Results 131 to 140 of about 104,312 (183)
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Evolution operators and Euler angles
Il Nuovo Cimento B, 2003The Euler rotation matrix and angles are derived within a context exploiting evolution operators for vector differential equations.
G. Dattoli, L. Mezi, MIGLIORATI, Mauro
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Rail Geometry and Euler Angles
Rail Transportation, 2006In 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
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Relativistic spin and Euler angles
Annals of Physics, 1966Abstract The Bargmann-Wigner equations for particles of mass m ≠ 0 and spin s ≠ 0 are derived from a set of equations involving differential operators only. To this aim, an expansion of the wave function with respect to a suitable set of functions of Euler angles is utilized.
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Performing Euler angle rotations in cad systems
Computer-Aided Design, 1995The elementary result of this note can be extended and proved as follows. Let \(A\), \(B\) be the matrix representations of two linear transformations acting on a space \(V\) relative to a frame \(e\). Then the representation of the map of \(B\) in the frame \(Ae\) is \(B'= A^{-1} BA\). Hence, \(AB'= BA\). By induction, let \(A_ i'= (A_ 1\cdots A_{i-1})
Lee, Y. T., Koh, A. S.
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Euler Angles, Bryant Angles and Euler Parameters
2015This chapter deals with the different approaches for describing the rotational coordinates in spatial multibody systems. In this process, Euler angles and Bryant angles are briefly characterized. Particular emphasis is given to Euler parameters, which are utilized to describe the rotational coordinates in the present work.
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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.
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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.
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2012
As frequently noted in the literature on robotics (Sugihara et al. 2002; Kurazume et al. 2003; Vukobratovic et al. 2007; Kwon and Park 2009) and mechanisms (Duffy 1978; Chaudhary and Saha 2007), a higher Degrees-of-Freedom (DOF) joint, say, a universal, a cylindrical or a spherical joint, can be represented using a combination of several intersecting 1-
Suril Vijaykumar Shah +2 more
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As frequently noted in the literature on robotics (Sugihara et al. 2002; Kurazume et al. 2003; Vukobratovic et al. 2007; Kwon and Park 2009) and mechanisms (Duffy 1978; Chaudhary and Saha 2007), a higher Degrees-of-Freedom (DOF) joint, say, a universal, a cylindrical or a spherical joint, can be represented using a combination of several intersecting 1-
Suril Vijaykumar Shah +2 more
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Error analysis of Euler angle transformations
Guidance and Control Conference, 1972Error analyses of Euler angle transformations arise in the design of precision pointing systems, guidance systems and other systems containing gimbals. The generalized problem, including nonorthogonality of nominally orthogonal coordinate axes as well as errors in the Euler angles, is treated.
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How to Draw Euler Angles and Utilize Euler Parameters
Volume 2: 30th Annual Mechanisms and Robotics Conference, Parts A and B, 2006This 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
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Euler's parallel oblique-angled diameters
The Mathematical Gazette, 2011In the paper [1], Euler was examining properties of the conic sections that could be shared by more general curves. Most of the paper is concerned with ‘oblique-angle diameters’, a concept that seems to have been familiar to his readers in the eighteenth century, but has been ignored today.
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