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RESEARCH PAPERS

Notes on Screw Product Operations in the Formulations of Successive Finite Displacements

[+] Author and Article Information
C. Huang

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan R. O. C.

J. Mech. Des 119(4), 434-439 (Dec 01, 1997) (6 pages) doi:10.1115/1.2826387 History: Received July 01, 1995; Revised June 01, 1997; Online December 11, 2007

Abstract

Geometrical interpretations of two line-based formulations of successive finite displacements, Dimentberg’s formulation and a linear formulation, are discussed in this paper. The interpretations are based on the fact that the pitch of the screw product of two unit line vectors is consistent with Parkin’s definition of pitch. Finite twists in Dimentberg’s formulation are shown to be the screw product of unit line vectors divided by the scalar product of unit line vectors. On the other hand, Finite twists in the linear formulation are interpreted as the screw product of unit line vectors divided by the scalar product of direction-cosine vectors.

Copyright © 1997 by The American Society of Mechanical Engineers
Topics: Screws , Scalars
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