Finite rotations in dynamics of beams and implicit time-stepping schemes
Finite rotations in dynamics of beams and implicit time-stepping schemes
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DOI：
10.1002/(sici)1097-0207(19980315)41:5
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发表时间：
1998-03
影响因子：
2.9
通讯作者：
A. Ibrahimbegovic;M. Mikdad
中科院分区：
文献类型：
--
作者：
A. Ibrahimbegovic;M. Mikdad
我们研究与梁的动力学有关的三维有限旋转的理论和计算方面。所要考虑的模型问题是能够以几何精确的方式模拟有限应变和有限转动的Reissner梁理论。特别强调澄清几何方面、有限旋转更新和与旋转参数的不同选择有关的相关线性化过程。后者在构造时间步进方案的最优实现中起着重要的作用。©1998 John Wiley&Sons，Ltd.
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. © 1998 John Wiley & Sons, Ltd.