Optimum Design of Electrode Arrangements in a Multilayer Piezo-Composite Disk for Control of Thermal Stress

Abstract

This paper deals with a control problem of a thermal stress in a composite circular disk consisting of a structural layer onto which multiple piezoceramic layers with concentrically arranged electrodes are bonded. When a heating temperature distribution acts on the bottom surface of the structural layer, the maximum thermal stress in the structural layer is minimized by applying appropriate voltages to the electrodes. The stepwise voltage applied to each electrode is obtained by solving a linear programming problem when constrains are imposed on stresses in the piezoceramic layers. In order to decrease design variables such as the layer thicknesses and the number and dimensions of electrodes, an efficient method for the optimum design is developed. The structure of the composite disk as well as the electrode arrangement on each piezoceramic layer has been optimally designed so that performance of the stress control is maximized. Finally, it is seen from numerical results that the maximum thermal stress in the structure layer is reduced by 38.3% which is 4.6% higher than that obtained in the previous paper.

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