Dual Transformations and Instantaneous Screw Axes

Abstract

In this study, we investigate instantaneous screw axes with the help of a dual transformation which is defined in [1]. This transformation makes clear the relations between Euclidean space and Lorentzian space. The aim of this paper is to observe instantaneous screw axes under this dual transformation.

Kinematic Applications of Hyper-Dual Numbers

“…E. Study [11] and A. P. Kotelnikov [10] applied dual numbers in mechanism for the first time by using a dual vector instead of two vectors. In the following years, dual numbers are used in the investigation of instantaneous screw axes with the help of dual transformations in R 3 and in Minkowski space E 3 1 [13][14]. Complex numbers have important advantages in derivative calculations.…”