Fast simulation of quasistatic rod deformations for VR applications

  • Summary. We present a model of exible rods | based on Kirchhoff\\\'s geometrically exact theory | which is suitable for the fast simulation of quasistatic deformations within VR or functional DMU applications. Unlike simple models of \\\"mass & spring\\\" type typically used in VR applications, our model provides a proper coupling of bending and torsion. The computational approach comprises a variational formulation combined with a nite dierence discretization of the continuum model. Approximate solutions of the equilibrium equations for sequentially varying boundary conditions are obtained by means of energy minimization using a nonlinear CG method. The computational performance of our model proves to be sucient for the interactive manipulation of exible cables in assembly simulation.

Download full text files

Export metadata

Additional Services

Search Google Scholar
Metadaten
Author:J. Linn, T. Stephan, J. Carlsson, R. Bohlin
URN:urn:nbn:de:hbz:386-kluedo-15681
Series (Serial Number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (143)
Document Type:Report
Language of publication:English
Year of Completion:2008
Year of first Publication:2008
Publishing Institution:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Creating Corporation:Fraunhofer ITWM
Date of the Publication (Server):2008/07/23
Tag:Kirchhoff\\\'s geometrically theory; energy minimization; finite difference discretization; mass & spring
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011