Functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure under the actions of axial and lateral distributed loads is considered. The static buckling of this structure is analyzed numerically. The Ritz method is used to derive the governing equations of the joined thin-walled structure buckling. Higher-order shear deformation theory is applied to describe the structure stress-strain state. The continuity conditions of the spherical-cylinder junction are derived. The displacements projections are chosen in the special form to satisfy these continuity conditions. The dependences of the buckling axial load on the CNTs distributions, CNTs volume fractions are analyzed numerically.
AllaouiABaiSChengHM, et al. Mechanical and electrical properties of a MWNT/epoxy composite. Compos Sci Technol2002; 62: 1993–1998.
2.
CiLBaiJB.The reinforcement role of carbon nanotubes in epoxy composites with different matrix stiffness. Compos Sci Technol2006; 66: 599–603.
3.
ZhouZNiYTongZ, et al. Accurate nonlinear stability analysis of functionally graded multilayer hybrid composite cylindrical shells subjected to combined loads. Mater Design2019; 182: 108035.
4.
ZhouZNiYTongZ, et al. Accurate nonlinear buckling analysis of functionally graded porous graphene platelet reinforced composite cylindrical shells. Int J Mec. Sci2019; 151: 537–550.
5.
WangYFengCZhaoZ, et al. Buckling of graphene platelet reinforced composite cylindrical shell with cutout. Int J Struct Stab Dyn2018; 18: 1850040.
6.
DongYHHeLWWangL, et al. Buckling of spinning functionally graded graphene reinforced porous nanocomposite cylindrical shells: an analytical study. Aerosp Sci Technol2018; 82–83: 466–478.
7.
ShenHSXiangY.Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical shells subjected to external pressure in thermal environments. Thin-Wall Struct2018; 124: 151–160.
8.
ShenHS.Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, part I: axially-loaded shells. Compos Struct2011; 93: 2096–2108.
9.
ShenHS.Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, part II: pressure-loaded shells. Compos Struct2011; 93: 2496–2503.
10.
AnsariRTorabiJ.Numerical study on the buckling and vibration of function-ally graded carbon nanotube-reinforced composite conical shells under axial loading. Compos Part B, Eng2016; 95: 196–208.
11.
AnsariRPourashrafTGholamiR, et al. Analytical solution for nonlinear postbuckling of functionally graded carbon nanotube-reinforced composite shells with piezoelectric layers. Compos Part B Eng2016; 90: 267–277.
12.
WangYFengCZhaoZ, et al. Eigenvalue buckling of functionally graded cylindrical shells reinforced with graphene platelets (GPL). Compos Struct2018; 202: 38–46.
13.
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.
14.
WangYFengCZhaoZ, et al. Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout. Compos Struct2018; 197: 72–79.
15.
LouJHeLWuH, et al. Pre-buckling and buckling analyses of functionally graded microshells under axial and radial loads based on the modified couple stress theory. Compos Struct2016; 142: 226–237.
ThangPTThoiTNLeeJ.Closed-form solution for nonlinear buckling analysis of FG-CNTRC cylindrical shells with initial geometric imperfections. Eur J Mech/A Solids2019; 73: 483–491.
18.
LiewKMLeiZXYuJL, et al. Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach. Comput Methods Appl Mech Eng2014; 268: 1–17.
19.
ShenHSXiangY.Postbuckling of axially compressed nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Compos Part B Eng2014; 67: 50–61.
20.
García-MacíasERodriguez-TemblequeLCastro-TrigueroR, et al. Buckling analysis of functionally graded carbon nanotube-reinforced curved panels under axial compression and shear. Compos Part B2017; 108: 243–256.
21.
WuHLYangJKitipornchaiS.Nonlinear vibration of functionally graded carbon nanotube-reinforced composite beams with geometric imperfections. Compos Part B2016; 90: 86–96.
22.
RafieeMYangJKitipornchaiS.Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers. Compos Struct2013; 96: 716–725.
AvramovK.Nonlinear modes of parametric vibrations and their applications to beams dynamics. J Sound Vibr2009; 322: 476–489.
25.
AvramovK.Nonlinear beam oscillations excited by lateral force at combination resonance. J Sound Vibr2002; 257: 337–359.
26.
Al-FurjanMSHFarrokhianAKeshtegarB, et al. Dynamic stability control of viscoelastic nanocomposite piezoelectric sandwich beams resting on Kerr foundation based on exponential piezoelasticity theory. Eur J Mech A/Solids2021; 86: 104169.
27.
KeshtegarBMotezakerMKolahchiR, et al. Wave propagation and vibration responses in porous smart nanocomposite sandwich beam resting on Kerr foundation considering structural damping. Thin–Wall Struct2020; 154: 106820.
28.
KeshtegarBFarrokhianAKolahchiR, et al. Dynamic stability response of truncated nanocomposite conical shell with magnetostrictive face sheets utilizing higher order theory of sandwich panels. Eur J Mech A/Solids2020; 82: 104010.
29.
HajmohammadMFarrokhianHAKolahchiR.Smart control and vibration of viscoelastic actuator-multiphase nanocomposite conical shells-sensor considering hygrothermal load based on layerwise theory. Aerosp Sci Technol2018; 78: 260–270.
30.
Al-FurjanMSHFarrokhianAKeshtegarB, et al. Higher order nonlocal viscoelastic strain gradient theory for dynamic buckling analysis of carbon nanocones. Aerosp Sci Technol2020; 107: 106259.
31.
TaherifarRZareeiSABidgoliMR, et al. Application of differential quadrature and newmark methods for dynamic response in pad concrete foundation covered by piezoelectric layer. J Comp Appl Math2021; 382: 113075.
32.
AzizkhaniMKadkhodapourJAnarakiAP, et al. Study of body movement monitoring utilizing nano-composite strain sensors containing carbon nanotubes and silicone rubber. Steel Comp Struct2020; 35: 779–788.
33.
KolahchiRTianKKeshtegarB, et al. AK-GWO: a novel hybrid optimization method for accurate optimum hierarchical stiffened shells. Engin. with Comp 2020. https://doi.org/10.1007/s00366-020-01124-6.
34.
KolahchiRKolahdouzanF.A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions. Appl Math Model2021; 91: 458–475.
35.
KeshtegarBXiaoMKolahchiR, et al. Reliability analysis of stiffened aircraft panels using adjusting mean value method. Aiaa J2020; 58: 5448–5458. https://doi.org/10.2514/1.J059636.
36.
BagheriHKianiYEslamiMR.Free vibration of joined conical–cylindrical–conical shells. Acta Mech2018; 229: 2751–2764.
37.
PangFLiHCuiJ, et al. Application of flügge thin shell theory to the solution of free vibration behaviors for spherical-cylindrical-spherical shell: a unified formulation. Eur J Mech/A Solids2019; 74: 381–393.
38.
WuSQuYHuaH.Vibrations characteristics of joined cylindrical-spherical shell with elastic-support boundary conditions. J Mech Sci Technol2013; 27: 1265–1272.
39.
QuYChenYLongX, et al. A variational method for free vibration analysis of joined cylindrical-conical shells. J Vibr Control2013; 19: 2319–2334.
40.
MaXJinGXiongY, et al. Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions. Int J Mech Sci2014; 88: 122–137.
PatelBPNathYShuklaKK.Nonlinear thermo-elastic buckling characteristics of cross-ply laminated joined conical–cylindrical shells. Int J Solids Struct2006; 43: 4810–4829.
43.
PietraszkiewiczWKonopińskaV.Junctions in shell structures: a review. Thin-Wall Struct2015; 95: 310–334.
44.
BalabuchLIAlfutovNAUsyukinVI.Rocket structures (in Russian). Moscow: Vyshaya shkola, 1984.
45.
WangQCuiXQinB, et al. Vibration analysis of the functionally graded carbon nanotube reinforced composite shallow shells with arbitrary boundary conditions. Compos Struct2017; 182: 364–379.
46.
ShenHS.Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Compos Struct2009; 91: 9–19.
47.
AmabiliMReddyJN.A new non-linear higher-order shear deformation theory for large-amplitude vibrations of laminated doubly curved shells. Int J Non-Lin Mech2010; 45: 409–418.
48.
ReddyJN.A refined nonlinear theory of plates with transverse shear deformation. Int J Sol Struct1984; 20: 881–896.
49.
AlfutovNA.Stability of elastic structures. Berlin: Springer-Verlag, 2000.
50.
AvramovKVChernobryvkoMUspenskyB, et al. Self-sustained vibrations of functionally graded carbon nanotubes reinforced composite cylindrical shell in supersonic flow. Nonlinear Dyn2019; 98: 1853–1876.
51.
WashizuK.Variational methods in elasticity and plasticity. Oxford: Pergamon Press, 1982.
52.
SobhaniaraghBNejatiMMansurWJ.Buckling modelling of ring and stringer stiffened cylindrical shells aggregated by graded CNTs. Compos Part B: Eng2017; 124: 120–133.
53.
MehriMAsadiHWangQ.On dynamic instability of a pressurized functionally graded carbon nanotube reinforced truncated conical shell subjected to yawed supersonic airflow. Compos Struct2016; 153: 938–951.
54.
AsadiH.Numerical simulation of the fluid-solid interaction for CNT reinforced functionally graded cylindrical shells in thermal environments. Acta Astron2017; 138: 214–224.
55.
DucNDCongPHTuanND, et al. and Mechanical stability of functionally graded carbon nanotubes (FG CNT)-reinforced composite truncated conical shells surrounded by the elastic foundations. Thin–Wall Struct2017; 115: 300–331.
