Excitation of multiple 2-mode parametric resonances by a single driven mode. (18th September 2017)

• Record Type: Journal Article
• Authors: Ganesan, Adarsh; Do, Cuong; Seshia, Ashwin
• Is Part Of: Europhysics letters. Volume 119:Number 1(2017:Jul.)
• Publication Date: 2017-09-18
• Subjects: 05.45.-a -- 85.85.+j -- 62.25.Jk; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/119/10002
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: We demonstrate autoparametric excitation of two distinct sub-harmonic mechanical modes by the same driven mechanical mode corresponding to different drive frequencies within its resonance dispersion band. This experimental observation is used to motivate a more general physical picture wherein multiple mechanical modes could be excited by the same driven primary mode within the same device as long as the frequency spacing between the sub-harmonic modes is less than half the dispersion bandwidth of the driven primary mode. The excitation of both modes is seen to be threshold-dependent and a parametric back-action is observed impacting on the response of the driven primary mode. Motivated by this experimental observation, modified dynamical equations specifying 2-mode auto-parametric excitation for such systems are presented.