In this paper, natural frequency analysis of functionally graded graphene platelet (GPL) reinforced composite cylindrical panel is investigated. Halpin-Tsai equations are employed to obtain the mechanical properties of the structure. The linear three-dimensional elasticity theory based on the Hamilton principle and the numerical finite element method are used for obtaining the governing equations of motion. Four patterns of GPL distributions such as: FG-X, FG-V, FG-O and UD are assumed through the thickness of shell. The effects of various parameters such as different distributions and weight fractions of GPL, zigzag and armchair lay-up, geometry and different boundary conditions on the natural frequencies and mode shapes of shell have been investigated. The results indicate that the maximum and minimum natural frequencies belong to FG-X pattern and FG-O pattern, respectively.
RafieeMARafieeJWangZ, et al.Enhanced mechanical properties of nanocomposites at low graphene content. ACS nano2009; 3: 3884–3890.
2.
FengCKitipornchaiSYangJ. Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs). Compos B, Eng2017; 110: 132–140.
3.
SongMKitipornchaiSYangJ. Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets. Compos Struct2017; 159: 579–588.
4.
KianiY. Isogeometric large amplitude free vibration of graphene reinforced laminated plates in thermal environment using NURBS formulation. Comput Methods Appl Mech Engng2018; 332: 86–101.
5.
KianiY. Influence of graphene platelets on the response of composite plates subjected to a moving load. Mech Based Des Struct Mach2020: 1–14. https://doi.org/10.1080/15397734.2020.1744006
6.
SafarpourMRahimiAAlibeiglooA. Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindrical shell, and annular plate using theory of elasticity and DQM. Mech Based Des Struct Mach2020; 48: 496–524.
7.
WangYQYeCZuJW. Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets. Aerosp Sci Technol2019; 85: 359–370. .
8.
JamalabadiMYABorjiPHabibiM, et al.Nonlinear vibration analysis of functionally graded GPL-RC conical panels resting on elastic medium. Thin-Walled Struct2021; 160: 107370.
9.
AshrafMALiuZZhangD, et al.Effects of elastic foundation on the large-amplitude vibration analysis of functionally graded GPL-RC annular sector plates. Eng Comput2020: 1–21. https://doi.org/10.1007/s00366-020-01068-x
10.
JavaniMKianiYEslamiMRGeometrically nonlinear free vibration of FG-GPLRC circular plate on the nonlinear elastic foundation. Compos Struct2021; 261: 113515.
11.
BidzardAMalekzadehPMohebpourS. Influences of pressure and thermal environment on nonlinear vibration characteristics of multilayer FG-GPLRC toroidal panels on nonlinear elastic foundation. Compos Struct2021; 259: 113503.
12.
NiuYYaoM. Linear and nonlinear vibrations of graphene platelet reinforced composite tapered plates and cylindrical panels. Aerosp Sci Technol2021; 155: 106798.
13.
AmirabadiFarhatniaFEftekhariS. A, et al. Wave propagation in rotating functionally graded GPL-reinforced cylindrical shells based on the third-order shear deformation theory. Waves Random Complex MEdia2021; 1–27. https://doi.org/10.1080/17455030.2021.1880031
14.
JavaniMKianiYEslamiMRApplication of generalized differential quadrature element method to free vibration of FG-GPLRC T-shaped plates. Eng Struct2021; 242: 112510.
15.
ShenHSXiangYLinF. Nonlinear bending of functionally graded graphene-reinforced composite laminated plates resting on elastic foundations in thermal environments. Compos Struct2017; 170: 80–90.
16.
GholamiRAnsariR. Large deflection geometrically nonlinear analysis of functionally graded multilayer graphene platelet-reinforced polymer composite rectangular plates. Compos Struct2017; 180: 760–771.
17.
YangJWuHKitipornchaiS. Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams. Compos Struct2017; 161: 111–118.
18.
KianiY. NURBS-based isogeometric thermal postbuckling analysis of temperature dependent graphene reinforced composite laminated plates. Thin-Walled Struct2018; 125: 211–219.
19.
DongYHZhuBWangY, et al.Nonlinear free vibration of graded graphene reinforced cylindrical shells: effects of spinning motion and axial load. J Sound Vib2018; 437: 79–96.
20.
HeydarpourYMalekzadehPDimitriR, et al.Thermoelastic analysis of rotating multilayer FG-GPLRC truncated conical shells based on a coupled TDQM-NURBS scheme. Compos Struct2020; 235: 111707.
21.
ZhaoZFengCDongY, et al.Geometrically nonlinear bending of functionally graded nanocomposite trapezoidal plates reinforced with graphene platelets (GPLs). Int J Mech Mater Des2019; 15: 791–800.
KianiY. Buckling of functionally graded graphene reinforced conical shells under external pressure in thermal environment. Compos B, Eng2019; 156: 128–137.
24.
BabaeiMKiarasiFHossaeini MarashiM, et al.Stress wave propagation and natural frequency analysis of functionally graded graphene platelet-reinforced porous joined conical–cylindrical–conical. Waves Random Complex MEdia2021. https://doi.org/10.1080/17455030.2021.2003478
25.
GengXZhaoLZhouW. Finite-element buckling analysis of functionally graded GPL-reinforced composite plates with a circular hole. Mech Based Des Struct Mach2020; 49(7): 1028–1044.
WangYFengCZhaoZ, et al.Buckling of graphene platelet reinforced composite cylindrical shell with cutout. Int J Struct Stab Dyn2018; 18: 1850040.
28.
ChenDYangJKitipornchaiS. Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams. Compos Sci Technol2017; 142: 235–245.
29.
LiuDKitipornchaiSChenW, et al.Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell. Compos Struct2018; 189: 560–569.
30.
NorooziARMalekzadehPDimitriR, et al.Meshfree radial point interpolation method for the vibration and buckling analysis of FG-GPLRC perforated plates under an in-plane loading. Eng Struct2020; 221: 111000.
KiarasiFBabaeiMMollaeiS, et al.Free vibration analysis of FG porous joined truncated conical-cylindrical shell reinforced by graphene platelets. Adv Nano Res2021; 11: 361–380.
33.
BabaeiMAsemiKKiarasiF. Static response and free-vibration analysis of a functionally graded annular elliptical sector plate made of saturated porous material based on 3D finite element method. Mech Based Des Struct Mach2020: 1–25. https://doi.org/10.1080/15397734.2020.1864401
34.
ShahsavariMAsemiKBabaeiM, et al.Numerical investigation On thermal post-buckling Of annular sector plates made Of FGM Via 3D finite element method. Mechanics of Advanced Composite Structures2021; 8(2): 309–320.
35.
BabaeiMHajmohammadMHAsemiK. Natural frequency and dynamic analyses of functionally graded saturated porous annular sector plate and cylindrical panel based on 3D elasticity. Aerosp Sci Technol2020; 96: 105524.
36.
ReddyJN. Mechanics of laminated composite plates and shells: theory and analysis. CRC Press, 2003.
