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Controlling Bifurcation and Dynamic Behavior in Vibro-Impact System

[+] Author Affiliations
Chi-Wei Kuo, C. Steve Suh

Texas A&M University, College Station, TX

Paper No. IMECE2014-38281, pp. V04BT04A042; 8 pages
doi:10.1115/IMECE2014-38281
From:
  • ASME 2014 International Mechanical Engineering Congress and Exposition
  • Volume 4B: Dynamics, Vibration, and Control
  • Montreal, Quebec, Canada, November 14–20, 2014
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4648-3
  • Copyright © 2014 by ASME

abstract

Impact oscillators are found in many applications. Some of the applications inadvertently experience the undesirable effect of vibro-impact called grazing bifurcation. For example, fitting joints are commonly considered in mechanical design. However, the grazing behavior of a loose fitting joint in response to the thermal variation of the working environment may cause unpredictable damage. In this paper, the Newtonian model of a vibro-impact system is investigated. The model system exhibits complex grazing dynamics that is highly nonlinear. The generation of grazing phenomena along with the corresponding periodic solution of the particular type of bifurcation is elaborated. The system is characterized using phase portraits. Since grazing and route-to-chaos are difficult to control, a novel concept capable of simultaneous control of vibration amplitude in the time-domain and spectral response in the frequency-domain is applied to develop a viable control scheme. The concept has been demonstrated working well for the control of dynamic instability including bifurcation and chaos in many engineering systems. The developed controller explores wavelet adaptive filters and filtered-x least mean square algorithm to the successful mitigation of the various states of dynamic instability of the vibro-impact system including grazing bifurcation and chaotic response. In addition, detail description is also given as to the setting of the control parameters such as control time step, sampling rate, wavelet filter vector, and desired targets.

Copyright © 2014 by ASME
Topics: Bifurcation

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