Modeling and numerical study of actuator and sensor effects for a laminated piezoelectric plate

Authors:
L. Costa;I. Figueiredo;R. Leal;P. Oliveira;G. Stadler
Affiliations:
Departamento de Produção e Sistemas, Escola de Engenharia, Universidade do Minho, Campus de Azurém, 4800-058 Guimarães, Portugal;Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade de Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal;Departamento de Engenharia Mecínica, Universidade de Coimbra, Pinhal de Marrocos, 3001-201 Coimbra, Portugal;Departamento de Produção e Sistemas, Escola de Engenharia, Universidade do Minho, Campus de Azurém, 4800-058 Guimarães, Portugal;Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade de Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal
Venue:
Computers and Structures
Year:
2007

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Abstract

The aim of this paper is to derive a reduced model for a piezoelectric plate and to study its actuator and sensor capabilities. In the first part, we focus on the asymptotic modeling for thin plates formed by stacking layers of different piezoelectric materials. In the asymptotic model, the mechanical and electric unknowns are shown to be partly decoupled. In the second part, we study the actuator and sensor capabilities of this model. We use two discrete non-differentiable multi-objective optimization problems, which are solved by genetic algorithms. Several numerical results are reported.