Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations

被引：80
|
作者：
Arefi, Mohammad [1 ]
Bidgoli, Elyas Mohammad-Rezaei [1 ]
Dimitri, Rossana [2 ]
Tornabene, Francesco [2 ]
Reddy, J. N. [3 ]
机构：
[1] Univ Kashan, Fac Mech Engn, Dept Solid Mech, Kashan 8731751167, Iran
[2] Univ Salento, Dept Innovat Engn, I-73100 Lecce, Italy
[3] Texas A&M Univ, Adv Computat Mech Lab, Dept Mech Engn, College Stn, TX 77843 USA
来源：
APPLIED SCIENCES-BASEL | 2019年 / 9卷 / 08期
关键词：
composite curved nanobeam; first-order shear deformation theory; graphene nanoplatelet; Pasternak foundation; size-dependent vibration; SHEAR DEFORMATION-THEORY; NONLOCAL ELASTICITY; NONLINEAR VIBRATION; BEAM MODEL; PLATES; BEHAVIOR;
D O I：
10.3390/app9081580
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
This paper presents a free vibration analysis of functionally graded (FG) polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on a Pasternak foundation. The size-dependent governing equations of motion are derived by applying the Hamilton's principle and the differential law consequent (but not equivalent) to Eringen's strain-driven nonlocal integral elasticity model equipped with the special bi-exponential averaging kernel. The displacement field of the problem is here described in polar coordinates, according to the first order shear deformation theory. A large parametric investigation is performed, which includes different FG patterns, different boundary conditions, but also different geometrical parameters, number of layers, weight fractions, and Pasternak parameters.
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页数：19
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