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| 刚体定点转动欧拉角的几何性质 | |
| 引用本文： | 王勇,吕群松,刘畅,刘世兴.刚体定点转动欧拉角的几何性质[J].辽宁大学学报(自然科学版),2009,36(3):197-200. |
| 作者姓名： | 王勇 吕群松 刘畅 刘世兴 |
| 作者单位： | 1. 广东医学院基础学院,广东,东莞,523808 2. 广东医学院实验管理处,广东,东莞,523808 3. 辽宁大学,物理学院,辽宁,沈阳,110036;北京理工大学,应用力学系,北京,100081 4. 辽宁大学,物理学院,辽宁,沈阳,110036 |
| 摘 要： | 以一个两质点刚体为例,通过计算曲率和挠率,验证了欧拉角空间是无挠率的Riemann空间与刚体角速度对应的准坐标空间是有挠率的Riemann-Cartan空间的结论. |
| 关 键 词： | 欧拉角 角速度 曲率 挠率 Riemann-Cartan空间 |
Geometric Character of Euler Angles Describing Rotation of a Rigid Body with One Fixed Point |
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| WANG Yong,LU Qun-Song,LIU Chang,LIU Shi-Xing.Geometric Character of Euler Angles Describing Rotation of a Rigid Body with One Fixed Point[J].Journal of Liaoning University(Natural Sciences Edition),2009,36(3):197-200. | |
| Authors: | WANG Yong LU Qun-Song LIU Chang LIU Shi-Xing |
| Institution: | 1.School of Basic Medical Science;Guangdong Medical College;Dongguan 523808;China;2.Department of Experimental Management;3.College of Physics;Liaoning University;Shenyang 110036;4.Department of Applied Mechanics;Beijing Institute of Technology;Beijing 100081;China |
| Abstract: | Take a rigid body comprising only two material points as an example,by calculating curvature and torsion,it is comfirmed that the space described by Euler angles is Riemann space without torsion,and the pseudo-coordinate space corresponding to angular velocities is Riemann-Cartan space with torsion. |
| Keywords: | Euler angles angular velocities curvature torsion Riemann-Cartanspace |
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