Mehmet AYDINALP, Mustafa KAZAZ, Hasan Hüseyin UĞURLU

The Forward Kinematics of Rolling Contact of Timelike Curves Lying on Timelike Surfaces

The aim of the present study is to investigate the forward kinematics of spin-rolling contact motion of one timelike surface on another timelike surface along their timelike trajectory curves in Lorentzian 3-space. This study does not take sliding motion into consideration but applies a new Darboux frame method to establish the kinematics of spin-rolling motion.

Keywords:

Darboux frame, forward kinematics, Lorentzian 3-space pure-rolling, rolling contact, spin-rolling,

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