混合螺旋系线性相关性的一般性判据

Linear Independency of Hybrid Screw Group

采用线性代数的矩阵变换理论,推导出混合螺旋系线性相关性的一般性判据。该判据把复杂且难以判别的混合螺旋系相关性问题转化为判别三维自由矢量的相关性问题,无需复杂的数学运算,仅需简单的观察推理,即可完成复杂混合螺旋系线性相关性的判别。运用该判据研究了三力线矢三力偶所组成的混合螺旋系的线性相关性。

A linear independent general criterion of hybrid screw group was deduced based on the matrix transform theory of linear algebra.Identifying linear independence of complicated hybrid screw group was transformed to distinguish the linear dependence of three-dimension free vector by using the criterion.Without complex mathematical calculation,the linear independence of complicated hybrid screw group can be solved only by simple observation and reasoning.An example was given to prove the practicality of the research results.