The Trajectories Construction of the Universal Joint Movement in the Configuration Space in ℝ3

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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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作者简介

Alexey 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

俄罗斯联邦, Ekaterinburg

Natalia 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

俄罗斯联邦, Ekaterinburg

Evgenii Mityushov

Ural Federal University

编辑信件的主要联系方式.
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

俄罗斯联邦, Ekaterinburg

参考

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补充文件

附件文件
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1. JATS XML
2. Fig. 1. Cardan scheme

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3. Fig. 2. Roll γ(t)

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4. Fig. 3. Orientation quatenion plots q0(t), q1(t), q2(t), q3(t)

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5. Fig. 4. The plots of projections of the angular velocity Ω1(t), Ω2(t), Ω3(t) on the moving axes

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6. Fig. 5. The plots of projections of the angular velocity ω1(t), ω2(t), ω3(t) on the fixed axes

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7. Fig. 6. The trajectories of the cross movement in a three-dimensional ball with radius 2π at α = 0, α = π/6 and at α = π/3

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