Analytical kinematics of plane motion mechanisms Download analytical kinematics of plane motion mechanisms or read online here in PDF or EPUB. Please click button to get analytical kinematics of plane motion mechanisms book now. All books are in clear copy here, and all files are secure so don't worry about it. On the Kinematics of Three-Link Spatial Cam Mechanisms 351 where rA 0 is the position vector of point A after a finite displacement of the rigid body, and is the position vector of any point on the screw axis. Note that the coordinate transformation.
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This paper studies mappings of spatial kinematics and the geometry for which a spatial displacement is an element. Study’s soma is reviewed and it is shown that Euclidean geometry in three-space with spatial displacements as elements corresponds to elliptic geometry of points in a projective dual three-space. Study’s eight parameters are used to define the mapping of spatial kinematics into points of this projective dual three-space. The basic geometric properties of this dual three-space representation of Study’s soma is developed and it is applied to the study of spatial motions and mechanisms.