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Nonlinear Mode-Coupling in Nanomechanical Systems

Matheny, M. H. and Villanueva, L. G. and Karabalin, R. B. and Sader, John E. and Roukes, M. L. (2013) Nonlinear Mode-Coupling in Nanomechanical Systems. Nano Letters, 13 (4). pp. 1622-1626. ISSN 1530-6984. PMCID PMC3839314. https://resolver.caltech.edu/CaltechAUTHORS:20130520-112316098

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Abstract

Understanding and controlling nonlinear coupling between vibrational modes is critical for the development of advanced nanomechanical devices; it has important implications for applications ranging from quantitative sensing to fundamental research. However, achieving accurate experimental characterization of nonlinearities in nanomechanical systems (NEMS) is problematic. Currently employed detection and actuation schemes themselves tend to be highly nonlinear, and this unrelated nonlinear response has been inadvertently convolved into many previous measurements. In this Letter we describe an experimental protocol and a highly linear transduction scheme, specifically designed for NEMS, that enables accurate, in situ characterization of device nonlinearities. By comparing predictions from Euler–Bernoulli theory for the intra- and intermodal nonlinearities of a doubly clamped beam, we assess the validity of our approach and find excellent agreement.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1021/nl400070e DOIArticle
http://pubs.acs.org/doi/abs/10.1021/nl400070ePublisherArticle
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3839314PubMed CentralArticle
ORCID:
AuthorORCID
Matheny, M. H.0000-0002-3488-1083
Sader, John E.0000-0002-7096-0627
Roukes, M. L.0000-0002-2916-6026
Additional Information:© 2013 American Chemical Society. Received: January 7, 2013; Revised: March 4, 2013; Published: March 15, 2013. We would like to thank S. Hanay and M. Cross for useful suggestions and discussions. L.G.V. acknowledges financial support from the European Commission (PIOF-GA-2008-220682) and Prof. A. Boisen. J.E.S. acknowledges support from the Australian Research Council grants scheme.
Funders:
Funding AgencyGrant Number
Marie Curie FellowshipPIOF-GA-2008-220682
Australian Research CouncilUNSPECIFIED
Subject Keywords:Nanomechanical systems; nonlinear dynamics; coupled mode analysis; piezoelectric actuators; piezoresistive sensors; Euler-Bernoulli beam
Issue or Number:4
PubMed Central ID:PMC3839314
Record Number:CaltechAUTHORS:20130520-112316098
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130520-112316098
Official Citation:Nonlinear Mode-Coupling in Nanomechanical Systems M. H. Matheny, L. G. Villanueva, R. B. Karabalin, J. E. Sader, and M. L. Roukes Nano Letters201313 (4), 1622-1626
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38576
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 May 2013 17:04
Last Modified:25 Oct 2019 23:27

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