References
- E. Grande, M. Imbimbo and V. Tomei, “Role of global buckling in the optimization process of grid shells: Design strategies,” Eng. Struct., vol. 156, pp. 260–270, 2018. DOI: https://doi.org/10.1016/j.engstruct.2017.11.049.
- A. Koukouselis, A. Grammatopoulos and E. Mistakidis, “Buckling capacity of radially compressed thin-walled reinforced cementitious spheres,” Eng. Struct., vol. 157, pp. 63–74, 2018. DOI: https://doi.org/10.1016/j.engstruct.2017.11.063.
- R. Mesnil, C. Douthe, O. Baverel and B. Léger, “Linear buckling of quadrangular and kagome gridshells: A comparative assessment,” Eng. Struct., vol. 132, pp. 337–348, 2017. DOI: https://doi.org/10.1016/j.engstruct.2016.11.039.
- M. Golchi, M. Talebitooti and R. Talebitooti, “Thermal buckling and free vibration of FG truncated conical shells with stringer and ring stiffeners using differential quadrature method,” Mech. Based Des. Struct. Mach., vol. 47, no. 3, pp. 255–282, 2019. DOI: https://doi.org/10.1080/15397734.2018.1545588.
- V. V. Vasiliev, V. A. Barynin and A. F. Rasin, “Anisogrid lattice structures - Survey of development and application,” Compos. Struct., vol. 54, no. 2-3, pp. 361–370, 2001. DOI: https://doi.org/10.1016/S0263-8223(01)00111-8.
- V. V. Vasiliev and A. F. Razin, “Anisogrid composite lattice structures for spacecraft and aircraft applications,” Compos. Struct., vol. 76, no. 1-2, pp. 182–189, 2006. DOI: https://doi.org/10.1016/j.compstruct.2006.06.025.
- S. Kidane, G. Li, J. Helms, S.-S. Pang and E. Woldesenbet, “Buckling load analysis of grid stiffened composite cylinders,” Compos. Part B Eng., vol. 34, no. 1, pp. 1–9, 2003. DOI: https://doi.org/10.1016/S1359-8368(02)00074-4.
- D. S. Ghahfarokhi and G. Rahimi, “An analytical approach for global buckling of composite sandwich cylindrical shells with lattice cores,” Int. J. Solids Struct., vol. 146, pp. 69–79, 2018. DOI: https://doi.org/10.1016/j.ijsolstr.2018.03.021.
- Kostopoulos, T. Kotzakolios, and D. Vlachos, “The buckling response of lattice fuselage structures: validation of finite element models by using smeared unit cell analytical methodology,” J. Aeronaut. Aerosp. Eng., vol. 06, pp. 1–5, 2017. DOI: https://doi.org/10.4172/2168-9792.1000185.
- Y. Xu, Y. Tong, M. Liu and B. Suman, “A new effective smeared stiffener method for global buckling analysis of grid stiffened composite panels,” Compos. Struct., vol. 158, pp. 83–91, 2016. DOI: https://doi.org/10.1016/j.compstruct.2016.09.015.
- B. Wang, K. Tian, P. Hao, Y. Zheng, Y. Ma and J. Wang, “Numerical-based smeared stiffener method for global buckling analysis of grid-stiffened composite cylindrical shells,” Compos. Struct., vol. 152, pp. 807–815, 2016. DOI: https://doi.org/10.1016/j.compstruct.2016.05.096.
- N. Jaunky, N. F. Knight and D. R. Ambur, “Formulation of an improved smeared stiffener theory for buckling analysis of grid-stiffened composite panels,” Compos. Part B Eng., vol. 27, no. 5, pp. 519–526, 1996. DOI: https://doi.org/10.1016/1359-8368(96)00032-7.
- M. Buragohain and R. Velmurugan, “Buckling analysis of composite hexagonal lattice cylindrical shell using smeared stiffener model,” DSJ, vol. 59, no. 3, pp. 230–238, 2009. DOI: https://doi.org/10.14429/dsj.59.1516.
- K. S. Challagulla, A. V. Georgiades and A. L. Kalamkarov, “Asymptotic homogenization modeling of smart composite generally orthotropic grid-reinforced shells: Part I – theory,” Eur. J. Mech. A/Solids, vol. 29, no. 4, pp. 530–540, 2010. DOI: https://doi.org/10.1016/j.euromechsol.2010.03.007.
- A. L. Kalamkarov, I. V. Andrianov and V. V. Danishevs’kyy, “Asymptotic Homogenization of Composite Materials and Structures,” Appl. Mech. Rev., vol. 62, pp. 030802, 2009. DOI: https://doi.org/10.1115/1.3090830.
- L. Friedrich, H. G. Reimerdes and K. U. Schröder, “Sizing strategy for stringer and orthogrid stiffened shells under axial compression,” Int. J. Comput. Methods Eng. Sci. Mech., vol. 18, no. 1, pp. 34–46, 2017. DOI: https://doi.org/10.1080/15502287.2016.1276345.
- M. Buragohain and R. Velmurugan, “Optimal design of filament wound grid-stiffened composite cylindrical structures,” DSJ, vol. 61, no. 1, pp. 88–94, 2011. DOI: https://doi.org/10.14429/dsj.61.482.
- F. Sun, H. Fan, C. Zhou and D. Fang, “Equivalent analysis and failure prediction of quasi-isotropic composite sandwich cylinder with lattice core under uniaxial compression,” Compos. Struct., vol. 101, pp. 180–190, 2013. DOI: https://doi.org/10.1016/j.compstruct.2013.02.005.
- G. Totaro, “Local buckling modelling of isogrid and anisogrid lattice cylindrical shells with triangular cells,” Compos. Struct., vol. 94, no. 2, pp. 446–452, 2012. DOI: https://doi.org/10.1016/j.compstruct.2011.08.002.
- G. Totaro, “Local buckling modelling of isogrid and anisogrid lattice cylindrical shells with hexagonal cells,” Compos. Struct., vol. 95, pp. 403–410, 2013. DOI: https://doi.org/10.1016/j.compstruct.2012.07.011.
- G. Totaro, “Flexural, torsional, and axial global stiffness properties of anisogrid lattice conical shells in composite material,” Compos. Struct., vol. 153, pp. 738–745, 2016. DOI: https://doi.org/10.1016/j.compstruct.2016.06.072.
- V. G. Belardi, P. Fanelli and F. Vivio, “Structural analysis and optimization of anisogrid composite lattice cylindrical shells,” Compos. Part B Eng., vol. 139, pp. 203–215, 2018. DOI: https://doi.org/10.1016/j.compositesb.2017.11.058.
- V. G. Belardi, P. Fanelli and F. Vivio, “Design, analysis and optimization of anisogrid composite lattice conical shells,” Compos. Part B Eng., vol. 150, pp. 184–195, 2018. DOI: https://doi.org/10.1016/j.compositesb.2018.05.036.
- E. V. Morozov, A. V. Lopatin and V. A. Nesterov, “Buckling analysis and design of anisogrid composite lattice conical shells,” Compos. Struct., vol. 93, no. 12, pp. 3150–3162, 2011. DOI: https://doi.org/10.1016/j.compstruct.2011.06.015.
- E. V. Morozov, A. V. Lopatin and V. A. Nesterov, “Finite-element modelling and buckling analysis of anisogrid composite lattice cylindrical shells,” Compos. Struct., vol. 93, no. 2, pp. 308–323, 2011. DOI: https://doi.org/10.1016/j.compstruct.2010.09.014.
- A. V. Lopatin, E. V. Morozov and A. V. Shatov, “Buckling of uniaxially compressed composite anisogrid lattice cylindrical panel with clamped edges,” Compos. Struct., vol. 160, pp. 765–772, 2017. DOI: https://doi.org/10.1016/j.compstruct.2016.10.055.
- C. Lai, J. Wang and C. Liu, “Parameterized Finite Element Modeling and Buckling Analysis of Six Typical Composite Grid Cylindrical Shells,” Appl Compos Mater., vol. 21, no. 5, pp. 739–758, 2014. DOI: https://doi.org/10.1007/s10443-013-9376-x.
- M. Ren, T. Li, Q. Huang and B. Wang, “Numerical investigation into the buckling behavior of advanced grid stiffened composite cylindrical shell,” J. Reinf. Plast. Compos., vol. 33, no. 16, pp. 1508–1519, 2014. DOI: https://doi.org/10.1177/0731684414537881.
- A. Shitanaka, T. Aoki and T. Yokozeki, “Comparison of buckling loads of hyperboloidal and cylindrical lattice structures,” Compos. Struct., vol. 207, pp. 877–888, 2019. DOI: https://doi.org/10.1016/j.compstruct.2018.09.052.
- H. Ahmadi and K. Foroutan, “Nonlinear vibration of stiffened multilayer FG cylindrical shells with spiral stiffeners rested on damping and elastic foundation in thermal environment,” Thin-Walled Struct., vol. 145, pp. 106388, 2019. DOI: https://doi.org/10.1016/j.tws.2019.106388.
- Y. Zhou, K. Tian, S. Xu and B. Wang, “Two-scale buckling topology optimization for grid-stiffened cylindrical shells,” Thin-Walled Struct., vol. 151, pp. 106725, 2020. DOI: https://doi.org/10.1016/j.tws.2020.106725.
- M. Bohlooly, M. A. Kouchakzadeh, B. Mirzavand and M. Noghabi, “Buckling and postbuckling of advanced grid stiffened truncated conical shells with laminated composite skins,” Thin-Walled Struct., vol. 149, pp. 106528, 2020. DOI: https://doi.org/10.1016/j.tws.2019.106528.
- M. Yazdani, H. Rahimi, A. Afaghi Khatibi, S. Hamzeh, et al.pdf., “An experimental investigation into the buckling of GFRP stiffened shells under axial loading,” Sci. Res. Essays, vol. 4, pp. 914–920, 2009. http://www.academicjournals.org/SRE/PDF/pdf2009/Sep/Yazdani.
- E. Frulloni, J. M. Kenny, P. Conti and L. Torre, “Experimental study and finite element analysis of the elastic instability of composite lattice structures for aeronautic applications,” Compos. Struct., vol. 78, no. 4, pp. 519–528, 2007. DOI: https://doi.org/10.1016/j.compstruct.2005.11.013.
- M. Hao, Y. Hu, B. Wang and S. Liu, “Mechanical behavior of natural fiber-based isogrid lattice cylinder,” Compos. Struct., vol. 176, pp. 117–123, 2017. DOI: https://doi.org/10.1016/j.compstruct.2017.05.028.
- Y.-L. Guo, B.-L. Zhu, P. Zhou, Y.-H. Zhang and Y.-L. Pi, “Experimental and numerical investigation into the load resistance and hysteretic response of rhombic grid hyperboloid-latticed shells,” Eng. Struct., vol. 153, pp. 700–716, 2017. DOI: https://doi.org/10.1016/j.engstruct.2017.10.061.
- Y.-L. Guo, Y.-H. Zhang, B.-L. Zhu, P. Zhou and Y.-L. Pi, “Experimental and numerical studies of instability mechanism and load resistance of rhombic grid hyperboloid-latticed shells under vertical load,” Eng. Struct., vol. 166, pp. 167–186, 2018. DOI: https://doi.org/10.1016/j.engstruct.2018.03.069.
- M. Li and H. Fan, “Multi-failure analysis of composite Isogrid stiffened cylinders,” Compos. Part A Appl. Sci. Manuf., vol. 107, pp. 248–259, 2018. DOI: https://doi.org/10.1016/j.compositesa.2018.01.010.
- M. Li, et al., “Fabrication and testing of composite hierarchical Isogrid stiffened cylinder,” Compos. Sci. Technol, vol. 157, pp. 152–159, 2018., DOI: https://doi.org/10.1016/j.compscitech.2018.01.040.
- A. C. Ugural, “Stresses,” In Beams, Plates, and Shells, 3rd ed., New York: CRC Press, 2010
- COMSOL, COMSOL Multiphysics User Guide, 2018.