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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator. / Lulla, K. J.; Cousins, R. B. ; Venkatesan, A. et al.
In: New Journal of Physics, Vol. 14, 113040, 28.11.2012.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Lulla, KJ, Cousins, RB, Venkatesan, A, Patton, MJ, Armour, AD, Mellor, CJ & Owers-Bradley, JR 2012, 'Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator', New Journal of Physics, vol. 14, 113040. https://doi.org/10.1088/1367-2630/14/11/113040

APA

Lulla, K. J., Cousins, R. B., Venkatesan, A., Patton, M. J., Armour, A. D., Mellor, C. J., & Owers-Bradley, J. R. (2012). Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator. New Journal of Physics, 14, Article 113040. https://doi.org/10.1088/1367-2630/14/11/113040

Vancouver

Lulla KJ, Cousins RB, Venkatesan A, Patton MJ, Armour AD, Mellor CJ et al. Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator. New Journal of Physics. 2012 Nov 28;14:113040. doi: 10.1088/1367-2630/14/11/113040

Author

Lulla, K. J. ; Cousins, R. B. ; Venkatesan, A. et al. / Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator. In: New Journal of Physics. 2012 ; Vol. 14.

Bibtex

@article{e811794f29ee481d860eb827797189ea,
title = "Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator",
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.",
author = "Lulla, {K. J.} and Cousins, {R. B.} and A. Venkatesan and Patton, {M. J.} and Armour, {A. D.} and Mellor, {C. J.} and Owers-Bradley, {J. R.}",
year = "2012",
month = nov,
day = "28",
doi = "10.1088/1367-2630/14/11/113040",
language = "English",
volume = "14",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing Ltd",

}

RIS

TY - JOUR

T1 - Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator

AU - Lulla, K. J.

AU - Cousins, R. B.

AU - Venkatesan, A.

AU - Patton, M. J.

AU - Armour, A. D.

AU - Mellor, C. J.

AU - Owers-Bradley, J. R.

PY - 2012/11/28

Y1 - 2012/11/28

N2 - 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.

AB - 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.

U2 - 10.1088/1367-2630/14/11/113040

DO - 10.1088/1367-2630/14/11/113040

M3 - Journal article

VL - 14

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 113040

ER -