Publication: Effect of geometry in frequency response modeling of nanomechanical resonators
Program
KU-Authors
KU Authors
Co-Authors
Esfahani, M. Nasr
Yilmaz, M.
Sonne, M. R.
Hattel, J. H.
Advisor
Publication Date
2016
Language
English
Type
Conference proceeding
Journal Title
Journal ISSN
Volume Title
Abstract
The trend towards nanomechanical resonator sensors with increasing sensitivity raises the need to address challenges encountered in the modeling of their mechanical behavior. Selecting the best approach in mechanical response modeling amongst the various potential computational solid mechanics methods is subject to controversy. A guideline for the selection of the appropriate approach for a specific set of geometry and mechanical properties is needed. In this study, geometrical limitations in frequency response modeling of flexural nanomechanical resonators are investigated. Deviation of Euler and Timoshenko beam theories from numerical techniques including finite element modeling and Surface Cauchy-Born technique are studied. The results provide a limit beyond which surface energy contribution dominates the mechanical behavior. Using the Surface Cauchy-Born technique as the reference, a maximum error on the order of 50 % is reported for high-aspect ratio resonators.
Description
Source:
Proceedings of The International Conference on Numerical Analysis and Applied Mathematics 2015 (ICNAAM-2015)
Publisher:
American Institute of Physics (AIP) Publishing
Keywords:
Subject
Mathematics, applied, Physics, applied