Influence of Model Nonlinearities on the Dynamics of Ring-Type Gyroscopes

This paper investigates the nonlinear dynamic response of a rotating ring that forms an essential element in macro ring-based vibratory gyroscopes that utilize oscillatory nonlinear electromagnetic forces. The derivation of the nonlinear equations that represent the motion of a macro ring gyroscope with nonlinear electromagnetic forces is performed. Understanding the effects of model nonlinearities is considered important for characterizing the dynamic behavior of such devices. Dynamic response analysis in the driving and the sensing directions are investigated via time responses, phase diagram, and Poincare’s map when the angular input rate and the nonlinear electromagnetic forces act together.