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) |
|---|---|
| Pages (from-to) | 263-268 |
| Number of pages | 6 |
| Journal | Journal of Mechanical Design, Transactions of the ASME |
| Volume | 114 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 1992 |
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
- Computer Science Applications
- Computer Graphics and Computer-Aided Design