Table of Contents
Journal of Computational Methods in Physics
Volume 2014, Article ID 650365, 12 pages
Research Article

Static Kirchhoff Rods under the Action of External Forces: Integration via Runge-Kutta Method

Centro de Pesquisas Avancadas Wernher von Braun, Avendia Perimetral Norte 301, Alphaville, 13098-381 Campinas, SP, Brazil

Received 23 September 2013; Accepted 20 November 2013; Published 9 January 2014

Academic Editor: Marta B. Rosales

Copyright © 2014 Ademir L. Xavier Jr.. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper shows how to apply a simple Runge-Kutta algorithm to get solutions of Kirchhoff equations for static filaments subjected to arbitrary external and static forces. This is done by suitably integrating at once Kirchhoff and filament reference system equations under appropriate initial boundary conditions. To show the application of the method, we display several numerical solutions for filaments including cases showing the effect of gravity.