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Vibration isolation using extreme geometric nonlinearity

Publication ,  Journal Article
Virgin, LN; Santillan, ST; Plaut, RH
Published in: Journal of Sound and Vibration
August 19, 2008

A highly deformed, slender beam (or strip), attached to a vertically oscillating base, is used in a vibration isolation application to reduce the motion of a supported mass. The isolator is a thin strip that is bent so that the two ends are clamped together, forming a loop. The clamped ends are attached to an excitation source and the supported system is attached at the loop midpoint directly above the base. The strip is modeled as an elastica, and the resulting nonlinear boundary value problem is solved numerically using a shooting method. First the equilibrium shapes of the loop with varying static loads and lengths are studied. The analysis reveals a large degree of stiffness tunability; the stiffness is dependent on the geometric configuration, which itself is determined by the supported mass, loop length, and loop self-weight. Free vibration frequencies and mode shapes are also found. Finally, the case of forced vibration is studied, and the displacement transmissibility over a large range of forcing frequencies is determined for varying parameter values. Experiments using polycarbonate strips are conducted to verify equilibrium and dynamic behavior. © 2008 Elsevier Ltd. All rights reserved.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

August 19, 2008

Volume

315

Issue

3

Start / End Page

721 / 731

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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Virgin, L. N., Santillan, S. T., & Plaut, R. H. (2008). Vibration isolation using extreme geometric nonlinearity. Journal of Sound and Vibration, 315(3), 721–731. https://doi.org/10.1016/j.jsv.2007.12.025
Virgin, L. N., S. T. Santillan, and R. H. Plaut. “Vibration isolation using extreme geometric nonlinearity.” Journal of Sound and Vibration 315, no. 3 (August 19, 2008): 721–31. https://doi.org/10.1016/j.jsv.2007.12.025.
Virgin LN, Santillan ST, Plaut RH. Vibration isolation using extreme geometric nonlinearity. Journal of Sound and Vibration. 2008 Aug 19;315(3):721–31.
Virgin, L. N., et al. “Vibration isolation using extreme geometric nonlinearity.” Journal of Sound and Vibration, vol. 315, no. 3, Aug. 2008, pp. 721–31. Scopus, doi:10.1016/j.jsv.2007.12.025.
Virgin LN, Santillan ST, Plaut RH. Vibration isolation using extreme geometric nonlinearity. Journal of Sound and Vibration. 2008 Aug 19;315(3):721–731.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

August 19, 2008

Volume

315

Issue

3

Start / End Page

721 / 731

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences