slow Excitations" Micromachines 14, no. 6: 1238. https://doi.org/10.3390/mi14061238
APA StyleZhou, Y., Cui, J., & Jiang, W. (2023). Improving the Performance of a Post-Buckled Beam Harvester under Combined External and Parametrical Slow Excitations. Micromachines, 14(6), 1238. https://doi.org/10.3390/mi14061238