Primary resonance of a beam-rigid body microgyroscope. (December 2015)

• Record Type: Journal Article
• Authors: Lajimi, S.A.M.; Heppler, G.R.; Abdel-Rahman, E.M.
• Is Part Of: International journal of non-linear mechanics. Volume 77(2015)
• Page Start: 364
• Page End: 375
• Publication Date: 2015-12
• Subjects: Gyroscope -- Method of multiple scales -- Shooting method -- Non-linear dynamics -- Frequency-modulation -- Entrainment; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2015.07.002
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: We present the non-linear dynamical features of a beam-rigid-body microgyroscope operating under the electrostatic force. A comprehensive system of discretized governing equations is solved using the method of multiple scales and the shooting method. For an amplitude-modulation gyro, the effects of the quality factor, AC voltage, and the rotation rate on the response are investigated and the fold-bifurcation points are identified. A frequency-modulation gyro is examined and in addition to the bifurcation points, the entrainment region is identified. The effects of a positive and a negative internal detuning parameter on the frequency-response of a frequency-modulation gyro are investigated.