On modelling of electronic smart systems and junctions. Application to a piezoelectric plate as junction domain
Ghouti Senouci Bereksi, K.-H. Hoffmann · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2005
In this paper, we propose a new approach to the modelling of some linear active electronic networks and junctions. This approach is based on some results obtained by Chechkin, Jikov, Lukkassen, and Piatniski [12] 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 [9] and Lenczner and Senouci Bereksi [22]. As application, the non-linear model of piezoelectric plate, obtained by Hoffmann and Botkin [16,19], is used where the piezoelectric patches are chosen as junction domains.