<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In the rigid body kinematics, the position of the mobile frame in relation to the fixed frame is given by the base-change matrix. The elements of this orthogonal matrix are given by the Euler’s angles. This paper establishes the reverse link relations between the Euler’s angles and the elements of the base-change matrix (directional cosines).</p>
</abstract>

In the rigid body kinematics, the position of the mobile frame in relation to the fixed frame is given by the base-change matrix. The elements of this orthogonal matrix are given by the Euler’s angles. This paper establishes the reverse link relations between the Euler’s angles and the elements of the base-change matrix (directional cosines).

Expressions of Euler Angles as Functions of the Directional Cosines of Three-Orthogonal Axes in Rigid Body Kinematics - II

“Gheorghe Asachi” Technical University of Iaşi

Bulletin of the Polytechnic Institute of Iași. Machine constructions Section

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In the rigid body kinematics, the position of the mobile frame in relation to the fixed frame is given by the base-change matrix. The elements of this...

Expressions of Euler Angles as Functions of the Directional Cosines of Three-Orthogonal Axes in Rigid Body Kinematics - II

Published Online: Feb 23, 2022

Page range: 17 - 24

Received: Nov 01, 2021

Accepted: Nov 17, 2021

DOI: https://doi.org/10.2478/bipcm-2021-0019

Keywords
three-orthogonal axes, Euler’s angles, directional cosines

© 2021 Eugen Corduneanu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Expressions of Euler Angles as Functions of the Directional Cosines of Three-Orthogonal Axes in Rigid Body Kinematics - II

Published Online: Feb 23, 2022

Page range: 17 - 24

Received: Nov 01, 2021

Accepted: Nov 17, 2021

DOI: https://doi.org/10.2478/bipcm-2021-0019

Keywordsthree-orthogonal axes, Euler’s angles, directional cosines

© 2021 Eugen Corduneanu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
three-orthogonal axes, Euler’s angles, directional cosines