A finite element approach to the chaotic motion of geometrically exact rods undergoing in-plane deformations

authored by

C. Sansour, J. Sansour, Peter Wriggers

Abstract

The paper is concerned with a hybrid finite element formulation for the geometrically exact dynamics of rods with applications to chaotic motion. The rod theory is developed for in-plane motions using the direct approach where the rod is treated as a one-dimensional Cosserat line. Shear deformation is included in the formulation. Within the elements, a linear distribution of the kinematical fields is combined with a constant distribution of the normal and shear forces. For time integration, the mid-point rule is employed. Various numerical examples of chaotic motion of straight and initially curved rods are presented proving the powerfulness and applicability of the finite element formulation.

External Organisation(s)

Technische Universität Darmstadt

Type

Article

Journal

Nonlinear dynamics

Volume

11

Pages

189-212

No. of pages

24

ISSN

0924-090X

Publication date

10.1996

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Control and Systems Engineering, Aerospace Engineering, Ocean Engineering, Mechanical Engineering, Applied Mathematics, Electrical and Electronic Engineering

Electronic version(s)

https://doi.org/10.1007/BF00045001 (Access: Unknown)

 

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