Free vibration of nonlocal piezoelectric nanoplates under various boundary conditions |
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| Affiliation: | 1. Department of Environment, Damavand Branch, Islamic Azad University, Damavand, Iran;2. Young Researchers and Elites Club, North Tehran Branch, Islamic Azad University, Tehran, Iran;3. Department of Engineering, College of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran;1. Department of Aerospace Engineering and Center of Excellence in Computational Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt;1. Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt;1. Young Researchers and Elites Club, North Tehran Branch, Islamic Azad University, Tehran, Iran;2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran;3. Department of Engineering, College of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran |
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| Abstract: | This paper investigates the thermo-electro-mechanical vibration of the rectangular piezoelectric nanoplate under various boundary conditions based on the nonlocal theory and the Mindlin plate theory. It is assumed that the piezoelectric nanoplate is subjected to a biaxial force, an external electric voltage and a uniform temperature rise. The Hamilton's principle is employed to derive the governing equations and boundary conditions, which are then discretized by using the differential quadrature (DQ) method to determine the natural frequencies and mode shapes. The detailed parametric study is conducted to examine the effect of the nonlocal parameter, thermo-electro-mechanical loadings, boundary conditions, aspect ratio and side-to-thickness ratio on the vibration behaviors. |
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| Keywords: | Piezoelectric materials Nanoplates Size effect Thermo-electro-mechanical vibration Nonlocal theory |
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