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arXiv · 1704.00907

Excitation of multiple 2-mode parametric resonances by a single driven mode

Adarsh Ganesan·Cuong Do·Ashwin Seshia
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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.

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Adarsh Ganesan, Cuong Do, Ashwin Seshia. 2017-04-04. Excitation of multiple 2-mode parametric resonances by a single driven mode. https://doi.org/10.1209/0295-5075/119/10002

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