Lie Algebra Contributions to Instantaneous Plane Kinematics

Year 2023, Volume: 5 Issue: 1, 62 - 67, 22.08.2023

İlhan Karakılıç , Derya Bayrıl Aykut

https://doi.org/10.54286/ikjm.1230895

Abstract

Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp's dissertation(1963). We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.

Keywords

Geometric kinematics, instantaneous invariants, Lie algebra, time independent planar motion.

References

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