Nonlinear modal interactions in clamped-clamped mechanical resonators

H. J.R. Westra, M. Poot, H. S.J. Van Der Zant, W. J. Venstra

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183 Scopus citations

Abstract

A theoretical and experimental investigation is presented on the intermodal coupling between the flexural vibration modes of a single clamped-clamped beam. Nonlinear coupling allows an arbitrary flexural mode to be used as a self-detector for the amplitude of another mode, presenting a method to measure the energy stored in a specific resonance mode. The observed complex nonlinear dynamics are quantitatively captured by a model based on coupling of the modes via the beam extension; the same mechanism is responsible for the well-known Duffing nonlinearity in clamped-clamped beams.

Original languageEnglish
Article number117205
JournalPhysical Review Letters
Volume105
Issue number11
DOIs
StatePublished - 10 Sep 2010
Externally publishedYes

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