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Title: Nonlinear size dependent analysis and effectiveness of nanocrystalline micro/nanogyroscopes

Abstract

Vibratory micro/nanogyroscopes made of nanocrystalline silicon have a complex microstructure consisting of grains, voids, and interface material phases. Given that the length scale of such inertial sensors is close to the size of the grains themselves, classical continuum mechanics theories are no longer adequate to accurately model the dynamic behaviors of these sensors. In this work, the couple stress and surface elasticity are incorporated to the governing equations of an electrically-actuated, amplitude-based, capacitive sensing cantilever gyroscope to obtain a comprehensive model of the nano-system. Then, the impact of the size dependent effects on the nonlinear dynamic behavior of the gyroscope is investigated by studying its performance for gyroscopes ranging in size from the micro-to the nano-scale. The present numerical study shows that the additional stiffness contributions from the couple stress and surface elasticity and changes in scale cause significant changes in the frequency response, nonlinear behaviors, and sensitivity of the gyroscope to the rotation rates. Furthermore, this numerical analysis demonstrates the importance of accounting for size dependent effects for micro/nanogyroscopes in order to avoid any deterioration of the effectiveness of the gyroscope operability.

Authors:
 [1];  [2]; ORCiD logo [3];  [1]
  1. New Mexico State Univ., Las Cruces, NM (United States). Dept. of Mechanical and Aerospace Engineering
  2. American University of Sharjah, Sharjah (United Arab Emirates). Dept. of Mechanical Engineering
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1573997
Alternate Identifier(s):
OSTI ID: 1694142
Report Number(s):
LA-UR-19-24196
Journal ID: ISSN 1386-9477; TRN: US2100010
Grant/Contract Number:  
89233218CNA000001; #20170103DR; EN0277-BBRI18
Resource Type:
Accepted Manuscript
Journal Name:
Physica E. Low-dimensional Systems and Nanostructures
Additional Journal Information:
Journal Volume: 117; Journal Issue: C; Journal ID: ISSN 1386-9477
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Larkin, Kevin, Ghommem, Mehdi, Hunter, Abigail, and Abdelkefi, Abdessattar. Nonlinear size dependent analysis and effectiveness of nanocrystalline micro/nanogyroscopes. United States: N. p., 2019. Web. doi:10.1016/j.physe.2019.113808.
Larkin, Kevin, Ghommem, Mehdi, Hunter, Abigail, & Abdelkefi, Abdessattar. Nonlinear size dependent analysis and effectiveness of nanocrystalline micro/nanogyroscopes. United States. doi:https://doi.org/10.1016/j.physe.2019.113808
Larkin, Kevin, Ghommem, Mehdi, Hunter, Abigail, and Abdelkefi, Abdessattar. Thu . "Nonlinear size dependent analysis and effectiveness of nanocrystalline micro/nanogyroscopes". United States. doi:https://doi.org/10.1016/j.physe.2019.113808. https://www.osti.gov/servlets/purl/1573997.
@article{osti_1573997,
title = {Nonlinear size dependent analysis and effectiveness of nanocrystalline micro/nanogyroscopes},
author = {Larkin, Kevin and Ghommem, Mehdi and Hunter, Abigail and Abdelkefi, Abdessattar},
abstractNote = {Vibratory micro/nanogyroscopes made of nanocrystalline silicon have a complex microstructure consisting of grains, voids, and interface material phases. Given that the length scale of such inertial sensors is close to the size of the grains themselves, classical continuum mechanics theories are no longer adequate to accurately model the dynamic behaviors of these sensors. In this work, the couple stress and surface elasticity are incorporated to the governing equations of an electrically-actuated, amplitude-based, capacitive sensing cantilever gyroscope to obtain a comprehensive model of the nano-system. Then, the impact of the size dependent effects on the nonlinear dynamic behavior of the gyroscope is investigated by studying its performance for gyroscopes ranging in size from the micro-to the nano-scale. The present numerical study shows that the additional stiffness contributions from the couple stress and surface elasticity and changes in scale cause significant changes in the frequency response, nonlinear behaviors, and sensitivity of the gyroscope to the rotation rates. Furthermore, this numerical analysis demonstrates the importance of accounting for size dependent effects for micro/nanogyroscopes in order to avoid any deterioration of the effectiveness of the gyroscope operability.},
doi = {10.1016/j.physe.2019.113808},
journal = {Physica E. Low-dimensional Systems and Nanostructures},
number = C,
volume = 117,
place = {United States},
year = {2019},
month = {10}
}

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