| Nonlinear Interaction, Bifurcation, and Energy Harvesting in a Coupled Two-Degree-of-Freedom Mechanical System with a Piezoelectric RC-Circuit |
| Paper ID : 1039-ICEEM2023 (R3) |
| Authors: |
|
Mohamed Nagah Zaki *1, Wedad A. Elganini2, Nasser A. Saeed2 1Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menouf 32952, Menoufia University, Egypt. 2Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering |
| Abstract: |
| This work examines the dynamics of a master-slave system coupled with a piezoelectric energy harvester. The mathematical model of the entire system is derived as a two-degree-of-freedom system, linked to a first-order differential equation governing the extraction of electrical voltage during harvesting. Through the application of the perturbation method, the equations governing the modulation of oscillation amplitudes, known as slow flow modulating equations, are derived. Subsequently, the impact of various system parameters on both vibration amplitudes and harvesting voltage is investigated by analyzing different response curves. The results demonstrate that the system under consideration can exhibit periodic or quasi-periodic motion depending on the chosen system parameters. Based on these analytical investigations, optimal system parameters for energy harvesting and vibration control purposes are determined. Furthermore, numerical simulations are performed to validate the analytical findings. The simulations employ time response, phase plane, Poincaré map, and bifurcation diagram analyses, which confirm the excellent agreement between the numerical and analytical results obtained |
| Keywords: |
| Energy harvesting, stability, static bifurcation, periodic and quasi-periodic oscillations; Basin of attraction, Poincaré-map. |
| Status : Paper Accepted |
