THE EXPLICIT REPRESENTATION TO THE PRINCIPAL ROTATION ANGLE AND THE PRINCIPAL ROTATION AXIS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 653-659.

THE EXPLICIT REPRESENTATION TO THE PRINCIPAL ROTATION ANGLE AND THE PRINCIPAL ROTATION AXIS

兑关锁, 左晓宝

Department of Applied Mechanics, Nanjing University of Science and Technology, Nanjing 210094, P. R. China

收稿日期:1997-05-20 修回日期:1998-11-15 出版日期:1999-06-18 发布日期:1999-06-18

THE EXPLICIT REPRESENTATION TO THE PRINCIPAL ROTATION ANGLE AND THE PRINCIPAL ROTATION AXIS

Dui Guansuo, Zhuo Xiaobao

Department of Applied Mechanics, Nanjing University of Science and Technology, Nanjing 210094, P. R. China

Received:1997-05-20 Revised:1998-11-15 Online:1999-06-18 Published:1999-06-18

摘要/Abstract

摘要： By using Cayley-Hamilton theorem,two kinds of explicit representation for th e rotation tensor are proposed.One contains the lower powers of deformation gradient,by which the formula of the principal rotation angle and the explicit representation of principal axis are obtained;the other,a high efficient method to obtain th e rotation tensor,does not contain the complicated coefficients and u ses few variables.Some properties about the principal rotation angle and the principal rotation axis are obtained.

关键词: stretch tensor, principal rotation angle, principal rotation axis

Abstract: By using Cayley-Hamilton theorem,two kinds of explicit representation for th e rotation tensor are proposed.One contains the lower powers of deformation gradient,by which the formula of the principal rotation angle and the explicit representation of principal axis are obtained;the other,a high efficient method to obtain th e rotation tensor,does not contain the complicated coefficients and u ses few variables.Some properties about the principal rotation angle and the principal rotation axis are obtained.

Key words: stretch tensor, principal rotation angle, principal rotation axis

中图分类号:

兑关锁;左晓宝. THE EXPLICIT REPRESENTATION TO THE PRINCIPAL ROTATION ANGLE AND THE PRINCIPAL ROTATION AXIS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 653-659.

Dui Guansuo;Zhuo Xiaobao. THE EXPLICIT REPRESENTATION TO THE PRINCIPAL ROTATION ANGLE AND THE PRINCIPAL ROTATION AXIS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 653-659.

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THE EXPLICIT REPRESENTATION TO THE PRINCIPAL ROTATION ANGLE AND THE PRINCIPAL ROTATION AXIS

THE EXPLICIT REPRESENTATION TO THE PRINCIPAL ROTATION ANGLE AND THE PRINCIPAL ROTATION AXIS

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