Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator
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 coupli...
| Main Authors: | , , , , , , |
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| Format: | Article |
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IOP Publishing
2012
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| Online Access: | https://eprints.nottingham.ac.uk/2357/ |
| _version_ | 1848790763669815296 |
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| author | Lulla, K.J. Cousins, R.B. Venkatesan, A. Patton, M.J. Armour, A.D. Mellor, Christopher J. Owers-Bradley, J.R. |
| author_facet | Lulla, K.J. Cousins, R.B. Venkatesan, A. Patton, M.J. Armour, A.D. Mellor, Christopher J. Owers-Bradley, J.R. |
| author_sort | Lulla, K.J. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:17:47Z |
| format | Article |
| id | nottingham-2357 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:17:47Z |
| publishDate | 2012 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-23572020-05-04T16:34:40Z https://eprints.nottingham.ac.uk/2357/ 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. 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. IOP Publishing 2012-11-28 Article PeerReviewed Lulla, K.J., Cousins, R.B., Venkatesan, A., Patton, M.J., Armour, A.D., Mellor, Christopher J. and Owers-Bradley, J.R. (2012) Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator. New Journal of Physics, 14 . 113040/1-113040/14. ISSN 1367-2630 http://iopscience.iop.org/1367-2630/14/11/113040 doi:10.1088/1367-2630/14/11/113040 doi:10.1088/1367-2630/14/11/113040 |
| spellingShingle | Lulla, K.J. Cousins, R.B. Venkatesan, A. Patton, M.J. Armour, A.D. Mellor, Christopher J. Owers-Bradley, J.R. Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator |
| title | Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator |
| title_full | Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator |
| title_fullStr | Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator |
| title_full_unstemmed | Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator |
| title_short | Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator |
| title_sort | nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator |
| url | https://eprints.nottingham.ac.uk/2357/ https://eprints.nottingham.ac.uk/2357/ https://eprints.nottingham.ac.uk/2357/ |