On the curvature theory of non-null cylindrical surfaces in minkowski 3-space

This paper presents the curvature theory of non-null cylindrical surfaces in Minkowski 3-space. The de nition of the line of striction and generator trihedronfor cylindrical surfaces in Minkowski 3-space are given. The derivation formulae and Darboux instantaneous rotation vectors of generator trihe...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2016-01, Vol.6 (1), p.22
Main Authors: Sahiner, Burak, Kazaz, Mustafa, Ugurlu, Hasan Huseyin
Format: Article
Language:English
Subjects:
Analysis
Applied mathematics
Curvature
Robotics
Online Access:Get full text
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Summary:This paper presents the curvature theory of non-null cylindrical surfaces in Minkowski 3-space. The de nition of the line of striction and generator trihedronfor cylindrical surfaces in Minkowski 3-space are given. The derivation formulae and Darboux instantaneous rotation vectors of generator trihedrons which play important role in robot kinematics are found. Moreover, curvature theory of a Lorentzian circular cylinder is given as an example.
ISSN:2146-1147
2146-1147