Finite rotations in dynamics of beams and implicit time-stepping schemes

被引：1

作者：

Ibrahimbegovic, A ^{[1
]}

Al Mikdad, M ^{[1
]}

机构：

[1] Univ Technol Compiegne, Dept Genie Syst Mecan, Div MNM,Lab G2MS, CNRS,URA 1505, F-60205 Compiegne, France

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1998年 / 41卷 / 05期

关键词：

nonlinear dynamics; geometrically exact beam theory; finite rotations; Newmark scheme;

D O I：

10.1002/(SICI)1097-0207(19980315)41:5<781::AID-NME308>3.0.CO;2-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We examine theoretical and computational aspects of three-dimensional finite rotations pertinent to the dynamics of beams. The model problem chosen for consideration is the Reissner beam theory capable of modelling finite strains and finite rotations in geometrically exact manner. Special emphasis is placed on clarifying the geometry aspects, finite rotation updates and the associated linearization procedure pertaining to different choices of rotation parameters. The latter is shown to play an important role in constructing the optimal implementation of a time-stepping scheme. (C) 1998 John Wiley & Sons, Ltd.

引用

页码：781 / 814

页数：34

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