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向量微回转代数及其在机构运动分析中的应用
引用本文:毛明,张相麟.向量微回转代数及其在机构运动分析中的应用[J].北京理工大学学报,1989,9(1):74-83.
作者姓名:毛明  张相麟
作者单位:北京理工大学车辆工程系 (毛明,张相麟),北京理工大学车辆工程系(程瑞廷)
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。

关 键 词:向量回转  有限微回转法  机构运动

THE ALGEBRA OF INFINITESIMAL ORTATION AND ITS APPLICATIONS TO THE KINEMATIC ANALYSIS OF MECHANISMS
Mao Ming Zhang Xianglin Cheg Ruiting.THE ALGEBRA OF INFINITESIMAL ORTATION AND ITS APPLICATIONS TO THE KINEMATIC ANALYSIS OF MECHANISMS[J].Journal of Beijing Institute of Technology(Natural Science Edition),1989,9(1):74-83.
Authors:Mao Ming Zhang Xianglin Cheg Ruiting
Institution:Department of Vehicular Engineering
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.
Keywords:vector rotation  micro-rotation method  vector infinitesimal rotation algebra  kinematic analysis of mechanism    
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