Critical study of Newmark-scheme on manifold of finite rotations
Research output: Contribution to journal › Article › Scientific › peer-review
|Number of pages||12|
|Journal||Computer Methods in Applied Mechanics and Engineering|
|Publication status||Published - 21 Dec 2001|
|Publication type||A1 Journal article-refereed|
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.