Optimization of electromechanical control of beam dynamics: Analytical method and finite differences simulation

This paper deals with the optimization of the electromechanical control of beams dynamics. Using the mode expansion formalism, an analytical investigation is carried out to find adequate electrical parameters to reduce the vibration amplitude, to control the snap through instability and horseshoe chaos. The analytical investigation is validated and complemented by the numerical simulation of the modal equations as well as by the direct numerical simulation of the beam nonlinear partial differential equation under control.