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Passive subharmonic elimination

Publication ,  Journal Article
Culver, D; Mann, BP; Stanton, SC
Published in: Applied Physics Letters
October 1, 2018

This paper investigates an approach to passively eliminate subharmonic responses in nonlinear oscillators forced at resonance. A general framework is developed for identifying asymptotic levels where parameter values can be passively tuned to achieve dynamic cancellation of subharmonics. The results apply to oscillators with an arbitrary nonlinear structure. Due to its breadth of application from atomic force microscopy to aeromechanics, the methodology is demonstrated using a reduced-order model for an inextensible cantilevered beam carrying a concentrated mass. The concentrated mass provides a simple opportunity to vary parameters to achieve subharmonic elimination characteristics. Nonlinear simulation results indicate that parameter choices derived from the perturbation scheme are robust for a significant range of forcing amplitudes. Limits of the harmonic elimination and the sensitivity of the result to control parameters are discussed as well.

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Published In

Applied Physics Letters

DOI

ISSN

0003-6951

Publication Date

October 1, 2018

Volume

113

Issue

14

Related Subject Headings

  • Applied Physics
  • 51 Physical sciences
  • 40 Engineering
  • 10 Technology
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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Culver, D., Mann, B. P., & Stanton, S. C. (2018). Passive subharmonic elimination. Applied Physics Letters, 113(14). https://doi.org/10.1063/1.5046858
Culver, D., B. P. Mann, and S. C. Stanton. “Passive subharmonic elimination.” Applied Physics Letters 113, no. 14 (October 1, 2018). https://doi.org/10.1063/1.5046858.
Culver D, Mann BP, Stanton SC. Passive subharmonic elimination. Applied Physics Letters. 2018 Oct 1;113(14).
Culver, D., et al. “Passive subharmonic elimination.” Applied Physics Letters, vol. 113, no. 14, Oct. 2018. Scopus, doi:10.1063/1.5046858.
Culver D, Mann BP, Stanton SC. Passive subharmonic elimination. Applied Physics Letters. 2018 Oct 1;113(14).

Published In

Applied Physics Letters

DOI

ISSN

0003-6951

Publication Date

October 1, 2018

Volume

113

Issue

14

Related Subject Headings

  • Applied Physics
  • 51 Physical sciences
  • 40 Engineering
  • 10 Technology
  • 09 Engineering
  • 02 Physical Sciences