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Equilibria and vibration of a buckled beam with attached masses or spring–mass systems

Publication ,  Journal Article
Plaut, RH; Virgin, LN
Published in: Journal of Sound and Vibration
September 29, 2016

A buckled beam with immovable pinned ends is considered. Attached to the beam are either one concentrated mass, two concentrated masses, a spring–mass system (that could model a human, robot, or passive vibration absorber), or a horizontal rigid bar with two vertical end springs (a “bounce–pitch” system that could model an animal or a vehicle). In the theoretical analysis, the beam is modeled as an inextensible elastica. Equilibrium configurations are determined first. Then small free vibrations about equilibrium are examined, and the lowest frequencies and corresponding modes are computed. The effects of various parameters are investigated, such as the ratio of the span to the total arc length of the beam, the locations and weights of the attached masses and systems, and the stiffnesses of the springs. For the case of a single attached mass, experiments are conducted and the results are compared to the theoretical ones.

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Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

September 29, 2016

Volume

379

Start / End Page

166 / 176

Related Subject Headings

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

Citation

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Plaut, R. H., & Virgin, L. N. (2016). Equilibria and vibration of a buckled beam with attached masses or spring–mass systems. Journal of Sound and Vibration, 379, 166–176. https://doi.org/10.1016/j.jsv.2016.05.043
Plaut, R. H., and L. N. Virgin. “Equilibria and vibration of a buckled beam with attached masses or spring–mass systems.” Journal of Sound and Vibration 379 (September 29, 2016): 166–76. https://doi.org/10.1016/j.jsv.2016.05.043.
Plaut RH, Virgin LN. Equilibria and vibration of a buckled beam with attached masses or spring–mass systems. Journal of Sound and Vibration. 2016 Sep 29;379:166–76.
Plaut, R. H., and L. N. Virgin. “Equilibria and vibration of a buckled beam with attached masses or spring–mass systems.” Journal of Sound and Vibration, vol. 379, Sept. 2016, pp. 166–76. Scopus, doi:10.1016/j.jsv.2016.05.043.
Plaut RH, Virgin LN. Equilibria and vibration of a buckled beam with attached masses or spring–mass systems. Journal of Sound and Vibration. 2016 Sep 29;379:166–176.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

September 29, 2016

Volume

379

Start / End Page

166 / 176

Related Subject Headings

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