Strength of Steel Shell Cylindrical Panels Reinforced with an ‎Orthogonal Grid of Stiffeners

[1] Bischoff, M., Bletzinger, K.-U., Wall, W.A., Ramm, E., Models and Finite Elements for Thin-Walled Structures, In: Encyclopedia of Computational Mechanics, ed. Stein E., de Borst R., Hughes T.J.R. Chichester, UK: John Wiley & Sons, Ltd, 2004, 59–137. DOI: 10.1002/0470091355.ecm026.

[2] Godoy, L.A., Thin-Walled Structures with Structural Imperfections, Elsevier, 1996. DOI: 10.1016/B978-0-08-042266-4.X5000-3.

[3] Mamalis, A.G., Manolakos, D.E., Demosthenous, G.A., Ioannidis M.B., Crashworthiness of composite thin-walled structural components, Boca Raton; London; New York: CRC Press, Taylor & Francis Group, 2019.

[4] Fragassa, C., Minak, G., Pavlovic, A., Measuring deformations in the telescopic boom under static and dynamic load conditions, Facta Universitatis-Series Mechanical Engineering, 18(2), 2020, 315–328. DOI: 10.22190/FUME181201001F.

[5] Jaunky, N., Knight, N.F., Ambur, D.R., Formulation of an improved smeared stiffener theory for buckling analysis of grid-stiffened composite panels, Composites Part B: Engineering, 27(5), 1996, 519–526. DOI: 10.1016/1359-8368(96)00032-7.

[6] Kidane, S., Li, G., Helms, J., Pang, S.-S., Woldesenbet, E., Buckling load analysis of grid stiffened composite cylinders, Composites Part B: Engineering, 34(1), 2003, 1–9. DOI: 10.1016/S1359-8368(02)00074-4.

[7] Wang, J.T.-S., Hsu, T.-M., Discrete analysis of stiffened composite cylindrical shells, AIAA Journal, 23(11), 1985, 1753–1761. DOI: 10.2514/3.9162.

[8] Meish, V.F., Meish, Yu.A., Pavlyuk, A.V., Dynamics of a Three-Layer Elliptic Cylindrical Shell Reinforced with Discrete Rings, International Applied Mechanics, 54(2), 2018, 172–179. DOI: 10.1007/s10778-018-0869-z.

[9] Qu, Y., Wu, S., Chen, Y., Hua, H., Vibration analysis of ring-stiffened conical-cylindrical-spherical shells based on a modified variational approach, International Journal of Mechanical Sciences, 69, 2013, 72–84. DOI: 10.1016/j.ijmecsci.2013.01.026.

[10] Sadeghifar, M., Bagheri, M., Jafari, A.A., Buckling analysis of stringer-stiffened laminated cylindrical shells with nonuniform eccentricity, Archive of Applied Mechanics, 81(7), 2011, 875–886. DOI: 10.1007/s00419-010-0457-0.

[11] Talebitooti, M., Ghayour, M., Ziaei-Rad, S., Talebitooti, R., Free vibrations of rotating composite conical shells with stringer and ring stiffeners, Archive of Applied Mechanics, 80(3), 2010, 201–215. DOI: 10.1007/s00419-009-0311-4.

[12] Troitsky, M.S., Stiffened plates: bending, stability, and vibrations, Elsevier Scientific Pub. Co., Amsterdam; New York, 1976.

[13] Reddy, A.D., Valisetty, R., Rehfield, L.W., Continuous filament wound composite concepts for aircraft fuselage structures, Journal of Aircraft, 22(3), 1985, 249–255. DOI: 10.2514/3.45115.

[14] Dung, D.V., Chan, D.Q., Analytical investigation on mechanical buckling of FGM truncated conical shells reinforced by orthogonal stiffeners based on FSDT, Composite Structures, 159, 2017, 827–841. DOI: 10.1016/j.compstruct.2016.10.006.

[15] Tu, T.M., Loi, N.V., Vibration Analysis of Rotating Functionally Graded Cylindrical Shells with Orthogonal Stiffeners, Latin American Journal of Solids and Structures, 13(15), 2016, 2952–2969. DOI: 10.1590/1679-78252934.

[16] Lanzo, A.D., Garcea, G., Koiter’s analysis of thin-walled structures by a finite element approach, International Journal for Numerical Methods in Engineering, 39(17), 1996, 3007–3031. DOI: 10.1002/(SICI)1097-0207(19960915)39:17<3007::AID-NME991>3.0.CO;2-S.

[17] Pinto, V.T., Oliveira Rocha, L.A., Fragassa, C., Domingues dos Santos, E., Isoldi, L.A., Multiobjective Geometric Analysis of Stiffened Plates under ‎Bending through Constructal Design Method, Journal of Applied and Computational Mechanics, 6(SI), 2020, 1438–1449. DOI: 10.22055/jacm.2020.35248.2608.

[18] Bai, X., Xu, W., Ren, H., Li, J., Analysis of the influence of stiffness reduction on the load carrying capacity of ring-stiffened cylindrical shell, Ocean Engineering, 135, 2017, 52–62. DOI: 10.1016/j.oceaneng.2017.02.034.

[19] Chen, B., Liu, G., Kang, J., Li, Y., Design optimization of stiffened storage tank for spacecraft, Structural and Multidisciplinary Optimization, 36(1), 2008, 83–92. DOI: 10.1007/s00158-007-0174-7.

[20] Lene, F., Duvaut, G., Olivier-Mailhe, M., Ben Chaabane, S., Grihon, S., An advanced methodology for optimum design of a composite stiffened cylinder, Composite Structures, 91(4), 2009, 392–397. DOI: 10.1016/j.compstruct.2009.04.005.

[21] Reza Ghasemi, A., Tabatabaeian, A., Hadi Hajmohammad, M., Tornabene, F., Multi-Step Buckling Optimization Analysis of Stiffened and Unstiffened Polymer Matrix Composite Shells: A New Experimentally Validated Method, Composite Structures, 273, 2021, 114280. DOI: 10.1016/j.compstruct.2021.114280.

[22] Hao, P., Wang, B., Tian, K., Liu, H., Wang, Y., Niu, F., Zeng, D., Simultaneous buckling design of stiffened shells with multiple cutouts, Engineering Optimization, 49(7), 2017, 1116–1132. DOI: 10.1080/0305215X.2016.1235328.

[23] Wang, J., Li, Z.L., Yu, W., Structural similitude for the geometric nonlinear buckling of stiffened orthotropic shallow spherical shells by energy approach, Thin-Walled Structures, 138, 2019, 430–457. DOI: 10.1016/j.tws.2018.02.006.

[24] Cho, S.-R., Muttaqie, T., Do, Q.T., Park, S.H., Kim, S.M., So, H.Y., Sohn, J.M., Experimental study on ultimate strength of steel-welded ring-stiffened conical shell under external hydrostatic pressure, Marine Structures, 67, 2019, 102634. DOI: 10.1016/j.marstruc.2019.102634.

[25] Duarte, A.P.C., Díaz Sáez, A., Silvestre, N., Comparative study between XFEM and Hashin damage criterion applied to failure of composites, Thin-Walled Structures, 115, 2017, 277–288. DOI: 10.1016/j.tws.2017.02.020.

[26] Brauns, J., Skadins, U., Semi-analytical postbuckling strength analysis of anisotropic shell structures, IOP Conference Series: Materials Science and Engineering, 251, 2017, 012096. DOI: 10.1088/1757-899X/251/1/012096.

[27] Abrosimov, N.A., Novoseltseva, N.A., Computer Modeling of the Dynamic Strength of Metal-Plastic Cylindrical Shells Under Explosive Loading, Mechanics of Composite Materials, 53, 2017, 139–148. DOI: 10.1007/s11029-017-9648-x.

[28] Semenov, A.A., Analysis of the strength of shell structures, made from modern materials, according to various strength criteria, Diagnostics, Resource and Mechanics of Materials and Structures, 2018, 16–33. DOI: 10.17804/2410-9908.2018.1.016-033.

[29] Pavlovic, A., Sintoni, D., Fragassa, C., Minak, G., Multi-Objective Design Optimization of the Reinforced Composite Roof in a Solar Vehicle, Applied Sciences, 10(8), 2020, 2665. DOI: 10.3390/app10082665.

[30] Karpov, V.V., Semenov, A.A., Refined model of stiffened shells, International Journal of Solids and Structures, 199, 2020, 43–56. DOI: 10.1016/j.ijsolstr.2020.03.019.

[31] Li, G., de Miguel, A.G., Pagani, A., Zappino, E., Carrera, E., Finite beam elements based on Legendre polynomial expansions and node-dependent kinematics for the global-local analysis of composite structures, European Journal of Mechanics – A/Solids, 74, 2019, 112–123. DOI: 10.1016/j.euromechsol.2018.11.006.

[32] Yshii, L.N., Santana, R.C., Monteiro, F.A.C., Lucena Neto, E., Buckling of Cylindrical Panels by a Ritz Scheme, Proceedings of the XXXVIII Iberian Latin-American Congress on Computational Methods in Engineering, Brazil, 2017. DOI: 10.20906/CPS/CILAMCE2017-0613.

[33] Feng, K., Xu, J., Buckling Analysis of Composite Cylindrical Shell Panels by Using Legendre Polynomials Hierarchical Finite-Strip Method, Journal of Engineering Mechanics, 143(4), 2017, 04016121. DOI: 10.1061/(ASCE)EM.1943-7889.0001181.

[34] Qu, Y., Long, X., Wu, S., Meng, G., A unified formulation for vibration analysis of composite laminated shells of revolution including shear deformation and rotary inertia, Composite Structures, 98, 2013, 169–191. DOI: 10.1016/j.compstruct.2012.11.001.

[35] Monge, J.C., Mantari, J.L., A quasi-exact solution for the analysis of smart multilayered simply supported shallow shell panels, Composite Structures, 265, 2021, 113710. DOI: 10.1016/j.compstruct.2021.113710.

[36] Qu, Y., Chen, Y., Long, X., Hua, H., Meng, G., A modified variational approach for vibration analysis of ring-stiffened conical-cylindrical shell combinations, European Journal of Mechanics – A/Solids, 37, 2013, 200–215. DOI: 10.1016/j.euromechsol.2012.06.006.

[37] Kurylov, Ye., Amabili, M., Nonlinear vibrations of clamped-free circular cylindrical shells, Journal of Sound and Vibration, 330(22), 2011, 5363–5381. DOI: 10.1016/j.jsv.2011.05.037.

[38] Bakusov, P.A., Semenov, A.A., Stability of Toroidal Shell Segments at Variation of a Deflection Angle, PNRPU Mechanics Bulletin, 3, 2017, 17–36. DOI: 10.15593/perm.mech/2017.3.02. (in Russian)

[39] Semenov, A., Buckling of Shell Panels Made of Fiberglass and Reinforced with an Orthogonal Grid of Stiffeners, Journal of Applied and Computational Mechanics, 7(3), 2021, 1856–1861. DOI: 10.22055/jacm.2021.37768.3078.