二層圧電複合円板における熱応力の制御

概要

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This paper deals with a stress control problem of a composite disk consisting of a transversely isotropic structural layer onto which a piezoelectric layer of crystal class 6mm is perfectly bonded. A number of electrodes are arranged concentrically on the top surface of the piezoelectric layer. When a heating temperature distribution acts on the bottom surface of the composite disk, the maximum thermal stress in the structural layer can be controlled by applying an appropriate electric potential to each electrode. The applied electric potentials are determined by using the quasi-Newton method based on the BFGS updating formula in the case where stress constraints are imposed on the piezoelectric layer. The exterior penalty function method is employed in order that the optimization problem with stress constraints is transformed to that without stress constraints. Numerical calculations have been carried out for a composite disk which consists of a CFRP layer and a cadmium selenide layer. Finally, numerical results are shown in tables and figures.
2007-10-25