3656 ステップ状印加電位分布による圧電複合円板の熱応力の制御 : 電極寸法の最適設計(S24-5 最適設計・非線形問題,S24 数理・数値解析による先端材料評価)

概要

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This paper discusses a stress control problem in a layered composite disk consisting of a transversely isotropic structural layer onto which a number of piezoelectric layers of crystal class 6mm are perfectly bonded. It is considered that some electrodes are arranged concentrically on the upper surface of each piezoelectric layer. When an axisymmetric heating temperature acts on the bottom free surface, the maximum thermal stress induced in the structural layer is controlled by applying an appropriate voltage to each electrode. The voltages applied to electrodes are determined by optimization using the BFGS quasi-Newton method so that the maximum thermal stress in the structural layer is minimized subject to constraints on the stresses in the piezoelectric layers. Finally, numerical results obtained for a composite disk consisting of a transversely isotropic CFRP layer and a number of cadmium selenide layers of crystal class 6mm are shown in tables.
2006-09-15