Adjacent Equilibria in Highly Flexible Upright Loop on Rigid Foundation


Journal Article

© 2015, Society for Experimental Mechanics. For very slender structural components, self-weight may compete with elastic flexural stiffness in determining equilibrium configurations. In cases where the inherent elastic stiffness is low (relative to self-weight) we observe a variety of types of highly nonlinear behavior in the equilibrium shapes, together with changes in the natural frequencies of small oscillations about these equilibrium configurations. This technical note describes a specific phenomenon observed in experiments on very slender polycarbonate loops. In addition to profound changes in equilibrium shapes as a function of weight-to-stiffness ratio, under some circumstances it is possible to have two adjacent, co-existing equilibrium configurations. This robust, highly nonlinear snap-through behavior is demonstrated by perturbing from one shape to the other.

Full Text

Duke Authors

Cited Authors

  • Virgin, LN; Plaut, RH; Cartee, EV

Published Date

  • July 5, 2015

Published In

Volume / Issue

  • 55 / 6

Start / End Page

  • 1191 - 1197

Electronic International Standard Serial Number (EISSN)

  • 1741-2765

International Standard Serial Number (ISSN)

  • 0014-4851

Digital Object Identifier (DOI)

  • 10.1007/s11340-015-0011-7

Citation Source

  • Scopus