Methods in the mathematical modelling of electrical networks and junctions Application to piezoelectric transducers as junction domains

摘要

In this paper, we propose a new approach to the modelling 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.