Analysis of an Offset Unsymmetric Gyroscope With Oblique Rotor Using (3×3) Matrices With Dual-Number Elements

[+] Author and Article Information
An Tzu Yang

Mechanical Engineering Department, University of California, Davis, Calif.

J. Eng. Ind 91(3), 535-541 (Aug 01, 1969) (7 pages) doi:10.1115/1.3591622 History: Received May 28, 1968


Using 3 × 3 matrices of dual-number elements, dynamic equations are obtained for an offset unsymmetric gyroscope with obliquely placed rotor, a generalized six-degree-of-freedom gyroscopic system (shown schematically in Fig. 3). Equations of motion for a special case of the system, a two-frame symmetric gyroscope, conventional in all aspects except the rotor is inclined relative to its spin axis, are deduced; these equations are applied to the study of the effects of a slightly inclined rotor on (a) a two-frame symmetric gyroscope in steady precession and (b) a Faucualt’s gyrocompass.

Copyright © 1969 by ASME
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