Jump and Pull-in Instability of a MEMS Gyroscope Vibrating System

Jump and pull-in instability are common nonlinear dynamic behaviors leading to the loss of performance reliability structural safety electrostatic micro gyroscopes. To achieve a better understanding these initial-sensitive phenomena, dynamics gyroscope system considering nonlinearities stiffness forces explored from global perspective. Static analyses performed estimate threshold detecting voltage for static pull-in, responses analyzed in driving modes case primary resonance 1:1 internal resonance. The results show that, when frequency is bit higher than natural frequency, high amplitude AC may induce coexistence bistable periodic due saddle-node bifurcation solution. Basins attraction attractors provide evidence that disturbance initial conditions can trigger jump between attractors. Moreover, Melnikov method applied discuss condition instability, which be ascribed heteroclinic bifurcation. validity prediction verified using sequences safe basins unsafe zones pull-in. It follows caused aggravated by increase voltage.