Effect of geometry in frequency response modeling of nanomechanical resonators

M. Nasr Esfahani; M. Yilmaz; M. R. Sonne; J. H. Hattel; B. Erdem Alaca

doi:10.1063/1.4951800

Effect of geometry in frequency response modeling of nanomechanical resonators

M. Nasr Esfahani, M. Yilmaz, M. R. Sonne, J. H. Hattel, B. Erdem Alaca

Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English
Title of host publication	International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Editors	Charalambos Tsitouras, Theodore E. Simos
Publisher	American Institute of Physics
Number of pages	4
ISBN (Electronic)	9780735413924
DOIs	https://doi.org/10.1063/1.4951800
Publication status	Published - 23 Jun 2016
Event	International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 - Rhodes, Greece Duration: 23 Sept 2015 → 29 Sept 2015

Publication series

Name	AIP Conference Proceedings
Volume	1738
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Country/Territory	Greece
City	Rhodes
Period	23/09/15 → 29/09/15

Bibliographical note

Publisher Copyright:
© 2016 Author(s).

Keywords

Finite Element Modeling
Frequency
Geometry
Nanomechanical Resonator

Access to Document

10.1063/1.4951800

Cite this

Esfahani, M. N., Yilmaz, M., Sonne, M. R., Hattel, J. H., & Alaca, B. E. (2016). Effect of geometry in frequency response modeling of nanomechanical resonators. In C. Tsitouras, & T. E. Simos (Eds.), International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 Article 030044 (AIP Conference Proceedings; Vol. 1738). American Institute of Physics. https://doi.org/10.1063/1.4951800

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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.",

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Esfahani, MN, Yilmaz, M, Sonne, MR, Hattel, JH & Alaca, BE 2016, Effect of geometry in frequency response modeling of nanomechanical resonators. in C Tsitouras & TE Simos (eds), International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015., 030044, AIP Conference Proceedings, vol. 1738, American Institute of Physics, International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, Rhodes, Greece, 23/09/15. https://doi.org/10.1063/1.4951800

Effect of geometry in frequency response modeling of nanomechanical resonators. / Esfahani, M. Nasr; Yilmaz, M.; Sonne, M. R. et al.
International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015. ed. / Charalambos Tsitouras; Theodore E. Simos. American Institute of Physics, 2016. 030044 (AIP Conference Proceedings; Vol. 1738).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Esfahani, M. Nasr

AU - Yilmaz, M.

AU - Sonne, M. R.

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AB - 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.

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Effect of geometry in frequency response modeling of nanomechanical resonators

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Bibliographical note

Keywords

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