Bimodal parametric excitation of a micro‐ring gyroscope

Parametric excitation in vibratory systems is known well over hundred years. Recently it also being exploited Micro-electromechanical Systems (MEMS). One example of these are micro-ring gyroscopes, which used the automotive, navigation and space industries. The sensitivity such gyroscopes can be impaired by signal noise induced through parasitic capacitance between drive sense electrodes. Applying parametric exploiting amplification recently was shown to open new promising paths. On theoretical side vibrations, found that simultaneous excitations two coordinates or more with phase difference lead very interesting phenomena. gyroscope a good making use solve some problems modern MEMS. This work aims at modelling lagged excitations. equations motion derived using Hamilton's principle, both for an inextensible as extensible ring, fully symmetric cases eigenvalue problem solved analytically. completely problem, leads eigenfunctions any given eigenfrequency, except fundamental ones. axial symmetry general destroyed way vibrating ring elastically supported discrete elastic supports. Instead truly double eigenfrequencies, then has pairs closely spaced eigenfrequencies. In simplest case, described generalized coordinates. Making direct each modes, excitation, makes possible exploit resonance amplification. been applied before gyroscope, however not case lag Taking into account this additional parameter, opens several ways sensing angular velocity moving base gyroscope.