Results 241 to 250 of about 2,182,834 (296)

Euler angle transformations

IEEE Transactions on Automatic Control, 1966
The definition of sets of Euler angles is discussed and a useful tool for treating the mathematics associated with Euler angles is illustrated. Restricting attention to right-handed coordinate systems and positive rotations, twelve distinct but equivalent sets of Euler angles are partitioned into two subsets.
openaire   +3 more sources

How to Draw Euler Angles and Utilize Euler Parameters

Volume 2: 30th Annual Mechanisms and Robotics Conference, Parts A and B, 2006
This article presents a way to draw Euler angles such that the proper operation and application becomes immediately clear. Furthermore, Euler parameters, which allow a singularity-free description of rotational motion, are discussed within the frame-work of quaternion algebra and are applied to the kinematics and dynamics of a rigid body.
A. L. Schwab, J. P. Meijaard
openaire   +2 more sources

Frenet oscillations and Frenet–Euler angles: curvature singularity and motion-trajectory analysis

Nonlinear Dynamics, 2021
A. Shabana
semanticscholar   +3 more sources

Human-in-the-Loop Control Using Euler Angles

Journal of Intelligent and Robotic Systems: Theory and Applications, 2019
Adolfo Perrusquía, Wen Yu
semanticscholar   +3 more sources

Spectra of turbulent fluctuations of Euler angles of unmanned aerial vehicles in the altitude holding mode

Atmospheric and Ocean Optics, 2020
The turbulent power spectra of Euler angles are studied. The results of their comparison with the spectra of turbulent fluctuations of wind velocity components in the atmosphere are present.
A. Shelekhov, A. Afanasiev, A. Kobzev, Olga S. Chupina, A. Tel’minov, E. Shelekhova   +5 more
semanticscholar   +1 more source

Comparative study of attitude control methods based on Euler angles, quaternions, angle–axis pairs and orientation matrices

Transactions of the Institute of Measurement and Control, 2018
This paper presents a comparative study about the attitude control methods based on four commonly used error indicators, namely the triad of 3-2-1 deviational Euler angles, the error quaternion, the deviational angle–axis pair and the orientation error ...
M. Ozgoren
semanticscholar   +1 more source

Large deformation analysis of composite spatial curved beams with arbitrary undeformed configurations described by Euler angles with discontinuities and singularities

Computers & structures, 2018
Based on Kirchhoff theory, governing equations of a spatial curved beam with an arbitrary undeformed configuration that undergoes large deformation are established in an arc-length coordinate system and axial extension of the beam is considered. Modified
Yu-Jia Hu, Hongtao Zhou, Wei-dong Zhu, Cheng Jiang   +3 more
semanticscholar   +1 more source

Retrieval of Euler rotation angles from 3D similarity transformation based on quaternions

Journal of Spatial Science, 2020
Recently, it has been shown how quaternion-based representation of a rotation matrix has advantages over conventional Eulerian representation in 3D similarity transformations.
Sureyya Ozgur Uygur, C. Aydin, O. Akyılmaz   +2 more
semanticscholar   +1 more source

Evolution operators and Euler angles

Il Nuovo Cimento B, 2003
The Euler rotation matrix and angles are derived within a context exploiting evolution operators for vector differential equations.
G. Dattoli, L. Mezi, MIGLIORATI, Mauro
openaire   +2 more sources

Rail Geometry and Euler Angles

Rail Transportation, 2006
In railroad vehicle dynamics, Euler angles are often used to describe the track geometry (track centerline and rail space curves). The tangent and curvature vectors as well as local geometric properties such as the curvature and torsion can be expressed in terms of Euler angles.
Cheta Rathod, Ahmed A. Shabana
openaire   +1 more source