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Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers

Publication ,  Journal Article
Virgin, LN; Holland, DB
Published in: Mechanical Systems and Signal Processing
February 1, 2022

It is well established that axial loads tend to influence lateral stiffness and hence natural frequencies of slender structural components. For very slender structures, the axial loading can be caused by self-weight (in a gravitational field), and these effects influence equilibrium configurations and dynamic behavior. In some applications, for example solar sails, attached cables provide an additional complication. This paper will focus attention on a specific form of double cantilever beam system, i.e., two cantilevers sharing a common hub. Two specific cases are considered, in which the two ends of the cantilevers are connected by a cable under a given tensile load. The key observation is the effect that orientation (with respect to gravity) has on breaking the inherent symmetry in the vibration modes shapes of the systems studied. Although theoretical results are available for both a single cantilever pulled by a cable attached to its tip, together with results on the effect of gravity, the focus of the current paper is on the natural frequencies and mode shapes of two-beam systems from an experimental modal analysis perspective.

Duke Scholars

Published In

Mechanical Systems and Signal Processing

DOI

EISSN

1096-1216

ISSN

0888-3270

Publication Date

February 1, 2022

Volume

164

Related Subject Headings

  • Acoustics
  • 4017 Mechanical engineering
  • 4006 Communications engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
 

Citation

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ICMJE
MLA
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Virgin, L. N., & Holland, D. B. (2022). Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers. Mechanical Systems and Signal Processing, 164. https://doi.org/10.1016/j.ymssp.2021.108236
Virgin, L. N., and D. B. Holland. “Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers.” Mechanical Systems and Signal Processing 164 (February 1, 2022). https://doi.org/10.1016/j.ymssp.2021.108236.
Virgin LN, Holland DB. Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers. Mechanical Systems and Signal Processing. 2022 Feb 1;164.
Virgin, L. N., and D. B. Holland. “Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers.” Mechanical Systems and Signal Processing, vol. 164, Feb. 2022. Scopus, doi:10.1016/j.ymssp.2021.108236.
Virgin LN, Holland DB. Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers. Mechanical Systems and Signal Processing. 2022 Feb 1;164.
Journal cover image

Published In

Mechanical Systems and Signal Processing

DOI

EISSN

1096-1216

ISSN

0888-3270

Publication Date

February 1, 2022

Volume

164

Related Subject Headings

  • Acoustics
  • 4017 Mechanical engineering
  • 4006 Communications engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering