title: Nonlinear modal interactions in clamped-clamped mechanical resonators.
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.
authors.affiliation: Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628CJ Delft, The Netherlands. h.j.r.westra@tudelft.nl
authors.forename: H J R
authors.initials: HJ
authors.lastname: Westra
authors.forename: M
authors.initials: M
authors.lastname: Poot
authors.forename: H S J
authors.initials: HS
authors.lastname: van der Zant
authors.forename: W J
authors.initials: WJ
authors.lastname: Venstra