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

✍ Scribed by Adnan Ibrahimbegović; Mazen Al Mikdad

Book ID
101233828
Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
371 KB
Volume
41
Category
Article
ISSN
0029-5981

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✦ Synopsis

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

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