Complete notation for dual velocity

Document Type

Conference Proceeding

Publication Date

12-1-1990

Abstract

A notation is developed which specifies a dual velocity without ambiguity. The point of interest, the moving body, the reference body and the system of unit vectors in which a dual velocity is expressed are all clearly indicated. The equivalence between the equation of transformation and the coordinate-transformation matrix formulation is shown. Equations are developed to enable calculation of the dual velocity at a point in a body given the dual velocity at any other point, to change the system of unit vectors in which a dual velocity is expressed, and to calculate relative velocities. Use of these equations is demonstrated in an example using the spatial four-bar mechanism which is specialized to the Cardan joint and the wobble-plate mechanism, and the effect of some tolerance errors on output velocity is shown.

Identifier

0025628580 (Scopus)

Publication Title

American Society of Mechanical Engineers Design Engineering Division Publication DE

First Page

439

Last Page

444

Volume

25

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