FREE VIBRATION OF FUNCTIONALLY GRADED SIZE DEPENDENT NANOPLATES BASED ON SECOND ORDER SHEAR DEFORMATION THEORY USING NONLOCAL ELASTICITY THEORY

被引：0

作者：

Nami, M. R. ^{[1
]}

Janghorban, M. ^{[1
]}

机构：

[1] Shiraz Univ, Sch Mech Engn, Shiraz, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF MECHANICAL ENGINEERING | 2015年 / 39卷 / M1期

关键词：

Free vibration; nonlocal elasticity theory; second order shear deformation theory; functionally graded nanoplates; 3-DIMENSIONAL VIBRATION; STATIC ANALYSIS; PLATES; BEHAVIOR;

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this article, an analytical solution is developed to study the free vibration analysis of functionally graded rectangular nanoplates. The governing equations of motion are derived based on second order shear deformation theory using nonlocal elasticity theory. It is assumed that the material properties of nanoplate vary through the thickness according to the power law distribution. Our numerical results are compared with the results of isotropic nanoplates and functionally graded macro plates. The effects of various parameters such as nonlocal parameter and power law indexes are also investigated.

引用

页码：15 / 28

页数：14

共 26 条

[1] Exploring the applicability of gradient elasticity to certain micro/nano reliability problems
Aifantis, Elias C.
[J]. MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS, 2009, 15 (01): : 109 - 115
[2] Alibakhshi R., 2011, J MECH RES APPL, V3, P65
[3] Static analysis of rectangular nano-plate using three-dimensional theory of elasticity
Alibeigloo, A.
Zanoosi, A. A. Pasha
[J]. APPLIED MATHEMATICAL MODELLING, 2013, 37 (10-11) : 7016 - 7026
[4] Ansari R, 2013, IJST-T MECH ENG, V37, P91
[5] A size-dependent model for functionally graded micro-plates for mechanical analyses
Asghari, Mohsen
Taati, Ehsan
[J]. JOURNAL OF VIBRATION AND CONTROL, 2013, 19 (11) : 1614 - 1632
[6] LINEAR THEORY OF NONLOCAL ELASTICITY AND DISPERSION OF PLANE-WAVES
ERINGEN, AC
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1972, 10 (05) : 425 - &
[7] Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics
Farajpour, Ali
Danesh, Mohammad
Mohammadi, Moslem
[J]. PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2011, 44 (03) : 719 - 727
[8] Radial vibration of free anisotropic nanoparticles based on nonlocal continuum mechanics
Ghavanloo, Esmaeal
Fazelzadeh, S. Ahmad
[J]. NANOTECHNOLOGY, 2013, 24 (07)
[9] Gnanasundarajayaraja B, 2014, IJST-T MECH ENG, V38, P105
[10] Three-dimensional vibration analyses of functionally graded material rectangular plates with through internal cracks
Huang, C. S.
Yang, P. J.
Chang, M. J.
[J]. COMPOSITE STRUCTURES, 2012, 94 (09) : 2764 - 2776

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