卡尔丹角及其在跳马侧空翻转体轨迹中的应用——人体三维转动研究的新方法

The Cardanic Angle and Its Application on Rotational Tracks of Somersault & Twist in Horse-Vaulting——A New Study of Human Body 3-D Rotation

在建立连体坐标系后,为了避免奇异值出现采用相对方向余弦矩阵计算有实际意义的三维角坐标(卡尔丹角坐标),用绝对方向余弦矩阵计算绝对角速度,并使用FORTRAN77和Visual C++ 6.0语言将它们编成完整的计算软件用于人体三维转动瞬时状态的研究。该软件在跳马侧手翻直体侧空翻转体810°动作的实测中准确、详尽地对人体三维转动技术进行了定量描述和分析,且计算结果与动作技术实际相吻合。

After establishing body-fixed base, this paper, for avoiding the singular value, has used the relative direction cosine matrix to calculate the Cardanic angle and the absolute direc tion cosine matrix to calculate 3-D angular velocity, then used FORTRAN77 and Visual C＋＋ 6.0 language to make a complete computing software, which has been well applied in the Kasa matsu gastr, m. 3/2 in horse vaulting. The results calculated by which are coincided with the real performance techniques.