Control of Transient Thermoelastic Displacement in a Piezoelectric Based Intelligent Plate

Abstract

The present paper deals with an intelligent solid state actuator which can control a distribution of thermoelastic displacement at submicron order, in the case where unknown transient heating temperature acts on the actuator. The intelligent actuator consists of an isotropic structural layer onto which two piezoceramic layers of crystal class 6 mm are perfectly bonded. First, by analyzing an inverse problem of transient piezothermoelasticity, the unknown heating temperature acting on the structural layer is inferred from the electric potential induced in the middle piezoceramic layer. Next, analysis of a control problem leads to a transient electric potential applied to the top piezoceramic layer which gives the desired elastic displacement distribution on the free surface of the structural layer. Finally, numerical results are illustrated graphically.

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References

Ashida, F. and Noda, N. 1997. “Control of Transient Thermoelastic Displacement of an Isotropic Plate Associated with a Piezoelectric Ceramic Plate,” Journal of Thermal Stresses, 20 (3/4): 407-427.

Ashida, F. and Tauchert, T. R. 1998. “An Inverse Problem for Determination of Transient Surface Temperature from Piezoelectric Sensor Measurement,” Trans. ASME, Journal of Applied Mechanics, 65 (2): 367-373.

Ashida, F. , Choi, J. and Noda, N. 1996. “An Inverse Thermoelastic Problem in an Isotropic Plate Associated with a Piezoelectric Ceramic Plate,” Journal of Thermal Stresses,. 19 (2): 153-167.

Ashida, F. , Choi, J. and Noda, N. 1997. “Control of Elastic Displacement in Piezoelectric Based Intelligent Plate Subjected to Thermal Load,” International Journal of Engineering Science, 35 (9): 851-868.

Ashida, F. , Tauchert, T. R. and Noda, N. 1994. “Potential Function Method for Piezothermoelastic Problems of Solids of Crystal Class 6 mm in Cylindrical Coordinates,” Journal of Thermal Stresses, 17 (3): 361-375.

Berlincourt, D ,. Jaffe, H. and Shiozawa, L. R. 1963. “Electroelastic Properties of the Sulfides, Selenides, and Tellurides of Zinc and Cadmium,” Physical Review, 129 (3): 1009-1017.

Choi, J. , Ashida, F. and Noda, N. 1997. “Control of Thermally Induced Elastic Displacement of an Isotropic Structural Plate Bonded to a Piezoelectric Ceramic Plate,” Acta Mechanica, 122 (1): 49-63.

Takeuti, Y. 1986. “On Some Three-Dimensional Thermal Stress Problems in Industrial Applications,” Thermal Stresses I (Edited by Hetnarski, R. B. ): 485-535, North-Holland, Amsterdam.

Tauchert, T. R. et al. 2000. “Developments in Thermopiezoelasticity with Relevance to Smart Composite Structures,” Composite Structures, 48 (1): 31-38.