Critical study of Newmark-scheme on manifold of finite rotations

被引：32

作者：

Mäkinen, J ^{[1
]}

机构：

[1] TTKK, Teknillinen Mekaniikka, FIN-33101 Tampere, Finland

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2001年 / 191卷 / 8-10期

关键词：

D O I：

10.1016/S0045-7825(01)00291-2

中图分类号：

T [工业技术];

学科分类号：

08 [工学];

摘要：

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. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：817 / 828

页数：12

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