Vol.6, No 1, 2007 pp.
81-88
UDC
621.882:530.145.6+519.233(045)=111
ON THE INSTANTANEOUS SCREW AXES
OF TWO PARAMETER MOTIONS
Murat Kemal Karacan1, Yusuf Yayli2
1Kahramanmaras Sutcu Imam University, Faculty of Sciences and Letters,
Department of Mathematics, Avsar Campus, 46100 K.Maras, Turkey
E-mail: mkkaracan@ksu.edu.tr
2Ankara University, Faculty of Science, Department of Mathematics,
06100 Tandogan, Ankara, Turkey
E-mail: yayli@science.ankara.edu.tr
Abstract.
In this study, two parameter motions by using the rank of rotation matrix were analysed and some theorems were given. The locus of the instantaneous screw axes of two parameter motions for special case n=3 were investigated. Furthermore, the locus of the instantaneous screw axes is a ruled surface in the position (lambda,µ) = (0,0) were shown.
Key words:
Two parameter motion, one parameter motion, instantaneous screw axis (I.S.A), ruled surface
O SKUPU TRENUTNIH OSA DVOPARAMETARSKOG KRETANJA
U radu su izučavana dvoparametarska kretanja korišćenjem ranga matrice rotacije, i definisano je nekoliko teorema. Položaj skupa trenutnih osa dvoparametarskog kretanja za specijalan slučaj n=3 je izučen. Pokazano je da je položaj skupa trenutnih osa površ rulete u položaju (lambda,µ) = (0,0).
Ključne reči:
dvoprametarsko kretanje, jednoparametarsko kretanje, skup trenutnih osa (I.S.A), površi ruleta
