Kinematic Analysis in 3-Dimensional Generalized Space

Ümit Ziya Savcı

doi:10.17776/csj.1054869

EN

Kinematic Analysis in 3-Dimensional Generalized Space

Abstract

In this paper, we have first obtained the derivatives of spherical and spatial motions by using the special matrix group in generalized space E3(α,β). The rotation matrices and tangent operators were found by using derivatives of one- and multi-parameters motions in E3(α,β). Also, we obtained the angular velocity matrix of the moving body and its linear velocity vector. Finally, we gave some examples including applications of tangent operators and rotation matrices in support of our results.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ümit Ziya Savcı ^*
0000-0003-2772-9283
Türkiye

Publication Date

June 29, 2022

Submission Date

January 7, 2022

Acceptance Date

April 22, 2022

Published in Issue

Year 2022 Volume: 43 Number: 2

DOI

https://doi.org/10.17776/csj.1054869

IZ

https://izlik.org/JA57EZ47RA

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RIS / Bibtex

APA

Savcı, Ü. Z. (2022). Kinematic Analysis in 3-Dimensional Generalized Space. Cumhuriyet Science Journal, 43(2), 299-307. https://doi.org/10.17776/csj.1054869

Cited By

Screw Motion via Matrix Algebra in Three-Dimensional Generalized Space

Symmetry

https://doi.org/10.3390/sym14112235

Kinematic Analysis in 3-Dimensional Generalized Space

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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Cited By

Screw Motion via Matrix Algebra in Three-Dimensional Generalized Space