Electromechanical control of vibration on a plate submitted to a non-ideal excitation

• Electromechanical device composed by RL circuit is used to control of vibration of a plate.
• Non-ideal source is used as external excitation above the structure on a particular surface.
• The Routh–Hurwitz criterion is used for the stability of the controlled system.
• The effectiveness of the control characterized by the reduction of the amplitudes of vibration of the mechanical structure.
• The generation of energy using vibration control is explored.

This paper deals with the enhancement of electromechanical control of vibration on a thin plate submitted to non-ideal excitation. Modelling of the systems displays the non-ideal source used as external excitation above the structure on a particular surface and control force acting at specific points under the structure. The electromechanical device is composed by a RL circuit with a saturated inductance and stings connected to the plate is used as connection between the structure and the controller. Routh–Hurwitz criteria are used to obtain the stability condition of the controlled system and some dynamics exploration leads us to the condition for which the amplitude of vibration is reduced in the mechanical structure.