| 主转动角与主转动轴的显式表示 |
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| 引用本文： | 兑关锁,左晓宝.主转动角与主转动轴的显式表示[J].应用数学和力学,1999,20(6):613-618. |
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| 作者姓名： | 兑关锁 左晓宝 |
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| 作者单位： | 南京理工大学应用力学系, 南京 210094 |
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| 摘 要： | 本文利用Cayley-Hamilton定理,给出了两种直接获得转动张量显式表示的方法。一种为只含变形梯度较低次幂的表达形式,利用此表示,获得了主转动角的计算公式和主转动轴的显式表示。而另一种则是不含复杂系数且含变量个数较少的高效获得转动张量的方法。进一步,给出了主转动角和主转动轴的一些性质。
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| 关 键 词： | 转动张量 主转动角 主转动轴 |
| 收稿时间： | 1997-05-20 |
| 修稿时间： | 1997-05-20 |
The Explicit Representation to the Principal Rotation Angle and the Principal Rotation Axis |
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| Dui Guansuo,Zhuo Xiaobao.The Explicit Representation to the Principal Rotation Angle and the Principal Rotation Axis[J].Applied Mathematics and Mechanics,1999,20(6):613-618. |
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| Authors: | Dui Guansuo Zhuo Xiaobao |
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| Institution: | Department of Applied Mechanics, Nanjing University of Science and Technology, Nanjing 210094, P R China |
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| Abstract: | By using Cayley_Hamilton theorem, two kinds of explicit representation for the rotation tensor are proposed. The 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 the rotation tensor, does not contain the complicated coefficients and uses few variables. Some properties about the principal rotation angle and principal rotations axis are obtained. |
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| Keywords: | stretch tensor principal rotation angle principal rotation axis |
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