On Determining Parameters of the Twist-Axis for the Finite Displacement of a Body
It is well known that a general displacement of a rigid body may be regarded as a finite twisting motion upon an axis in space. Such a twist axis may be treated as a screw when a measure of pitch appropriate to finite twists is used. The author has recently shown that when the displacement of a specialised, axi-symmetric, body is considered, each of the infinity of finite twist screws which are then available for the displacement is a linear combination of just two of their number.
This result is here exploited to derive parameters of the finite twist axis for displacement of a generally shaped body.
Unable to display preview. Download preview PDF.
- Chasles, M., “Note sur les proprietes generales du Systeme de deux corps…”, Bull. Sci.Math. Ferrusac, Vol. 14, pp. 321–326, 1830.Google Scholar
- Hunt, K.H., “Manipulating a Body through a Finite screw Displacement”, Proceedings of the 7th World Congress, IFToMM, Sevilla Spain, Sept 1987, Pergamon Press 1987, pp. 187–191, 1987.Google Scholar
- Parkin, I.A., “Co-ordinate Transformations of Screws with Applications to Screw Systems and Finite Twists”, Technical Report TR 342, Basser Dept. of Computer Science, University of Sydney, May 1988.Google Scholar
- Parkin, I.A., “A Third Conformation with the Screw Systems: Finite Twist Displacements of a Directed Line and Point”, Technical Report TR 351, Basser Dept. of Computer Science, University of Sydney, October 1989.Google Scholar
- Phillips, Jack, “Freedom in Machinery”, Vol. 1, Cambridge University Press, 1984.Google Scholar
- Phillips, J.R., and Zhang, W.X., “The Screw Triangle and the Cylindroid”, Proceedings of the 7th World Congress, IFToMM, Sevilla Spain, Sept 1987, Pergamon Press, 1987, pp. 179–182, 1987.Google Scholar
- Phillips, Jack, “Freedom in Machinery”, Vol. 2, Cambridge University Press, 1990.Google Scholar