Methods in the mathematical modelling of electrical networks and junctions: application to piezoelectric transducers as junction domains
Ghouti Senouci Bereksi, Fethi Abi-Ayad · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2002
In this paper, we propose a new approach to the modeling of specific electronic networks and junctions. This approach is based on some results obtained by Chechkin, Jikov, Lukkassen and Piatniski (C4) in the theory of periodic wire networks and junctions, which are based on singular measures on these structures. Using this approach, we generalize some results obtained by Canon and Lenczner (C2) and Lenczner (L2) concerning electronic circuits models. As application, the model of piezoelectric thin plate, obtained by Hoffmann and Botkin (H1, H4) is used, where the piezoelectric patches are chosen as junction domains.