Measurement of the Euler Angles of Wurtzitic ZnO by Raman Spectroscopy
Journal of Spectroscopy, 2017 A Raman spectroscopy-based step-by-step measuring method of Euler angles φ,θ,and ψ was presented for the wurtzitic crystal orientation on a microscopic scale.
Wu Liu, Qiu Li, Gang Jin, Wei Qiu
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Compact Lie Groups, Generalised Euler Angles, and Applications
Universe, 2022 This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
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Variations on the theme Euler angles [PDF]
Surveys in Mathematics and its Applications, 2019 We discuss different parameterizations of the Lie group SO(3). The well-known Rodrigues formula describes the three dimensional orthogonal matrices in terms of their axes and angles of rotation.
Clementina D. Mladenova +1 more
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An Enhanced Dynamic Model of a Spatial Parallel Mechanism Receiving Direct Constraints from the Base at Two Point-Contact Higher Kinematic Pairs [PDF]
BiomimeticsIn this paper, a biologically congruent parallel mechanism (PM) inspired by the masticatory system of human beings has been proposed to recreate complete chewing behaviours in three-dimensional space.
Chen Cheng, Xiaojing Yuan, Yenan Li
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Libration points in the restricted three-body problem: Euler angles, existence and stability
Discrete and Continuous Dynamical Systems - Series S, 2019 The objective of the present paper is to study in an analytical way the existence and the stability of the libration points, in the restricted three-body problem, when the primaries are triaxial rigid bodies in the case of the Euler angles of the ...
H. Selim +2 more
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Application of Krylov–Bogoliubov–Mitropolski method to asymmetric gyrostatic 3D motion in multi-fields [PDF]
Scientific ReportsThe 3D rotary movement of an asymmetric rigid body (RB) in space around a fixed point is investigated. A gyrostatic torque (GT), a magnetic field (MF), and a Newtonian force field (NFF) all have an impact on the RB’s ability to rotate.
T. S. Amer +2 more
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Analytical Formulation of Relationship Between Sensors and Euler Angle Errors for Arbitrary Stationary Alignment Based on Accelerometer and Magnetometer [PDF]
SensorsAn attitude and heading reference system (AHRS) based on the inertial measurement unit is crucial for various applications. In an AHRS, stationary alignments are performed to determine the initial orientation of the sensor frame with respect to the ...
Chang June Lee, Jung Keun Lee
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Geometrically exact beam theory without Euler angles
International Journal of Solids and Structures, 2011 AbstractIn modeling highly flexible beams undergoing arbitrary rigid–elastic deformations, difficulties exist in describing large rotations using rotational variables, including three Euler angles, two Euler angles, one principal rotation angle plus three direction cosines of the principal rotation axis, four Euler parameters, three Rodrigues ...
P. Frank Pai
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A New Analytical Method to Improve Attitude Correction in Inertial Navigation Systems [PDF]
AUT Journal of Modeling and Simulation, 2022 Inertial Navigation Systems suffer from accumulative errors due to their dead reckoning structure. Consequently, the navigation reset or realigning process of such systems is unavoidable.
Hamed Mohammadkarimi +3 more
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Statistical properties of effective elastic moduli of random cubic polycrystals
Mechanics & Industry, 2023 The homogenized elastic properties of polycrystals depend on the grain morphology and crystallographic orientations. For simplification purposes, the orientations of the grains are usually considered three independent Euler angles.
Sheng Ningyue +3 more
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