In this paper, an analytical model is developed to investigate the buckling analysis of the composite sandwich conical shell with variable skin thickness under lateral pressure loading. This problem involves composite shells, which are produced during the filament-winding process, where the skin thickness varies through the length of the shell. An effective smeared method is employed to reduce the reinforced lattice core into a layer. This is done by analyzing forces and moments on a unit cell. Therefore, equivalent stiffness parameters of reinforced lattice core are determined. By superimposing stiffness parameters due to the lattice core with those of the inner and outer skins, the equivalent stiffness of the sandwich panel will be obtained. Governing equations are established based on the first shear deformation theory. The power series method is used to extract the buckling load of the stiffened shell. To verify achieved results, a 3D finite element model is provided. Comparisons showed that the analytical solution is qualified enough to study the buckling behavior of the composite sandwich conical shell. Through this study, the effects of a set of important parameters like stiffener orientation angle, number of stiffeners, semi-vertex angle, and skin lamination are investigated.
BardellNSMeadDJ. Free vibration of an orthogonally stiffened cylindrical shell, part I: discrete line simple supports. J Sound Vibr1989; 134: 29–54, DOI: 10.1016/0022-460X(89)90735-9.
2.
BardellNSMeadDJ. Free vibration of an orthogonally stiffened cylindrical shell, part II: discrete general stiffeners. J Sound Vibr1989; 134: 55–72, DOI: 10.1016/0022-460X(89)90736-0.
3.
ZhaoXLiewKMNgTY. Vibrations of rotating cross-ply laminated circular cylindrical shells with stringer and ring stiffeners. Int J Sol Struct2002; 39: 529–545, DOI: 10.1016/S0020-7683(01)00194-9.
4.
LeeY-SKimY-W. Vibration analysis of rotating composite cylindrical shells with orthogonal stiffeners. Comput Struct1998; 69: 271–281, DOI: 10.1016/S0045-7949(97)00047-3.
5.
KidaneSLiGHelmsJ, et al.Buckling load analysis of grid stiffened composite cylinders. Compos B Eng2003; 34: 1–9, DOI: 10.1016/S1359-8368(02)00074-4.
6.
WodesenbetEKidaneSPangS-S. Optimization for buckling loads of grid stiffened composite panels. Compos Struct2003; 60: 159–169, DOI: 10.1016/S0263-8223(02)00315-X.
7.
RahimiGHZandiMRasouliSF. Analysis of the effect of stiffener profile on buckling strength in composite isogrid stiffened shell under axial loading. Aerosp Sci Technol2013; 24: 198–203, DOI: 10.1016/j.ast.2011.11.007.
8.
YazdaniMHosseinRAfaghi KhatibiA. An experimental investigation into the buckling of GFRP stiffened shells under axial loading. Sci Res Essay2009; 4: 914–920.
9.
YazdaniMRahimiGH. The behavior of GFRP-stiffened and -unstiffened shells under cyclic axial loading and unloading. J Reinf Plast Compos2011; 30: 440–445, DOI: 10.1177/0731684411398537.
10.
YazdaniMRahimiGH. The effects of helical ribs’ number and grid types on the buckling of thin-walled GFRP-stiffened shells under axial loading. J Reinf Plast Compos2010; 29: 2568–2575, DOI: 10.1177/0731684409355202.
11.
HemmatnezhadMRahimiGHAnsariR. On the free vibrations of grid-stiffened composite cylindrical shells. Acta Mech2014; 225: 609–623, DOI: 10.1007/s00707-013-0976-1.
12.
HemmatnezhadMRahimiGHTajikM, et al.Experimental, numerical and analytical investigation of free vibrational behavior of GFRP-stiffened composite cylindrical shells. Compos Struct2015; 120: 509–518, DOI: 10.1016/j.compstruct.2014.10.011.
13.
XuYTongYLiuM, et al.A new effective smeared stiffener method for global buckling analysis of grid stiffened composite panels. Compos Struct2016; 158: 83–91, DOI: 10.1016/j.compstruct.2016.09.015.
14.
WangBTianKHaoP, et al.Numerical-based smeared stiffener method for global buckling analysis of grid-stiffened composite cylindrical shells. Compos Struct2016; 152: 807–815, DOI: 10.1016/j.compstruct.2016.05.096.
15.
ZhangHSunFFanH, et al.Free vibration behaviors of carbon fiber reinforced lattice-core sandwich cylinder. Compos Sci Technol2014; 100: 26–33, DOI: 10.1016/j.compscitech.2014.05.030.
16.
BartolozziGBaldanziniNPieriniM. Equivalent properties for corrugated cores of sandwich structures: a general analytical method. Compos Struct2014; 108: 736–746, DOI: 10.1016/j.compstruct.2013.10.012.
17.
YangJ-SMaLSchröderK-U, et al.Experimental and numerical study on the modal characteristics of hybrid carbon fiber composite foam filled corrugated sandwich cylindrical panels. PolymTest2018; 68: 8–18, DOI: 10.1016/j.polymertesting.2018.03.040.
18.
LiMSunFLaiC, et al.Fabrication and testing of composite hierarchical isogrid stiffened cylinder. Compos Sci Technol2018; 157: 152–159, DOI: 10.1016/j.compscitech.2018.01.040.
19.
JiangSSunFFanH, et al.Fabrication and testing of composite orthogrid sandwich cylinder. Compos Sci Technol2017; 142: 171–179, DOI: 10.1016/j.compscitech.2017.02.009.
20.
SunFLaiCFanH. Failure mode maps for composite anisogrid lattice sandwich cylinders under fundamental loads. Compos Sci Technol2017; 152: 149–158, DOI: 10.1016/j.compscitech.2017.09.003.
21.
HanYWangPFanH, et al.Free vibration of CFRC lattice-core sandwich cylinder with attached mass. Compos Sci Technol2015; 118: 226–235, DOI: 10.1016/j.compscitech.2015.09.007.
22.
ChenLFanHSunF, et al.Improved manufacturing method and mechanical performances of carbon fiber reinforced lattice-core sandwich cylinder. Thin Wall Struct2013; 68: 75–84, DOI: 10.1016/j.tws.2013.03.002.
23.
SingerJ.Buckling of circular conical shells under axisymmetrical external pressure. J Mech Eng Sci1961; 3: 330–339, DOI: 10.1243/JMES_JOUR_1961_003_045_02.
24.
ThurstonGA. Effect of boundary conditions on the buckling of conical shells under hydrostatic pressure. J Appl Mech1965; 32: 208–209, DOI: 10.1115/1.3625728.
25.
SofiyevAValiyevAOzyigitP. The buckling of non-homogeneous truncated conical shells under a lateral pressure and resting on a winkler foundation. J Solid Mech2009; 1.
26.
SofiyevAHKuruoğluN. The stability of FGM truncated conical shells under combined axial and external mechanical loads in the framework of the shear deformation theory. Compos B Eng2016; 92: 463–476, DOI: 10.1016/j.compositesb.2016.02.027.
27.
SofiyevAHKorkmazKMammadovZ, et al.The vibration and buckling of freely supported non-homogeneous orthotropic conical shells subjected to different uniform pressures. Int J Press Vess Pip2009; 86: 661–668, DOI: 10.1016/j.ijpvp.2009.03.012.
28.
SofiyevAH. Buckling analysis of freely-supported functionally graded truncated conical shells under external pressures. Compos Struct2015; 132: 746–758, DOI: 10.1016/j.compstruct.2015.06.026.
29.
DungDVVuongP. Analytical investigation on buckling and postbuckling of FGM toroidal shell segment surrounded by elastic foundation in thermal environment and under external pressure using TSDT. Acta Mechanica2017; 228: 1–21, DOI: 10.1007/s00707-017-1888-2.
30.
DungDChanD. Analytical investigation on mechanical buckling of FGM truncated conical shells reinforced by orthogonal stiffeners based on FSDT. Compos Struct2016; 159: 827–841, DOI: 10.1016/j.compstruct.2016.10.006.
31.
ZareiMRahimiGHHemmatnezhadM. On the buckling resistance of grid-stiffened composite conical shells under compression. Eng Struct2021; 237: 112213, DOI: 10.1016/j.engstruct.2021.112213.
32.
TotaroG. Flexural, torsional, and axial global stiffness properties of anisogrid lattice conical shells in composite material. Compos Struct2016; 153: 738–745, DOI: 10.1016/j.compstruct.2016.06.072.
33.
MorozovEVLopatinAVNesterovVA. Buckling analysis and design of anisogrid composite lattice conical shells. Compos Struct2011; 93: 3150–3162, DOI: 10.1016/j.compstruct.2011.06.015.
34.
ZareiMRahimiGShahgholian-GhahfarokhiD. Investigation on the free vibration behavior of sandwich conical shells with reinforced cores. J Sandwich Struct Mater2021; 24: 900–927, DOI: 10.1177/10996362211020426.
35.
ZareiMRahimiGHHemmatnezhadM. Global buckling analysis of laminated sandwich conical shells with reinforced lattice cores based on the first-order shear deformation theory. Int J Mech Sci2020; 187: 105872, DOI: 10.1016/j.ijmecsci.2020.105872.
36.
IrieTYamadaGKanekoY. Free vibration of a conical shell with variable thickness. J Sound Vibr1982; 82: 83–94, DOI: 10.1016/0022-460X(82)90544-2.
37.
SivadasKRGanesanN.Vibration analysis of laminated conical shells with variable thickness. J Sound Vibr1991; 148: 477–491, DOI: 10.1016/0022-460X(91)90479-4.
38.
GoldfeldYArboczJ. Buckling of laminated conical shells given the variations of the stiffness coefficients. AIAA J2004; 42: 642–649, DOI: 10.2514/1.2765.
39.
GoldfeldYArboczJ. Elastic buckling of laminated conical shells using a hierarchical high-fidelity analysis procedure. J Eng Mech-ASCE2006; 132, DOI: 10.1061/(ASCE)0733-9399(2006)132:12(1335).
40.
KoiterWTElishakoffILiYW, et al.Buckling of an axially compressed cylindrical shell of variable thickness. Int J Sol Struct1994; 31: 797–805, DOI: 10.1016/0020-7683(94)90078-7.
41.
Buckling under the external pressure of cylindrical shells with variable thickness. Int J Sol Struct2009;46:4163–4168. DOI: 10.1016/j.ijsolstr.2009.07.025.
42.
SundarasivaraoBSKGanesanN.Deformation of varying thickness of conical shells subjected to axisymmetric loading with various end conditions. Eng Fract Mech1991; 39: 1003–1010, DOI: 10.1016/0013-7944(91)90106-B.
43.
ZareiMRahimiGH. Buckling characteristics of sandwich conical shells with variable skin thickness. Int J Appl Mech2021; 13: 2150100, DOI: 10.1142/S1758825121501003.
44.
ZareiMRahimiGHHemmatnezhadM. The influence of variable shell thickness on the vibrational behavior of composite sandwich conical shells with geodesic lattice cores. Int J Str Stab Dyn2021; 21: 2150168, DOI: 10.1142/S0219455421501686.
45.
ZareiMRahimiGH. Effect of boundary condition and variable shell thickness on the vibration behavior of grid-stiffened composite conical shells. Appl Acoust2022; 188: 108546, DOI: 10.1016/j.apacoust.2021.108546.
