Chaos in the fractionally damped broadband piezoelectric energy generator
作者： Junyi Cao , Shengxi Zhou , Daniel J. Inman , Yangquan Chen
DOI: 10.1007/S11071-014-1320-6
关键词:
摘要: Piezoelectric materials play a significant role in harvesting ambient vibration energy. Due to their inherent characteristics and electromechanical interaction, the system damping for piezoelectric energy can be adequately characterized by fractional calculus. This paper introduces model magnetically coupling broadband harvesters under low-frequency excitation investigates nonlinear dynamic characteristics. The effects of fractional-order damping, amplitude, frequency on behaviors are proposed using phase trajectory, power spectrum, Poincare map, bifurcation diagram. numerical analysis shows that fractionally damped exhibits chaos, periodic motion, chaos motion turn when order changes from 0.2 1.5. period doubling route inverse clearly observed. It is also demonstrated numerically experimentally harvester possesses usable bandwidth over wide range excitation. Both high-energy chaotic attractors large-amplitude response with inter-well oscillators dominate these harvesting.
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