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research-article

A fractional order generalized thermoelastic problem of a bi-layer piezoelectric plate for vibration control

[+] Author and Article Information
Xu Yeshou

Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing 210096, China
xuyeshou@163.com

Zhao-Dong Xu

Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing 210096, China
zhdxu@163.com

He Tianhu

School of Science, Lanzhou University of Technology, Lanzhou 730050, China
heth@lut.cn

Chen Jinxiang

Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing 210096, China
chenjpaper@yahoo.co.jp

Chao Xu

Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing 210096, China
xuchaolove11@126.com

1Corresponding author.

ASME doi:10.1115/1.4036092 History: Received November 11, 2016; Revised February 12, 2017

Abstract

Multi-layered piezoelectric structures have special applications for vibration control, and they often serve in a thermoelastic coupling environment in many cases. In this work, the fractional order generalized thermoelasticity theory is used to investigate the dynamic thermal and elastic behavior of a bi-layer 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 bi-layer piezoelectric-thermoelastic plate with temperature-dependent properties is formulated and then solved by means of Laplace transformation and Riemann-sum approximation. The distributions of the considered non-dimensional displacement, temperature and stress are obtained and illustrated graphically. According to the numerical results, the effects of the thermal contact resistance, the ratio of material properties between different layers, 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 to gain insights in the optimal design of actuators, sensors made of piezoelectric materials.

Copyright (c) 2017 by ASME
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