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Deformation and vibration of compressed, nested, elastic rings on rigid base

Publication ,  Journal Article
Virgin, LN; Giliberto, JV; Plaut, RH
Published in: Thin-Walled Structures
November 1, 2018

Vertical circular rings and a system of three nested rings are tested and analyzed. The rings are clamped to a flat rigid base and are loaded vertically at the top by either a concentrated load or a rigid plate. The tests involve rings made by 3D printing. In the analysis, each ring is modeled as an inextensible elastica. For downward quasi-static loading, point contact at the base becomes line contact under sufficiently high loads. Deformations are determined, and small vibrations about equilibrium are examined. Good agreement is found between experiments and theory. The topic is motivated by the application of short nested tubes for energy absorption.

Duke Scholars

Published In

Thin-Walled Structures

DOI

ISSN

0263-8231

Publication Date

November 1, 2018

Volume

132

Start / End Page

167 / 175

Related Subject Headings

  • Civil Engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

Citation

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ICMJE
MLA
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Virgin, L. N., Giliberto, J. V., & Plaut, R. H. (2018). Deformation and vibration of compressed, nested, elastic rings on rigid base. Thin-Walled Structures, 132, 167–175. https://doi.org/10.1016/j.tws.2018.08.015
Virgin, L. N., J. V. Giliberto, and R. H. Plaut. “Deformation and vibration of compressed, nested, elastic rings on rigid base.” Thin-Walled Structures 132 (November 1, 2018): 167–75. https://doi.org/10.1016/j.tws.2018.08.015.
Virgin LN, Giliberto JV, Plaut RH. Deformation and vibration of compressed, nested, elastic rings on rigid base. Thin-Walled Structures. 2018 Nov 1;132:167–75.
Virgin, L. N., et al. “Deformation and vibration of compressed, nested, elastic rings on rigid base.” Thin-Walled Structures, vol. 132, Nov. 2018, pp. 167–75. Scopus, doi:10.1016/j.tws.2018.08.015.
Virgin LN, Giliberto JV, Plaut RH. Deformation and vibration of compressed, nested, elastic rings on rigid base. Thin-Walled Structures. 2018 Nov 1;132:167–175.
Journal cover image

Published In

Thin-Walled Structures

DOI

ISSN

0263-8231

Publication Date

November 1, 2018

Volume

132

Start / End Page

167 / 175

Related Subject Headings

  • Civil Engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering