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Internal Resonance and Localization in Micro-Resonator Arrays

[+] Author Affiliations
Andrew J. Dick, Balakumar Balachandran, C. Daniel Mote, Jr.

University of Maryland, College Park, MD

Paper No. DETC2007-35099, pp. 1711-1720; 10 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME


Intrinsic Localized Modes (ILMs) are localization caused by intrinsic nonlinearities within an array of perfectly periodic oscillators. This localization phenomenon is studied in the context of arrays of coupled micro-scale cantilevers and of coupled piezoelectric micro-scale resonators. Recent studies have identified the individual devices to be capable of producing nonlinear behavior and efforts are currently underway to develop resonator arrays to improve performance capabilities. It is important to determine whether an ILM would limit the performance of such an array and/or if one could take advantage of this type of localization in filter design. Previous studies have shown that it is possible to realize ILMs as forced nonlinear vibration modes. The effects of internal resonance conditions on the behavior of these localization events are explored here using analytical and numerical methods.

Copyright © 2007 by ASME



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