Article thumbnail

Self-contact for rods on cylinders

By GHM van der Heijden, MA Mark Peletier and R Planqué

Abstract

We study self-contact phenomena in elastic rods that are constrained to lie on a cylinder. By choosing a particular set of variables to describe the rod centerline the variational setting is made particularly simple: the strain energy is a second-order functional of a single scalar variable, and the self-contact constraint is written as an integral inequality. Using techniques from ode theory (comparison principles) and variational calculus (cut-and-paste arguments) we fully characterize the structure of constrained minimizers. An important auxiliary result states that the set of self-contact points is continuous, a result that contrasts with known examples from contact problems in free rod

Publisher: Centrum voor Wiskunde en Informatica
Year: 2004
OAI identifier: oai:library.tue.nl:762912
Provided by: Repository TU/e
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://repository.tue.nl/76291... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.