Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory

Ke, Liao-Liang, Wang, Yue-Sheng, Yang, Jie and Kitipornchai, Sritawat (2014) Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory. Acta Mechanica Sinica/Lixue Xuebao, 30 4: 516-525. doi:10.1007/s10409-014-0072-3


Author Ke, Liao-Liang
Wang, Yue-Sheng
Yang, Jie
Kitipornchai, Sritawat
Title Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory
Journal name Acta Mechanica Sinica/Lixue Xuebao   Check publisher's open access policy
ISSN 0567-7718
1614-3116
Publication date 2014-08-01
Year available 2014
Sub-type Article (original research)
DOI 10.1007/s10409-014-0072-3
Open Access Status Not Open Access
Volume 30
Issue 4
Start page 516
End page 525
Total pages 10
Place of publication Heidelberg, Germany
Publisher Springer
Language eng
Abstract In this paper, the free vibration of magnetoelectro-elastic (MEE) nanoplates is investigated based on the nonlocal theory and Kirchhoff plate theory. The MEE nanoplate is assumed as all edges simply supported rectangular plate subjected to the biaxial force, external electric potential, external magnetic potential, and temperature rise. By using the Hamilton's principle, the governing equations and boundary conditions are derived and then solved analytically to obtain the natural frequencies of MEE nanoplates. A parametric study is presented to examine the effect of the nonlocal parameter, thermo-magneto-electro-mechanical loadings and aspect ratio on the vibration characteristics of MEE nanoplates. It is found that the natural frequency is quite sensitive to the mechanical loading, electric loading and magnetic loading, while it is insensitive to the thermal loading.
Keyword Magneto-electro-elastic materials
Nanoplates
Nonlocal theory
Vibration
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Official 2015 Collection
 
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