Nonlocal electro-thermo-mechanical analysis of a sandwich nanoplate containing a Kelvin-Voigt viscoelastic nanoplate and two piezoelectric layers

被引:85
作者
Arefi, Mohammad [1 ]
Zenkour, Ashraf M. [2 ,3 ]
机构
[1] Univ Kashan, Dept Solid Mech, Fac Mech Engn, Kashan 8731751167, Iran
[2] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[3] Kafrelsheikh Univ, Dept Math, Fac Sci, Kafrelsheikh 33516, Egypt
关键词
FUNCTIONALLY GRADED PLATES; SHEAR DEFORMATION-THEORY; VIBRATION ANALYSIS; SUBSTRATE; RESPONSES; CYLINDER; BEHAVIOR;
D O I
10.1007/s00707-016-1716-0
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Thermo-electro-mechanical transient analysis of a sandwich nanoplate is studied in this paper. The sandwich nanoplate consists of a Kelvin-Voigt viscoelastic nanoplate and two integrated piezoelectric face sheets resting on a visco-Pasternak foundation. The sandwich nanoplate is subjected to thermal and mechanical loads, and the piezoelectric face sheets are subjected to an applied electric potential. Two-variable sinusoidal shear deformation plate theory is used for the description of the displacement components. The governing equations of motion are derived using Hamilton's principle by calculation of strain and kinetic energies and energy due to external forces. The natural frequencies of the sandwich nanoplate are calculated in terms of three parameters of foundation, structural viscoelastic damping parameter and excitation frequency. Also, bending results of the problem in terms of the parameters of the temperature loadings are presented.
引用
收藏
页码:475 / 493
页数:19
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