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

TitleDeformation and vibration of upright loops on a foundation and of hanging loops
Publication TypeJournal Article
Year of Publication2014
AuthorsPlaut, RH, and Virgin, LN
JournalInternational Journal of Solids and Structures
Volume51
Issue18
Start Page3067
Pagination3067 - 3075
Date Published09/2014
Abstract

<p>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.</p>

DOI10.1016/j.ijsolstr.2014.05.003
Short TitleInternational Journal of Solids and Structures