向量回转及向量微回转代数(英文)

The Algebra of Finite and Infinitesimal Vector Rotation

向量回转作为刚体转动的一种描述,不仅简便而且直观。本文补充和发展了向量的回转及微回转代数。共为轭曲面原理,机构分析的有限微回转法及共轭弹性动力学奠定了必要的数学基础。

For the description of arbitrary rotation , vector rotation (0 <o ) ?r is notable for its simplicity and lucidity . The present work makes some supplements to the algebra of finite vector rotation and develops the algebra of infinitesimal rotation , which forms the mathematical basis of the theory of conjugate surfaces and conjugate - clasto - dynamics .