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Harmonic Balance for Large-Amplitude Vibrations in Snap-Through Structures

[+] Author Affiliations
Smruti R. Panigrahi, Brian F. Feeny, Alejandro R. Diaz

Michigan State University, East Lansing, MI

Paper No. DETC2014-34264, pp. V008T11A042; 7 pages
  • ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 8: 26th Conference on Mechanical Vibration and Noise
  • Buffalo, New York, USA, August 17–20, 2014
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4641-4
  • Copyright © 2014 by ASME


A simple nonlinear Duffing oscillator has been studied for its snap-through behavior at large-amplitude vibrations. Using the harmonic balance method we have developed an algorithm to find particular amplitude and frequency relations in two-term and three-term approximations when the solution lies outside of the separatrix on the phase space, i.e. when the oscillator exhibits snap-through behavior.

Copyright © 2014 by ASME
Topics: Vibration



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