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

Published

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Plaut, RH; Virgin, LN

Published Date

  • January 1, 2014

Published In

Volume / Issue

  • 51 / 18

Start / End Page

  • 3067 - 3075

International Standard Serial Number (ISSN)

  • 0020-7683

Digital Object Identifier (DOI)

  • 10.1016/j.ijsolstr.2014.05.003

Citation Source

  • Scopus