The Trajectories Construction of the Universal Joint Movement in the Configuration Space in ℝ3
- Authors: Lamotkin A.E.1, Misyura N.E.1, Mityushov E.A.1
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Affiliations:
- Ural Federal University
- Issue: Vol 10, No 1 (2023)
- Pages: 60-66
- Section: COMPUTER MODELING AND DESIGN AUTOMATION SYSTEMS
- URL: https://journals.eco-vector.com/2313-223X/article/view/545839
- DOI: https://doi.org/10.33693/2313-223X-2023-10-1-60-66
- ID: 545839
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Abstract
In this paper, the study of the movement of the universal joint using the quaternion formalism was carried out, the law of movement of the cross of the universal joint was established with a known law of rotation of the drive shaft. A method of visual interpretation of the law of motion of the crosspiece is proposed, using the mapping of unit quaternions into a three-dimensional ball with radius 2π.
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About the authors
Alexey E. Lamotkin
Ural Federal University
Email: alexey.lamotkin@urfu.ru
ORCID iD: 0000-0003-0299-7046
senior lecturer at the Department of Fundamental Education of the Ural Federal University named after the first President B.N. Yeltsin
Russian Federation, EkaterinburgNatalia E. Misyura
Ural Federal University
Email: n_misura@mail.ru
ORCID iD: 0000-0001-8514-6671
Cand. Sci. (Eng.); associate professor at the Department of New Materials and Technologies of the Ural Federal University named after the first President B.N. Yeltsin
Russian Federation, EkaterinburgEvgenii A. Mityushov
Ural Federal University
Author for correspondence.
Email: mityushov-e@mail.ru
ORCID iD: 0000-0001-7337-1492
Dr. Sci. (Eng.), Professor; Professor at the Department of New Materials and Technologies of the Ural Federal University named after the first President B.N. Yeltsin
Russian Federation, EkaterinburgReferences
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