Skip to main content
Journal cover image

Analysis of buckled and pre-bent fixed-end columns used as vibration isolators

Publication ,  Journal Article
Plaut, RH; Sidbury, JE; Virgin, LN
Published in: Journal of Sound and Vibration
May 20, 2005

The use of a buckled or pre-bent column with fixed ends as a vibration isolator is analyzed. The column is designed to have a high axial stiffness under the weight that it supports, so that the static displacement of the weight is not excessive, and then to have a low stiffness during excitation. The base of the column is assumed to have an axial motion which is simple harmonic or a linear combination of two simple harmonic functions. The column is modeled as an elastica. First the equilibrium shape under the supported weight is determined. Then small steady-state vibrations about the equilibrium configuration are obtained numerically using a shooting method. The inertia of the supported weight and the transverse and axial inertias of the column are included. The axial displacement transmissibility is computed, and the effects of external and internal damping, column stiffness, supported weight, and initial curvature are investigated. For the two-frequency excitation, the effects of the relative amplitudes and frequencies of the excitation components are considered. © 2004 Elsevier Ltd. All rights reserved.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

ISSN

0022-460X

Publication Date

May 20, 2005

Volume

283

Issue

3-5

Start / End Page

1216 / 1228

Related Subject Headings

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

Citation

APA
Chicago
ICMJE
MLA
NLM
Plaut, R. H., Sidbury, J. E., & Virgin, L. N. (2005). Analysis of buckled and pre-bent fixed-end columns used as vibration isolators. Journal of Sound and Vibration, 283(3–5), 1216–1228. https://doi.org/10.1016/j.jsv.2004.07.029
Plaut, R. H., J. E. Sidbury, and L. N. Virgin. “Analysis of buckled and pre-bent fixed-end columns used as vibration isolators.” Journal of Sound and Vibration 283, no. 3–5 (May 20, 2005): 1216–28. https://doi.org/10.1016/j.jsv.2004.07.029.
Plaut RH, Sidbury JE, Virgin LN. Analysis of buckled and pre-bent fixed-end columns used as vibration isolators. Journal of Sound and Vibration. 2005 May 20;283(3–5):1216–28.
Plaut, R. H., et al. “Analysis of buckled and pre-bent fixed-end columns used as vibration isolators.” Journal of Sound and Vibration, vol. 283, no. 3–5, May 2005, pp. 1216–28. Scopus, doi:10.1016/j.jsv.2004.07.029.
Plaut RH, Sidbury JE, Virgin LN. Analysis of buckled and pre-bent fixed-end columns used as vibration isolators. Journal of Sound and Vibration. 2005 May 20;283(3–5):1216–1228.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

ISSN

0022-460X

Publication Date

May 20, 2005

Volume

283

Issue

3-5

Start / End Page

1216 / 1228

Related Subject Headings

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