Euler-Lagrange equations for variational problems on space curves

Peter Hornung
Phys. Rev. E 81, 066603 – Published 28 June 2010

Abstract

We derive the Euler-Lagrange equations for a large class of variational problems on curves. Our result generalizes a recent result obtained in the literature. Moreover, it is simple and self-contained. It directly yields Euler-Lagrange equations in the form of equilibrium equations for the internal force and moment.

  • Received 11 December 2009

DOI:https://doi.org/10.1103/PhysRevE.81.066603

©2010 American Physical Society

Authors & Affiliations

Peter Hornung*

  • Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, United Kingdom

  • *p.hornung@bath.ac.uk

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Issue

Vol. 81, Iss. 6 — June 2010

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