Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices
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 correlat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/18/8658 |
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| author | Mohamed K. Abohamer Jan Awrejcewicz Roman Starosta Tarek S. Amer Mohamed A. Bek |
| author_facet | Mohamed K. Abohamer Jan Awrejcewicz Roman Starosta Tarek S. Amer Mohamed A. Bek |
| author_sort | Mohamed K. Abohamer |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T07:54:53Z |
| format | Article |
| id | doaj.art-28a9d3feb8df468098e7929d30dc69c4 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T07:54:53Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-28a9d3feb8df468098e7929d30dc69c42023-11-22T11:56:15ZengMDPI AGApplied Sciences2076-34172021-09-011118865810.3390/app11188658Influence of the Motion of a Spring Pendulum on Energy-Harvesting DevicesMohamed K. Abohamer0Jan Awrejcewicz1Roman Starosta2Tarek S. Amer3Mohamed A. Bek4Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 90-924 Lodz, PolandDepartment of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 90-924 Lodz, PolandInstitute of Applied Mechanics, Poznan University of Technology, 60-965 Poznan, PolandMathematics Department, Faculty of Science, Tanta University, Tanta 31527, EgyptDepartment of Physics and Engineering Mathematics, Faculty of Engineering, Tanta University, Tanta 31734, EgyptEnergy 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.https://www.mdpi.com/2076-3417/11/18/8658energy harvestingnonlinear dynamicsperturbation methodspiezoelectric and electromagnetic devicesstability |
| spellingShingle | Mohamed K. Abohamer Jan Awrejcewicz Roman Starosta Tarek S. Amer Mohamed A. Bek Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices Applied Sciences energy harvesting nonlinear dynamics perturbation methods piezoelectric and electromagnetic devices stability |
| title | Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices |
| title_full | Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices |
| title_fullStr | Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices |
| title_full_unstemmed | Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices |
| title_short | Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices |
| title_sort | influence of the motion of a spring pendulum on energy harvesting devices |
| topic | energy harvesting nonlinear dynamics perturbation methods piezoelectric and electromagnetic devices stability |
| url | https://www.mdpi.com/2076-3417/11/18/8658 |
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