Characterization of a strongly nonlinear vibration absorber for aerospace applications

Sean A. Hubbard, Timothy J. Copeland, D. Michael McFarland, Lawrence Bergman, Alexander F Vakakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider the identification of a nonlinear energy sink (NES) designed to limit the vibration of an aircraft wing by attracting and dissipating energy before a transient response can build into a limit-cycle oscillation (LCO). The device studied herein is the prototype of an NES intended to be mounted at the tip of a scale-model wing, housed in a winglet, and capable of interacting dynamically with the wing over a broad frequency range. Because the stiffness of the NES is essentially nonlinear (i.e., its force-displacement relation is nonlinearizable), it cannot be regarded as a perturbation of a linear system. Furthermore, the action of the NES requires the presence of some amount of damping, here assumed to be viscous. Both the nonlinear stiffness and the linear viscous damping have been evaluated using the restoring force surface method (RSFM), and found to be repeatable across trials and across builds of the system. These findings are summarized and used in simulations of the NES attached to the wing. The simulations are then compared to experiments (ground vibration tests), revealing good agreement of transient responses and of frequency-energy dependence, the latter revealed by wavelet transforms of the computed and measured time series.

Original languageEnglish (US)
Title of host publicationTopics in Nonlinear Dynamics - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012
Pages199-207
Number of pages9
DOIs
StatePublished - Jun 6 2012
Event30th IMAC, A Conference on Structural Dynamics, 2012 - Jacksonville, FL, United States
Duration: Jan 30 2012Feb 2 2012

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
Volume3
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

Other

Other30th IMAC, A Conference on Structural Dynamics, 2012
CountryUnited States
CityJacksonville, FL
Period1/30/122/2/12

Keywords

  • Aircraft structures
  • LCO
  • Limit-cycle oscillations
  • NES
  • Nonlinear energy sink

ASJC Scopus subject areas

  • Engineering(all)
  • Computational Mechanics
  • Mechanical Engineering

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  • Cite this

    Hubbard, S. A., Copeland, T. J., McFarland, D. M., Bergman, L., & Vakakis, A. F. (2012). Characterization of a strongly nonlinear vibration absorber for aerospace applications. In Topics in Nonlinear Dynamics - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012 (pp. 199-207). (Conference Proceedings of the Society for Experimental Mechanics Series; Vol. 3). https://doi.org/10.1007/978-1-4614-2416-1_15