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Resonant Bands of a Mathieu-Duffing Oscillator With a Twin-Well Potential

[+] Author Affiliations
Albert C. J. Luo

Southern Illinois University at Edwardsville, Edwardsville, IL

Paper No. IMECE2002-32416, pp. 457-463; 7 pages
doi:10.1115/IMECE2002-32416
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Design Engineering
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Design Engineering Division
  • ISBN: 0-7918-3628-2 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

The (M:1)-resonant bands in the left and right potential wells are skew-symmetric, and the (2M:1)-resonant bands of the large orbit motion are symmetric. The analytical conditions for the onset and destruction of a resonant band are developed through the incremental energy approach. The numerical predictions of such the onset and destruction are also completed by the energy increment spectrum method. The sub-resonance interaction occurs for strong excitations, which needs to be further investigated. These results are applicable to the small orbit and large orbit motions of post-buckled structure under a parametric excitation.

Copyright © 2002 by ASME

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