A complete notation for dual velocity

Document Type

Article

Publication Date

1-1-1992

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. © 1992 by ASME.

Identifier

0012772710 (Scopus)

Publication Title

Journal of Mechanical Design Transactions of the ASME

External Full Text Location

https://doi.org/10.1115/1.2916941

ISSN

10500472

First Page

263

Last Page

268

Issue

2

Volume

114

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