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Journal of Vibration Engineering and Technologies, 11, 4223–4240p. (2023) DOI:10.1007/s42417-022-00811-6
Purpose: This article demonstrates the possibility of energy harvesting by mistuned pendulums with torsional coupling. Two pendulums of different lengths with coils and magnets at the pivots are used as electromagnetic harvesters. The ambient energy source to the system is considered in the form of harmonic base excitations. Torsional coupling is achieved by connecting the pendulums with a torsional spring. The non-linearity of the underlying dynamics arises due to mechanical coupling and forcing amplitude. Numerical results are presented to analyze the performance of the pendulum energy harvester under different torsional coupling values. Method: The mathematical model of the electro-mechanical system with torsionally coupled pendulums under harmonic excitation is developed. The mistuning is introduced by two pendulums with different lengths l1 and l2. The coupling between them is achieved by a torsional spring of stiffness kc. These pendulums are connected to the shafts of the electromagnetic generators with a magnet attached to the pendulum as a rotor and coil as stator. Current i is generated due to electromagnetic induction whenever pendulum oscillates. The numerical and harmonic balance method analysis were carried out. Runge-Kutta integration was used for numerical analysis. The analysis was carried out to determine the effect of coupling, length and resistive coefficient. The bifurcation diagram and Poincare plots were used for dynamic analysis and cross recurrence plots for analysis of relations between pendulum harvesters. Results: The effect of coupling on harvester performance was carried out, the variation of maximum power and frequency band with coupling can be categorized into 3 zones. The ranges for Zone-I, II and III of maximum power are [0-0.059], [0.06-0.11] and above 0.11 respectively. In Zone-I total power and the total band are dominating over pendulum-1 and pendulum-2. In Zone-II, the performance of pendulum-2 is comparable with the total performance. In contrast, the performance of pendulum-1 is low. Saturation of maximum power and bandwidth can be observed in zone-III. Uncoupled pendulum-1 and 2 exhibits a periodic oscillation. A low amplitude quasi-periodic response of pendulum-1 and high amplitude quasiperiodic response of pendulum-2 can be observed for coupling of β
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© 2024 SOME RIGHTS RESERVED
The content of this web site is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 2.0 Germany License.
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