Volume 119, Number 1, July 2017
|Number of page(s)||4|
|Published online||18 September 2017|
Excitation of multiple 2-mode parametric resonances by a single driven mode
Nanoscience Centre, Department of Engineering - University of Cambridge, Cambridge, UK
Received: 29 May 2017
Accepted: 25 August 2017
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.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 85.85.+j – Micro- and nano-electromechanical systems (MEMS/NEMS) and devices / 62.25.Jk – Mechanical modes of vibration
© EPLA, 2017
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