The hysteresis phenomenon and Q factor enhancement in nonlinear NEMS resonators driven by Lévy stable stochastic processes

Mdraf E. Ui Shougat, Subramanian Ramakrishnan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Nonlinear damping has been experimentally observed in nanoelectromechanical (NEMS) resonators and proposed as a path to enhanced quality (Q) factors. Furthermore, considering a nonlinearly damped Duffing NEMS resonator, it has been shown that white noise excitation (Brownian motion) can shrink the hysteresis region in the frequency-amplitude plot of the resonator response leading to higher Q factors. In this paper the authors: (1) derive an analytical expression using the method of harmonic balance for the frequency-amplitude relationship of a nonlinearly damped Duffing NEMS resonator and numerically validate the analytical result, (2) show that additive white Gaussian noise of increasing noise intensity, when superimposed on deterministic excitation can eliminate the hysteresis peaks implying higher Q factors and, (3) show that the aforementioned effects are much more pronounced in a resonator driven by Lévy flight excitation in contrast to Brownian excitation-the hysteresis peaks get eliminated at much lower levels of noise intensity with Lévy flight excitation. Lévy flights are non-Brownian stochastic processes characterized by occasional large departures from the mean. The results, in addition to providing insights into Q factor enhancement using Lévy flights, indicate the importance of non-Brownian noise processes in NEMS dynamics.

Original languageEnglish (US)
Title of host publication2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781538610169
DOIs
StatePublished - Jan 8 2019
Event13th IEEE Nanotechnology Materials and Devices Conference, NMDC 2018 - Portland, United States
Duration: Oct 14 2018Oct 17 2018

Publication series

Name2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018

Conference

Conference13th IEEE Nanotechnology Materials and Devices Conference, NMDC 2018
CountryUnited States
CityPortland
Period10/14/1810/17/18

Fingerprint

NEMS
stochastic processes
Random processes
Hysteresis
Q factors
Resonators
resonators
hysteresis
augmentation
flight
excitation
noise intensity
Brownian movement
White noise
random noise
white noise
Damping
plots
damping
harmonics

Keywords

  • Lévy flights
  • NEMS
  • nonlinear damping

Cite this

Ui Shougat, M. E., & Ramakrishnan, S. (2019). The hysteresis phenomenon and Q factor enhancement in nonlinear NEMS resonators driven by Lévy stable stochastic processes. In 2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018 [8605893] (2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/NMDC.2018.8605893

The hysteresis phenomenon and Q factor enhancement in nonlinear NEMS resonators driven by Lévy stable stochastic processes. / Ui Shougat, Mdraf E.; Ramakrishnan, Subramanian.

2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. 8605893 (2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ui Shougat, ME & Ramakrishnan, S 2019, The hysteresis phenomenon and Q factor enhancement in nonlinear NEMS resonators driven by Lévy stable stochastic processes. in 2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018., 8605893, 2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018, Institute of Electrical and Electronics Engineers Inc., 13th IEEE Nanotechnology Materials and Devices Conference, NMDC 2018, Portland, United States, 10/14/18. https://doi.org/10.1109/NMDC.2018.8605893
Ui Shougat ME, Ramakrishnan S. The hysteresis phenomenon and Q factor enhancement in nonlinear NEMS resonators driven by Lévy stable stochastic processes. In 2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018. Institute of Electrical and Electronics Engineers Inc. 2019. 8605893. (2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018). https://doi.org/10.1109/NMDC.2018.8605893
Ui Shougat, Mdraf E. ; Ramakrishnan, Subramanian. / The hysteresis phenomenon and Q factor enhancement in nonlinear NEMS resonators driven by Lévy stable stochastic processes. 2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. (2018 IEEE 13th Nanotechnology Materials and Devices Conference, NMDC 2018).
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