Multilayered piezoelectric structures have special applications for vibration control, and they often serve in a thermoelastic coupling environment. In this work, the fractional-order generalized thermoelasticity theory is used to investigate the dynamic thermal and elastic behavior of a bilayer piezoelectric–thermoelastic plate with temperature-dependent properties. The thermal contact resistance is implemented to describe the interfacial thermal wave propagation. The governing equations for the bilayer piezoelectric–thermoelastic plate with temperature-dependent properties are formulated and then solved by means of Laplace transformation and Riemann-sum approximation. The distributions of the nondimensional temperature, displacement, and stress are obtained and illustrated graphically. According to the numerical results, the effects of the thermal contact resistance, the ratio of the material properties between different layers, the temperature-dependent properties, and the fractional-order parameters on the distributions of the considered quantities are revealed in different cases and some remarkable conclusions are obtained. The investigation helps gain insights into the optimal design of actuators, sensors, which are made of piezoelectric materials.
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A Fractional-Order Generalized Thermoelastic Problem of a Bilayer Piezoelectric Plate for Vibration Control
Yeshou Xu,
Yeshou Xu
Key Laboratory of Concrete and Prestressed
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Search for other works by this author on:
Zhao-Dong Xu,
Zhao-Dong Xu
Key Laboratory of Concrete and Prestressed
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Search for other works by this author on:
Tianhu He,
Tianhu He
School of Science,
Lanzhou University of Technology,
Lanzhou 730050, China
Lanzhou University of Technology,
Lanzhou 730050, China
Search for other works by this author on:
Jinxiang Chen,
Jinxiang Chen
Key Laboratory of Concrete and Prestressed
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Search for other works by this author on:
Chao Xu
Chao Xu
Key Laboratory of Concrete and Prestressed
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Search for other works by this author on:
Yeshou Xu
Key Laboratory of Concrete and Prestressed
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Zhao-Dong Xu
Key Laboratory of Concrete and Prestressed
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Tianhu He
School of Science,
Lanzhou University of Technology,
Lanzhou 730050, China
Lanzhou University of Technology,
Lanzhou 730050, China
Jinxiang Chen
Key Laboratory of Concrete and Prestressed
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Chao Xu
Key Laboratory of Concrete and Prestressed
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Concrete Structures of Ministry of Education,
Southeast University,
Nanjing 210096, China
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 11, 2016; final manuscript received February 12, 2017; published online April 11, 2017. Editor: Portonovo S. Ayyaswamy.
J. Heat Transfer. Aug 2017, 139(8): 082003 (10 pages)
Published Online: April 11, 2017
Article history
Received:
November 11, 2016
Revised:
February 12, 2017
Citation
Xu, Y., Xu, Z., He, T., Chen, J., and Xu, C. (April 11, 2017). "A Fractional-Order Generalized Thermoelastic Problem of a Bilayer Piezoelectric Plate for Vibration Control." ASME. J. Heat Transfer. August 2017; 139(8): 082003. https://doi.org/10.1115/1.4036092
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