Instantaneous Point, Line, and Plane Motions Using a Clifford Algebra

Instantaneous Point, Line, and Plane Motions Using a Clifford Algebra

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摘要 The motions of points, lines, and planes, embedded in a rigid body are expressed in a unified algebraic framework using a Clifford algebra. A Clifford algebra based displacement operator is addressed and its higher derivatives from which the coordinate-independent characteristic numbers with simple geometric meaning are defined. Because of the coordinate independent feature, no tedious coordinate transformation typically found in the conventional instantaneous invariants methods is needed.

作者 Kwun-Lon Ting Yi Zhang

机构地区 Center for Manufacturing Research

出处《机械设计与研究》 CSCD 2004年第z1期107-110,共4页 Machine Design And Research

基金 This material is based upon work supported by the National Science Foundation under Grant No. DMI-0219859 and MSS-9301975.

关键词 Instantaneous kinematics Motion characteristic CURVATURE theory POINT trajectory LINE trajectory Plane TRAJECTORY

分类号 TH122 [机械工程—机械设计及理论]

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Instantaneous Point, Line, and Plane Motions Using a Clifford Algebra

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