Tunable stochastic resonance based on the optimization of centrifugal distance for rotation-induced energy harvesting

Yunshun Zhang*, Xiangshuai Zhao, Xin Wang, Wanshu Wang, Yu Jia, Rengchen Zheng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Energy harvesting from rotating systems has been developed into an important topic as a promising solution for realizing the powering applications of tire monitoring systems. Because of relatively narrow bandwidth of the efficiently operating response, this paper proposes a principle for optimizing the centrifugal distance for tuning frequency matching between stochastic resonance and the external rotation environments. It can minimize the negative effect of a low energy orbit owing to the optimally stabilized stochastic resonance, particularly over the low frequency range before high energy orbit oscillation. The centrifugal force caused by the behavior of rotation acting on the tip mass of the cantilever changes the equivalent stiffness of the cantilever and thus can tune the variation in the Kramers escape rate. Through the match-able relationship of a non-linear bitable system between the Kramers rate and the external rotation frequency, the expression of the optimally centrifugal distance can be solved by theoretical derivation and numerical analysis. The results of simulations and laboratory experiments simultaneously demonstrate that the centrifugal distance is tuned to be the optimal 6.45 cm as theoretically analyzed, and the effective bandwidth of energy harvesting can be stabilized from 30 rad s−1 to 50 rad s−1. While its maximum root mean square voltage can reach the value of 1.23 V corresponding to a harvesting average power of 45.55 μW, owing to the high matching relationship between stochastic resonance and external rotation frequencies. Thus, by the theoretical optimization of centrifugal distance, the frequency of stochastic resonance can be tuned for matching the externally rotating environments, and further improving the operating performance of rotating-induced energy harvesting.

Original languageEnglish
Article number124004
Number of pages14
JournalSmart Materials and Structures
Issue number12
Early online date10 Nov 2022
Publication statusE-pub ahead of print - 10 Nov 2022

Bibliographical note

© 2022 IOP Publishing Ltd. This is the Accepted Manuscript version of an article accepted for publication in Smart Materials and Structures. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it.  The Version of Record is available online at 10.1088/1361-665X/ac9dd2.

Funding Information:
The authors acknowledge funding support from the Post-doctoral Research Foundation of China (Grant No. 2020M681497), the Youth Talent Cultivation Program of Jiangsu University, and the project funded by the National Natural Science Foundation of China (Grant No. 12172153).


  • rotation
  • tunable stochastic resonance
  • optimized centrifugal distance
  • energy harvesting


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