Journal ArticleDOI
Finite rotations and angular velocity
TLDR
In this article, the angular velocity vector is not the time derivative of the vector which represents a finite rotation, but the relationship between the two is derived explicitly, and the relationship is shown to be linear.Abstract:
The angular velocity vector is not the time derivative of the vector which represents a finite rotation. The relationship between the two is derived explicitly.read more
Citations
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Journal ArticleDOI
Transfer matrices for one-dimensional potentials
TL;DR: In this article, the Schrodinger wavefunction is represented by a trajectory on a unit hyperboloid; a periodic potential corresponds to a pseudorotation around a fixed axis; and a random potential gives a random walk on the hyperbolic surface.
Journal ArticleDOI
Analysis and Experimental Verification of a Three-Dimensional Noncontacting Angular Motion Sensor
Danny V. Lee,Steven A. Velinsky +1 more
TL;DR: In this paper, a three-dimensional noncontacting angular motion sensor based on magnetometry was developed for velocity feedback in the ball wheel mechanism, which serves as the drivetrain for a class of omnidirectional mobile platforms.
Journal ArticleDOI
A Simple Method for the Determination of Angular Velocity and Acceleration of a Spherical Motion Through Quaternions
TL;DR: In this article, the angular velocity and angular acceleration of a rigid body with respect to another body acting as a reference frame are determined using a quaternion representation of the motion of the rigid body.
Journal ArticleDOI
Bernoulli Numbers and Rotational Kinematics
TL;DR: The representation of rotation operators in the form of infinite tensor power series, R = exp(Ψ), has been found to be a valuable tool in multibody dynamics and nonlinear finite element analysis as mentioned in this paper.
Dissertation
Finite-element analysis of flexible mechanisms using the master-slave approach with emphasis on the modelling of joints
Munoz Romero,Jose Javier. +1 more
TL;DR: The present work provides the necessary tools for the dynamic modelling of flexible mechanisms using the master-slave approach, a technique that retains the minimum set of degrees of freedom within the equations of motion and has the additional and important advantage of not including any constraint equations.