Lagrangian field theory in space and time for geometrically exact Cosserat rods

Lang H, Linn J (2009)

Publication Language: English

Publication Type: Other publication type

Publication year: 2009

Series: ITWM report

Book Volume: 150

Abstract

In this article, we derive the balance of linear and angular momentum equations for geometrically exact Cosserat rods from a two dimensional Lagrangian field approach in space and time. As we use a full quaternion description for the rotatory part of the balance equations, they constitute a system of nonlinear hyperbolic partial differential algebraic equations. We prove their equivalence to the classical Euclidean frame description.

Authors with CRIS profile

Holger Lang Institute of Applied Dynamics

Additional Organisation(s)

Institute of Applied Dynamics

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE)

How to cite

APA:

Lang, H., & Linn, J. (2009). Lagrangian field theory in space and time for geometrically exact Cosserat rods.

MLA:

Lang, Holger, and Joachim Linn. Lagrangian field theory in space and time for geometrically exact Cosserat rods. 2009.

BibTeX: Download