Design of a passive electrical analogue for piezoelectric damping of a plate. (April 2018)

• Record Type: Journal Article
• Authors: Lossouarn, Boris; Aucejo, Mathieu; Deü, Jean-François; Cunefare, Kenneth A
• Is Part Of: Journal of intelligent material systems and structures. Volume 29:Number 7(2018)
• Page Start: 1301
• Page End: 1314
• Publication Date: 2018-04
• Subjects: Electrical analogue -- Kirchhoff–Love plate -- finite difference method -- multi-resonant network -- modal analysis -- design of magnetic components; Smart materials -- Periodicals; Intelligent control systems -- Periodicals; Artificial intelligence -- Periodicals; Matériaux intelligents -- Périodiques; Commande intelligente -- Périodiques; Intelligence artificielle -- Périodiques; 620.11
• DOI: 10.1177/1045389X17731232
• Languages: English
• ISSNs: 1045-389X

Abstract

Vibrations of a mechanical structure can be reduced through a piezoelectric coupling to a passive electrical network exhibiting similar modal properties. For the control of a plate, the design of a two-dimensional analogous electrical network is considered. Depending on the mechanical boundary conditions, a finite difference formulation of the Kirchhoff–Love equation of motion shows that we need to ensure specific electrical connections along the edges of the analogous network. A numerical model involving an assembly of element matrices validates the electrical topology. Then, the passive electrical circuit is implemented with capacitors, inductors, and transformers, whose practical design is closely described. Focusing on the analogue of a clamped plate, experiments prove the ability of the proposed electrical network to approximate the behavior of the mechanical structure.