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Deformation and vibration of upright loops on a foundation and of hanging loops

Publication ,  Journal Article
Plaut, RH; Virgin, LN
Published in: International Journal of Solids and Structures
January 1, 2014

The deformation and vibration of vertical flexible loops are investigated theoretically and experimentally. Both upright and hanging loops are considered. Potential applications include nanorings and carbon nanotubes as force sensors or structural components. The upright tubes rest on a rigid or linearly elastic (Winkler) foundation, and cases with adhesion and nonlocal elasticity are included in the analysis. The hanging loops are suspended by a clamp with zero or finite length. The effects of self-weight, foundation stiffness, work of adhesion, and nonlocal elasticity on the loop height or depth are determined, as well as the effects of self-weight and foundation stiffness on the lowest frequency for in-plane symmetric vibration. Good agreement is attained between theoretical results (based on an inextensible-elastica model) and experimental data. © 2014 Elsevier Ltd. All rights reserved.

Duke Scholars

Published In

International Journal of Solids and Structures

DOI

ISSN

0020-7683

Publication Date

January 1, 2014

Volume

51

Issue

18

Start / End Page

3067 / 3075

Related Subject Headings

  • Mechanical Engineering & Transports
  • 40 Engineering
  • 09 Engineering
 

Citation

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Plaut, R. H., & Virgin, L. N. (2014). Deformation and vibration of upright loops on a foundation and of hanging loops. International Journal of Solids and Structures, 51(18), 3067–3075. https://doi.org/10.1016/j.ijsolstr.2014.05.003
Plaut, R. H., and L. N. Virgin. “Deformation and vibration of upright loops on a foundation and of hanging loops.” International Journal of Solids and Structures 51, no. 18 (January 1, 2014): 3067–75. https://doi.org/10.1016/j.ijsolstr.2014.05.003.
Plaut RH, Virgin LN. Deformation and vibration of upright loops on a foundation and of hanging loops. International Journal of Solids and Structures. 2014 Jan 1;51(18):3067–75.
Plaut, R. H., and L. N. Virgin. “Deformation and vibration of upright loops on a foundation and of hanging loops.” International Journal of Solids and Structures, vol. 51, no. 18, Jan. 2014, pp. 3067–75. Scopus, doi:10.1016/j.ijsolstr.2014.05.003.
Plaut RH, Virgin LN. Deformation and vibration of upright loops on a foundation and of hanging loops. International Journal of Solids and Structures. 2014 Jan 1;51(18):3067–3075.
Journal cover image

Published In

International Journal of Solids and Structures

DOI

ISSN

0020-7683

Publication Date

January 1, 2014

Volume

51

Issue

18

Start / End Page

3067 / 3075

Related Subject Headings

  • Mechanical Engineering & Transports
  • 40 Engineering
  • 09 Engineering