Theory and error analysis of vibratingmember gyroscope
Abstract
A general method for investigating the errors in a vibratingmember gyroscope has been developed by first transforming the equations of motion from Cartesian coordinates to orbital elements and then transforming the resulting equations to linear, constantcoefficient equations in energy and angular momentum, after averaging over a cycle to more clearly exhibit the long term effects. The constantcoefficient system is solved in closed form for the individual effects of anisoelasticity and damping. The effect of nonlinear restoring forces is also studied. While these analyses cover the effects of principal sources of error, the method and general equations can also be used to study the effects of other errors.
 Publication:

IEEE Transactions on Automatic Control
 Pub Date:
 August 1978
 Bibcode:
 1978ITAC...23..545F
 Keywords:

 Error Analysis;
 Gyroscopes;
 Cartesian Coordinates;
 Differential Equations;
 Equations Of Motion;
 Linear Equations;
 Orbital Elements;
 Vibration Damping;
 Instrumentation and Photography