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Mechanism of Re-Scaling Frequency Stochastic Resonance Based on Kramers Rate and its Application

[+] Author Affiliations
Yong-gang Leng, Yan Guo

Tianjin University, Tianjin, China

Paper No. IMECE2010-40283, pp. 343-349; 7 pages
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 8: Dynamic Systems and Control, Parts A and B
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4445-8
  • Copyright © 2010 by ASME


We develop and further explore the mechanism of re-scaling frequency stochastic resonance (RFSR) based on the Kramers rate. We find that when the input signal frequency for stochastic resonance (SR) exceeds the half the Kramers rate limit, a frequency-scale ratio of RFSR should be selected to re-scale the larger signal frequency to a small SR frequency. Within the SR frequency range, we compare the performance of two approaches of realizing SR, the method of adjusting system parameters and the method of frequency-scale ratio. We showed that the former makes the half the Kramers rate approaching the signal frequency, while the latter makes the signal frequency approaching the half the Kramers rate. An engineering example demonstrates excellent performance of the re-scaling frequency for SR in fault diagnosis.

Copyright © 2010 by ASME
Topics: Resonance , Mechanisms



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