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Article

Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices

1
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 90-924 Lodz, Poland
2
Institute of Applied Mechanics, Poznan University of Technology, 60-965 Poznan, Poland
3
Mathematics Department, Faculty of Science, Tanta University, Tanta 31527, Egypt
4
Department of Physics and Engineering Mathematics, Faculty of Engineering, Tanta University, Tanta 31734, Egypt
*
Author to whom correspondence should be addressed.
Academic Editor: John D. Clayton
Appl. Sci. 2021, 11(18), 8658; https://doi.org/10.3390/app11188658
Received: 2 September 2021 / Revised: 12 September 2021 / Accepted: 15 September 2021 / Published: 17 September 2021
(This article belongs to the Special Issue Application of Non-linear Dynamics)
Energy harvesting is becoming more and more essential in the mechanical vibration application of many devices. Appropriate devices can convert the vibrations into electrical energy, which can be used as a power supply instead of ordinary ones. This study investigated a dynamical system that correlates with two devices, namely a piezoelectric device and an electromagnetic one, to produce two novel models. These devices are connected to a nonlinear damping spring pendulum with two degrees of freedom. The damping spring pendulum is supported by a point moving in a circular orbit. Lagrange’s equations of the second kind were utilized to obtain the equations of motion. The asymptotic solutions of these equations were acquired up to the third approximation using the approach of multiple scales. The comparison between the approximate and the numerical solutions reveals high consistency between them. The steady-state solutions were investigated, and their stabilities were checked. The influences of excitation amplitudes, damping coefficients, and the different frequencies on energy-harvesting device outputs are examined and discussed. Finally, the nonlinear stability analysis of the modulation equations is discussed through the stability and instability ranges of the frequency response curves. The work is significant due to its real-life applications, such as a power supply of sensors, charging electronic devices, and medical applications. View Full-Text
Keywords: energy harvesting; nonlinear dynamics; perturbation methods; piezoelectric and electromagnetic devices; stability energy harvesting; nonlinear dynamics; perturbation methods; piezoelectric and electromagnetic devices; stability
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MDPI and ACS Style

Abohamer, M.K.; Awrejcewicz, J.; Starosta, R.; Amer, T.S.; Bek, M.A. Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices. Appl. Sci. 2021, 11, 8658. https://doi.org/10.3390/app11188658

AMA Style

Abohamer MK, Awrejcewicz J, Starosta R, Amer TS, Bek MA. Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices. Applied Sciences. 2021; 11(18):8658. https://doi.org/10.3390/app11188658

Chicago/Turabian Style

Abohamer, Mohamed K., Jan Awrejcewicz, Roman Starosta, Tarek S. Amer, and Mohamed A. Bek. 2021. "Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices" Applied Sciences 11, no. 18: 8658. https://doi.org/10.3390/app11188658

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