Published April 1, 2003
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Journal Article
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Response of parametrically driven nonlinear coupled oscillators with application to micromechanical and nanomechanical resonator arrays
- Creators
-
Lifshitz, Ron
- Cross, M. C.
Abstract
The response of a coupled array of nonlinear oscillators to parametric excitation is calculated in the weak nonlinear limit using secular perturbation theory. Exact results for small arrays of oscillators are used to guide the analysis of the numerical integration of the model equations of motion for large arrays. The results provide a qualitative explanation for a recent experiment [Buks and Roukes, J. Microelectromech. Syst. 11, 802 (2002)] involving a parametrically excited micromechanical resonator array. Future experiments are suggested which could provide quantitative tests of the theoretical predictions.
Additional Information
©2003 The American Physical Society. Received 21 August 2002; published 10 April 2003. This work was supported by Grant No. 1999458 from the U.S.-Israel Binational Science Foundation (BSF), and NSF Grant No. DMR-9873573. We thank Eyal Buks, Michael Roukes, and Inna Kozinsky for many useful discussions and for sharing their experimental results prior to publication.Files
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Additional details
- Eprint ID
- 3885
- Resolver ID
- CaltechAUTHORS:LIFprb03
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2006-07-18Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field