Abstract
In this paper, we show that the usual material form of the Newmark-time-stepping scheme of finite rotations is only a simplified version of the correct formula. This is because spin material rotation vectors, angular velocity vectors and angular accelerations vectors belong to different tangential vector spaces of a manifold at separate time moments. We give corrected Newmark-time-stepping schemes for material description and for spatial description. © 2001 Elsevier Science B.V. All rights reserved.
| Translated title of the contribution | Critical study of Newmark-scheme on manifold of finite rotations |
|---|---|
| Original language | English |
| Pages (from-to) | 817-828 |
| Number of pages | 12 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 191 |
| Issue number | 8-10 |
| DOIs | |
| Publication status | Published - 21 Dec 2001 |
| Publication type | A1 Journal article-refereed |
Publication forum classification
- No publication forum level
ASJC Scopus subject areas
- Computer Science Applications
- Computational Mechanics
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