Mode veering and internal resonance in mechanically coupled nanocantilevers under electrostatic actuation

International audienceWe propose a multiphysics model to investigate the nonlinear dynamics of two coupled nanocantilevers under electrostatic actuation and 1:1 internal resonance (IR). We demonstrate that the region below the first pull-in instability is governed by the veering phenomenon between the modes. IR conditions are analyzed in the veering region and the modulation equations are derived and numerically solved. Remarkably, the first NEMS imposes its bifurcation topology to the second one and the energy transfer between the two oscillators can be controlled by the actuation voltages