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

Year 2020, Volume: 16 Issue: 2, 215 - 224, 24.06.2020

Mehmet Aydınalp Mustafa Kazaz Hasan Hüseyin Uğurlu

Abstract

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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