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向量微回转代数及其在机构运动分析中的应用
THE ALGEBRA OF INFINITESIMAL ORTATION AND ITS APPLICATIONS TO THE KINEMATIC ANALYSIS OF MECHANISMS
【摘要】 基于向量回转代数,推导出了向量连续回转的导数与微分的递推计算关系,并阐明了向量微小回转的一些重要性质,从而建立了向量的微回转代数。向量的微回转代数是机构运动分析的有限微回转法的数学基础,作为向量微回转代数的应用、本文对一空间一般7R,7杆机构进行了运动分析。
【Abstract】 Based on the algebra of rotation, this paper derives the relations between the derivatives of successive rot at ions, bringing to a number of important properties of infinitesimal rotation. The algebra of infinitesimal rotation is the mathematical background of the micro-rotation method,a method for the kinematic analysis of mechanisms. As a concrete example of application cf tbs algebra, the paper also discusses ths kinematic analysis of a general spatial 7R, 7-link mechanism.
【关键词】 向量回转;
有限微回转法;
向量微回转代数;
机构运动分析;
【Key words】 vector rotation; micro-rotation method; vector infinitesimal rotation algebra; kinematic analysis of mechanism.;
【Key words】 vector rotation; micro-rotation method; vector infinitesimal rotation algebra; kinematic analysis of mechanism.;
- 【文献出处】 北京理工大学学报 ,Journal of Beijing Institute of Technology , 编辑部邮箱 ,1989年01期
- 【被引频次】1
- 【下载频次】28