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.
@article{arxiv.1008.2882,
title = {Nonlinear modal interactions in clamped-clamped mechanical resonators},
author = {H. J. R. Westra and M. Poot and H. S. J. van der Zant and W. J. Venstra},
journal= {arXiv preprint arXiv:1008.2882},
year = {2010}
}