Nonlinear modal interactions in clamped-clamped mechanical resonators

Details Nonlinear modal interactions in clamped-clamped mechanical resonators Nonlinear modal interactions in clamped-clamped mechanical resonators

2010-08-17

arxiv.org/abs/1008.2882v1

Phys. Rev. Lett. 105, 117205 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.105.117205

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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