Application of Dual Quaternions to the Study of Gyrodynamics

[+] Author and Article Information
A. T. Yang

University of California, Davis, Calif.

J. Eng. Ind 89(1), 137-143 (Feb 01, 1967) (7 pages) doi:10.1115/1.3609985 History: Received May 25, 1966; Online August 25, 2011


Dual quaternions are used to derive equations of motion for an offset unsymmetrical gyroscope. From the equations, in view of the general characteristics of this six-degree-of-freedom system, dynamic equations for a variety of gyroscopic and pendulous systems may be deduced as special cases. Examples are given for illustration.

Copyright © 1967 by ASME
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