This paper explores the application of tri-stable energy harvesting technology in tire rotation and proposes an innovative approach of optimizing the output of energy harvester by adjusting the centrifugal distance of the magnet at the free end of a cantilever beam. By leveraging the tunable linear stiffness in the electromechanical coupling equations of the rotating tri-stable state, this study derives an expression for the tunable stochastic resonance of the tri-stable system using Kramers escape rate. Further analysis of the frequency matching between the tunable stochastic resonance and the external rotational environment yields a formula for the optimal centrifugal distance. Both numerical and experimental results validate this theoretical analysis, demonstrating that at an optimal centrifugal distance of 7 cm, the effective bandwidth of the rotating tri-stable energy harvester remains stable between 30 and 60 rad/s. Due to precise matching between the stochastic resonance and the external rotation frequency, the RMS voltage can reach up to 2.24 V, with an average harvested power of 151.4 μW. This research significantly enhances the performance of the rotating tri-stable energy harvesting device, offering new insights for the application and development of energy harvesting technologies in smart vehicles.

中文翻译：

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基于优化离心距离的三稳态随机共振，用于旋转诱导能量收集


本文探讨了三稳态能量收集技术在轮胎旋转中的应用，并提出了一种通过调整悬臂梁自由端磁体的离心距离来优化能量收集器输出的创新方法。通过利用旋转三稳态的机电耦合方程中的可调线性刚度，本研究使用 Kramers 逃逸率推导出了三稳态系统的可调随机共振的表达式。进一步分析可调谐随机共振与外部旋转环境之间的频率匹配，得出最佳离心距离的公式。数值和实验结果都验证了这一理论分析，表明在 7 cm 的最佳离心距离下，旋转三稳态能量采集器的有效带宽在 30 到 60 rad/s 之间保持稳定。由于随机谐振和外转频率之间的精确匹配，RMS 电压可以达到 2.24 V，平均收获功率为 151.4 μW。这项研究显著提高了旋转三稳态能量收集装置的性能，为能量收集技术在智能汽车中的应用和发展提供了新的见解。