Modeling of hybrid vibration control for multilayer structures using solid–shell finite elements

Fessal Kpeky (1, 2) , Farid Abed-Meraim (1, 2) , El Mostafa Daya (1, 2) , Ouro-Djobo Samah (3)

1 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux
2 Labex DAMAS
3 Université de Lomé [Togo]

A self-control method of vibrations is presented in this paper. This method combines the passive damping capabilities afforded by viscoelastic materials with the active control properties associated with piezoelectric materials. Active control is introduced, using the piezoelectric properties, in order to improve the reduction in vibration amplitudes that can be obtained by viscoelastic passive damping alone. To this end, a filter has been mounted between the sensors and actuators. The resulting nonlinear problem is discretized using the recently developed solid–shell finite element SHB20E, due to the advantages it offers in terms of accuracy and efficiency, as compared to standard finite elements with the same geometry and kinematics. In order to solve the discretized problem, a resolution method using DIAMANT approach is developed. A set of selective and representative numerical tests are performed on multilayer plates to demonstrate the interest of the proposed damping model.

Mots clés: Vibration analysis; Active-passive control; Finite elements; Solid–shell; Piezoelectric effect; Multilayer structures

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Sciences de l'ingénieur [physics]; Modélisation et simulation; Mécanique [physics]; Vibrations [physics.class-ph]

Fessal Kpeky, Farid Abed-Meraim, El Mostafa Daya, Ouro-Djobo Samah. Modeling of hybrid vibration control for multilayer structures using solid–shell finite elements. Mechanics of Advanced Materials and Structures, 2018, 25 (12), pp.1033-1046. ⟨10.1080/15376494.2017.1365987⟩. ⟨hal-02389896⟩