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

Ghouti Senouci Bereksi; Fethi Abi-Ayad

doi:10.1117/12.473340

14 November 2002 Methods in the mathematical modelling of electrical networks and junctions: application to piezoelectric transducers as junction domains

Ghouti Senouci Bereksi, Fethi Abi-Ayad

Author Affiliations +

Proceedings Volume 4935, Smart Structures, Devices, and Systems; (2002) https://doi.org/10.1117/12.473340
Event: SPIE's International Symposium on Smart Materials, Nano-, and Micro- Smart Systems, 2002, Melbourne, Australia

Abstract

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.

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Ghouti Senouci Bereksi and Fethi Abi-Ayad "Methods in the mathematical modelling of electrical networks and junctions: application to piezoelectric transducers as junction domains", Proc. SPIE 4935, Smart Structures, Devices, and Systems, (14 November 2002); https://doi.org/10.1117/12.473340

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