Conservation of angular momentum and energy in the integration of non-linear dynamic equations

Authors
Briseghella, L Majorana, CE Pellegrino, C
Citation
L. Briseghella et al., Conservation of angular momentum and energy in the integration of non-linear dynamic equations, COMPUT METH, 179(3-4), 1999, pp. 247-263
Citations number
7
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
179
Issue
3-4
Year of publication
1999
Pages
247 - 263
Database
ISI
SICI code
0045-7825(19990902)179:3-4<247:COAMAE>2.0.ZU;2-8
Abstract
The analysis and implementation of a step-by-step algorithm conceived to pr eserve scalar invariants of motion (i.e. angular momentum and energy) of a rigid body in the integration of non-linear dynamic equations is presented here. The considered rigid body is subjected to generic translational and r otational motions with large displacements and finite rotations. The algori thm is implemented in a new efficient C++ f.e.m. code which allows an easy performance of several numerical applications. (C) 1999 Elsevier Science S. A. All rights reserved.