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.
Original language | English (US) |
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Pages | 439-444 |
Number of pages | 6 |
State | Published - 1990 |
Event | 21st Biennial Mechanism Conference - Chicago, IL, USA Duration: Sep 16 1990 → Sep 19 1990 |
Other
Other | 21st Biennial Mechanism Conference |
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City | Chicago, IL, USA |
Period | 9/16/90 → 9/19/90 |
All Science Journal Classification (ASJC) codes
- General Engineering