A new algorithm to model the dynamics of 3-D bonded rigid bodies with rotations

Wang, Yucang (2008) A new algorithm to model the dynamics of 3-D bonded rigid bodies with rotations. Acta Geotechnica, 4 2: 117-127.


Author Wang, Yucang
Title A new algorithm to model the dynamics of 3-D bonded rigid bodies with rotations
Journal name Acta Geotechnica   Check publisher's open access policy
ISSN 1861-1125
1861-1133
Publication date 2008-05-06
Year available 2008
Sub-type Article (original research)
DOI 10.1007/s11440-008-0072-1
Volume 4
Issue 2
Start page 117
End page 127
Total pages 11
Editor Wei Wu
Place of publication Berlin / Heidelberg
Publisher Springer
Collection year 2009
Language eng
Subject 040402 Geodynamics
970104 Expanding Knowledge in the Earth Sciences
C1
Abstract In this paper we propose a new algorithm to simulate the dynamics of 3-D interacting rigid bodies. Six degrees of freedom are introduced to describe a single 3-D body or particle, and six relative motions and interactions are permitted between bonded bodies. We develop a new decomposition technique for 3-D rotation and pay particular attention to the fact that an arbitrary relative rotation between two coordinate systems or two rigid bodies can not be decomposed into three mutually independent rotations around three orthogonal axes. However, it can be decomposed into two rotations, one pure axial rotation around the line between the centers of two bodies, and another rotation on a specified plane controlled by another parameter. These two rotations, corresponding to the relative axial twisting and bending in our model, are sequence-independent. Therefore all interactions due to the relative translational and rotational motions between linked bodies can be uniquely determined using such a two-step decomposition technique. A complete algorithm for one such simulation is presented. Compared with existing methods, this algorithm is physically more reliable and has greater numerical accuracy.
Keyword Bonded rigid-bodies
Decomposition of 3-D finite rotations
Quaternion
Q-Index Code C1
Q-Index Status Confirmed Code

 
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Created: Wed, 08 Apr 2009, 19:53:43 EST by Tracy Paroz on behalf of Earth Systems Science Computational Centre