The explicit representation to the principal rotation angle and the principal rotation axis

Authors
Dui, GS Zhuo, XB
Citation
Gs. Dui et Xb. Zhuo, The explicit representation to the principal rotation angle and the principal rotation axis, APP MATH ME, 20(6), 1999, pp. 653-659
Citations number
8
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
20
Issue
6
Year of publication
1999
Pages
653 - 659
Database
ISI
SICI code
0253-4827(199906)20:6<653:TERTTP>2.0.ZU;2-C
Abstract
By using Cayley-Hamilton theorem, two kinds of explicit representation for the rotation tensor are proposed. One contains the lower powers of deformat ion gradient, by which the formula of the principal rotation angle and the explicit representation of principal axis are obtained; the other, a high e fficient method to obtain the rotation tensor, does not contain the complic ated coefficients and uses few variables. Some properties about the princip al rotation angle and the principal rotation axis are obtained.