Nanomechanical resonators show higher order nonlin
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Posted On: 03/10/2017 7:59:49 PM
Nanomechanical resonators show higher order nonlinearity at room temperature
Madhav Kumar, Bhaskar Choubey, Harish Bhaskaran
(Submitted on 9 Mar 2017)
Most mechanical resonators are treated as simple linear oscillators. Nonlinearity in the resonance behavior of nanoelectromechanical systems (NEMS) has only lately attracted significant interest. Most recently, cubic-order nonlinearity has been used to explain anomalies in the resonance frequency behaviors in the frequency domain. Particularly, such nonlinearities were explained using cubic (van der Pol nonlinearity). Understanding the limits of linear resonant nonlinearity in the restoring force (Duffing nonlinearity) or damping behavior is particularly important in NEMS, as they are frequently studied for their potential in ultrasensitive sensing and detection, applications that most commonly assume a linear behavior to transduce motion into a detected signal. In this paper, we report that even at low excitation, cubic nonlinearity is insufficient to explain nonlinearity in graphene NEMS. Rather, we observe that higher order, in particular, the fifth order effects need to be considered even for systems at room temperature with modest quality factors . These are particularly important results that could determine the limits of linear detection in such systems and quite possibly present unconventional avenues for ultrasensitive detection paradigms using nonlinear dynamics. Such intriguing possibilities, however, hinge crucially on a superior understanding and exploitation of these inherent nonlinearities as opposed to modeling them as approximated linear or cubic systems.
https://arxiv.org/abs/1703.03094
Radiohead - Present Tense: Jonny, Thom & a CR78
https://www.youtube.com/watch?v=6hgVihWjK2c
Madhav Kumar, Bhaskar Choubey, Harish Bhaskaran
(Submitted on 9 Mar 2017)
Most mechanical resonators are treated as simple linear oscillators. Nonlinearity in the resonance behavior of nanoelectromechanical systems (NEMS) has only lately attracted significant interest. Most recently, cubic-order nonlinearity has been used to explain anomalies in the resonance frequency behaviors in the frequency domain. Particularly, such nonlinearities were explained using cubic (van der Pol nonlinearity). Understanding the limits of linear resonant nonlinearity in the restoring force (Duffing nonlinearity) or damping behavior is particularly important in NEMS, as they are frequently studied for their potential in ultrasensitive sensing and detection, applications that most commonly assume a linear behavior to transduce motion into a detected signal. In this paper, we report that even at low excitation, cubic nonlinearity is insufficient to explain nonlinearity in graphene NEMS. Rather, we observe that higher order, in particular, the fifth order effects need to be considered even for systems at room temperature with modest quality factors . These are particularly important results that could determine the limits of linear detection in such systems and quite possibly present unconventional avenues for ultrasensitive detection paradigms using nonlinear dynamics. Such intriguing possibilities, however, hinge crucially on a superior understanding and exploitation of these inherent nonlinearities as opposed to modeling them as approximated linear or cubic systems.
https://arxiv.org/abs/1703.03094
Radiohead - Present Tense: Jonny, Thom & a CR78
https://www.youtube.com/watch?v=6hgVihWjK2c
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