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arXiv · 1008.2882

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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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. Experimentally observed complex nonlinear dynamics of the coupled modes are quantitatively captured by a model which couples the modes via the beam extension; the same mechanism is responsible for the well-known Duffing nonlinearity in clamped-clamped beams.

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H. J. R. Westra, M. Poot, H. S. J. van der Zant, W. J. Venstra. 2010-08-17. Nonlinear modal interactions in clamped-clamped mechanical resonators. https://doi.org/10.1103/physrevlett.105.117205

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