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

被引：81

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.

引用

页数：19

共 57 条

[1] Nonlocal strain gradient exact solutions for functionally graded inflected nano-beams [J].