Home // ADVCOMP 2014, The Eighth International Conference on Advanced Engineering Computing and Applications in Sciences // View article

Kinematically Exact Beam Finite Elements Based on Quaternion Algebra

Authors:
Eva Zupan
Miran Saje
Dejan Zupan

Keywords: beam theory; non-linear geometry; quaternion algebra; finite-element formulation, statics; dynamics

Abstract:
Rotations in three-dimensional Euclidean space can be represented by the use of quaternions numerically efficient and robust. In the present approach, rotational quaternions are used as the primary quantities to describe the rotational degrees of freedom for static and dynamic analysis of geometrically non-linear beam-like structures. The classical concept of parametrization of the rotation matrix by the rotational vector is thus completely abandoned. The consistent governing equations of the beam in terms of the quaternion algebra are presented and several quaternion-based numerical implementations are discussed.

Pages: 18 to 23

Copyright: Copyright (c) IARIA, 2014

Publication date: August 24, 2014

Published in: conference

ISSN: 2308-4499

ISBN: 978-1-61208-354-4

Location: Rome, Italy

Dates: from August 24, 2014 to August 28, 2014