Actuator Effect of a Piezoelectric Anisotropic Plate Model
Titel:
Actuator Effect of a Piezoelectric Anisotropic Plate Model
Auteur:
Costa, Lino Oliveira, Pedro Figueiredo, Isabel N. Leal, Rogerio
Verschenen in:
Mechanics of advanced materials & structures
Paginering:
Jaargang 13 (2006) nr. 5 pagina's 403-417
Jaar:
2006-08-01
Inhoud:
This paper addresses the actuator effect of a piezoelectric anisotropic plate model, depending on the location of the applied electric potentials, and for different clamped boundary conditions. It corresponds to integer optimization problems, whose objective functions involve the displacement of the plate. We adopt the two-dimensional piezoelectric anisotropic nonhomogeneous plate model derived in Figueiredo and Leal [1]. This model is first discretized by the finite element method. Then, we describe the associated integer optimization problems, which aim to find the maximum mechanical displacement of the plate, as a function of the location of the applied electric potentials. In this sense, we also introduce a related multi-objective optimization problem, which is solved with genetic algorithms. Several numerical examples are reported. For all the tests, the stiffness matrices and force vectors have been evaluated with the subroutines planre and platre, of the CALFEM toolbox of MATLAB [2], and the genetic algorithms have been implemented in C++.