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Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator

Lulla, K.J.; Cousins, R.B.; Venkatesan, A.; Patton, M.J.; Armour, A.D.; Mellor, Christopher J.; Owers-Bradley, J.R.

Authors

K.J. Lulla

R.B. Cousins

A. Venkatesan

M.J. Patton

A.D. Armour

Christopher J. Mellor

J.R. Owers-Bradley

Abstract

We present results from a study of the nonlinear inter-modal coupling between different flexural vibrational modes of a single high-stress, doubly-clamped silicon nitride nanomechanical beam. Using the magnetomotive technique and working at 100 mK we explored the nonlinear behaviour and modal couplings of the first, third and fifth modes of a 25.5 μm long beam. We find very good agreement between our results and a simple analytical model which assumes that the different modes of the resonator are coupled to each other by displacement induced tension in the beam. The small size of our resonator leads to relatively strong nonlinear couplings, for example we find a shift of about 7 Hz in the third mode for a 1 nm displacement in the first mode and frequency shifts ~ 20 times larger than the linewidth (130 Hz) are readily observed.

Journal Article Type Article
Publication Date Nov 28, 2012
Journal New Journal of Physics
Electronic ISSN 1367-2630
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 14
Article Number 113040
Institution Citation Lulla, K., Cousins, R., Venkatesan, A., Patton, M., Armour, A., Mellor, C. J., & Owers-Bradley, J. (2012). Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator. New Journal of Physics, 14, doi:10.1088/1367-2630/14/11/113040
DOI https://doi.org/10.1088/1367-2630/14/11/113040
Publisher URL http://iopscience.iop.org/1367-2630/14/11/113040
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nd-sa/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nd-sa/4.0




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