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Research Papers

Structure Design of a Piezoelectric Composite Disk for Control of Thermal Stress

[+] Author and Article Information
Fumihiro Ashida

Department of Electronic and Control Systems Engineering, Shimane University, 1060 Nishikawatsu-cho, Matsue-shi, Shimane 690-8504, Japanashida@ecs.shimane-u.ac.jp

Sei-ichiro Sakata

Department of Electronic and Control Systems Engineering, Shimane University, 1060 Nishikawatsu-cho, Matsue-shi, Shimane 690-8504, Japansakata@ecs.shimane-u.ac.jp

Kouhei Matsumoto

Vehicle Engineering Department, Mazda Engineering and Technology Co., Ltd., 2-1-26 Niho, Minami-ku, Hiroshima-shi, Hiroshima 734-0026, Japanmatsumoto.koh@mspr.co.jp

J. Appl. Mech 75(6), 061009 (Aug 20, 2008) (8 pages) doi:10.1115/1.2965369 History: Received November 12, 2007; Revised March 14, 2008; Published August 20, 2008

In order to realize a plan for a hypersonic aircraft, development of a smart heat-resisting plate possible to control a thermal stress has been required because the safety of structural members must be secured even if they are exposed to a severe thermal loading beyond an estimated load. In view of such a background, this paper deals with a control problem of a thermal stress in a multilayer composite circular disk consisting of a structural layer and piezoceramic layers with concentrically arranged electrodes. When a heating temperature distribution acts on the structural layer surface, the maximum thermal stress in the structural layer can be suppressed by applying appropriate voltages to the electrodes. This thermo-elastic problem has been theoretically analyzed by employing the potential function techniques. Utilizing the analytical results, the nonlinear optimization problem for determining the applied voltages is transformed into a linear programming problem and then the optimum solution is successfully obtained. Based on the obtained solutions, the structure of a composite disk has been designed in order to demonstrate the function of stress control to the fullest extent possible. Finally, numerical results for the stresses before and after applying the determined voltages as well as for the structure design of the composite disk and the suppression ratio of the maximum thermal stress are shown in graphical and tabular forms. It is seen from the numerical results that the maximum thermal stress can be reduced by about 34% when the structure of the composite disk is designed optimally.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Geometry of a multilayer composite disk

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Figure 2

Distributions of radial and hoop thermal stresses on the upper surface of each layer (N=4)

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Figure 3

Effects of the number and width of electrodes on the suppression ratio of the maximum thermal stress derived under no stress constraints (N=4)

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Figure 4

Distributions of radial and hoop stresses on the upper surface of each layer after applying the determined voltages derived under no stress constraints (N=4, M=4, w¯=0.20, and q¯=0.05)

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Figure 5

Effects of the number and width of electrodes on the suppression ratio of the maximum thermal stress derived under stress constraints (N=4)

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Figure 6

Distributions of radial and hoop stresses on the upper surface of each layer after applying the determined voltages derived under stress constraints (N=4, M=2, w¯=0.375, and q¯=0.125)

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