[1] Sowiński, K., The Ritz method application for stress and deformation analyses of standard orthotropic pressure vessels, Thin-Walled Structures, 162, 2021, 107585. DOI: 10.1016/j.tws.2021.107585.
[2] Radchenko, P.A., Batuev, S.P., Radchenko, A.V., Plevkov, V.S., Numerical modeling of the destruction of a shell made of concrete and fiber-reinforced concrete under impulse action, Omsk Scientific Bulletin, 3(143), 2015, 345–348. (in Russian)
[3] Raeesi, A., Ghaednia, H., Zohrehheydariha, J., Das, S., Failure analysis of steel silos subject to wind load, Engineering Failure Analysis, 79, 2017, 749–761. DOI: 10.1016/j.engfailanal.2017.04.031.
[4] Amabili, M., Non-linearities in rotation and thickness deformation in a new third-order thickness deformation theory for static and dynamic analysis of isotropic and laminated doubly curved shells, International Journal of Non-Linear Mechanics, 69, 2015, 109–128. DOI: 10.1016/j.ijnonlinmec.2014.11.026.
[5] Xie, K., Chen, M., Zhang, L., Xie, D., Free and forced vibration analysis of non-uniformly supported cylindrical shells through wave based method, International Journal of Mechanical Sciences, 128–129, 2017, 512–526. DOI: 10.1016/j.ijmecsci.2017.05.014.
[6] Dey, T., Ramachandra, L.S., Static and dynamic instability analysis of composite cylindrical shell panels subjected to partial edge loading, International Journal of Non-Linear Mechanics, 64, 2014, 46–56. DOI: 10.1016/j.ijnonlinmec.2014.03.014.
[7] Hao, Y.X., Li, Z.N., Zhang, W., Li, S.B., Yao, M.H., Vibration of functionally graded sandwich doubly curved shells using improved shear deformation theory, Science China Technological Sciences, 61(6), 2018, 791–808. DOI: 10.1007/s11431-016-9097-7.
[8] Krysko, A.V., Awrejcewicz, J., Saltykova, O.A., Vetsel, S.S., Krysko, V.A., Nonlinear dynamics and contact interactions of the structures composed of beam-beam and beam-closed cylindrical shell members, Chaos, Solitons & Fractals, 91, 2016, 622–638. DOI: 10.1016/j.chaos.2016.09.001.
[9] Gonçalves, P.B., Silva, F.M.A., Del Prado, Z.J.G.N., Reduced Order Models for the Nonlinear Dynamic Analysis of Shells, Procedia IUTAM, 19, 2016, 118–125. DOI: 10.1016/j.piutam.2016.03.016.
[10] Leonenko, D.V., Starovoitov, E.I., Vibrations of Cylindrical Sandwich Shells with Elastic Core under Local Loads, International Applied Mechanics, 52(4), 2016, 359–367. DOI: 10.1007/s10778-016-0760-8.
[11] Lee, Y.-S., Kim, Y.-W., Effect of boundary conditions on natural frequencies for rotating composite cylindrical shells with orthogonal stiffeners, Advances in Engineering Software, 30(9-11), 1999, 649–655. DOI: 10.1016/S0965-9978(98)00115-X.
[12] Mustafa, B.A.J., Ali, R., An energy method for free vibration analysis of stiffened circular cylindrical shells, Computers & Structures, 32(2), 1989, 355–363. DOI: 10.1016/0045-7949(89)90047-3.
[13] 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.
[14] Wang, C.M., Swaddiwudhipong, S., Tian, J., Ritz Method for Vibration Analysis of Cylindrical Shells with Ring Stiffeners, Journal of Engineering Mechanics, 123(2), 1997, 134–142. DOI: 10.1061/(ASCE)0733-9399(1997)123:2(134).
[15] 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.
[16] Zhao, X., Liew, K.M., Ng, T.Y., Vibrations of rotating cross-ply laminated circular cylindrical shells with stringer and ring stiffeners, International Journal of Solids and Structures, 39(2), 2002, 529–545. DOI: 10.1016/S0020-7683(01)00194-9.
[17] Jafari, A.A., Bagheri, M., Free vibration of non-uniformly ring stiffened cylindrical shells using analytical, experimental and numerical methods, Thin-Walled Structures, 44(1), 2006, 82–90. DOI: 10.1016/j.tws.2005.08.008.
[18] Khalmuradov, R.I., Ismoilov, E.A., Nonlinear vibrations of a circular plate reinforced by ribs, IOP Conf. Ser.: Earth Environ. Sci., 614, 2020, 012071. DOI: 10.1088/1755-1315/614/1/012071.
[19] Peng-Cheng, S., Dade, H., Zongmu, W., Static, vibration and stability analysis of stiffened plates using B spline functions, Computers & Structures, 27(1), 1987, 73–78. DOI: 10.1016/0045-7949(87)90182-9.
[20] Dung, D.V., Nam, V.H., An analytical approach to analyze nonlinear dynamic response of eccentrically stiffened functionally graded circular cylindrical shells subjected to time dependent axial compression and external pressure. Part 2: Numerical results and discussion, Vietnam Journal of Mechanics, 36(4), 2014, 255–265. DOI: 10.15625/0866-7136/36/4/3986.
[21] Azarboni, H.R., Ansari, R., Nazarinezhad, A., Chaotic dynamics and stability of functionally graded material doubly curved shallow shells, Chaos, Solitons & Fractals, 109, 2018, 14–25. DOI: 10.1016/j.chaos.2018.02.011.
[22] Bich, D.H., Long, V.D., Non-linear dynamical analysis of imperfect functionally graded material shallow shells, Vietnam Journal of Mechanics, 32(1), 2010, 1–14. DOI: 10.15625/0866-7136/32/1/312.
[23] del Prado, Z., Gonçalves, P.B., Païdoussis, M.P., Non-linear vibrations and instabilities of orthotropic cylindrical shells with internal flowing fluid, International Journal of Mechanical Sciences, 52(11), 2010, 1437–1457. DOI: 10.1016/j.ijmecsci.2010.03.016.
[24] Jansen, E.L., Dynamic Stability Problems of Anisotropic Cylindrical Shells via a Simplified Analysis, Nonlinear Dynamics, 39(4), 2005, 349–367. DOI: 10.1007/s11071-005-4343-1.
[25] Chamis, C.C., Dynamic Buckling and Postbuckling of a Composite Shell, International Journal of Structural Stability and Dynamics, 10(4), 2010, 791–805. DOI: 10.1142/S0219455410003749.
[26] Kubenko, V.D., Koval’chuk, P.S., Nonlinear problems of the dynamics of elastic shells partially filled with a liquid, International Applied Mechanics, 36(4), 2000, 421–448. DOI: 10.1007/BF02681969.
[27] Xin, J., Wang, J., Yao, J., Han, Q., Vibration, Buckling and Dynamic Stability of a Cracked Cylindrical Shell with Time-Varying Rotating Speed, Mechanics Based Design of Structures and Machines, 39(4), 2011, 461–490. DOI: 10.1080/15397734.2011.569301.
[28] Gao, K., Gao, W., Wu, D., Song, C., Nonlinear dynamic stability of the orthotropic functionally graded cylindrical shell surrounded by Winkler-Pasternak elastic foundation subjected to a linearly increasing load, Journal of Sound and Vibration, 415, 2018, 147–168. DOI: 10.1016/j.jsv.2017.11.038.
[29] Lavrenčič, M., Brank, B., Simulation of shell buckling by implicit dynamics and numerically dissipative schemes, Thin-Walled Structures, 132, 2018, 682–699. DOI: 10.1016/j.tws.2018.08.010.
[30] Li, Z.-M., Liu, T., Qiao, P., Nonlinear vibration and dynamic instability analyses of laminated doubly curved panels in thermal environments, Composite Structures, 267, 2021, 113434. DOI: 10.1016/j.compstruct.2020.113434.
[31] Zhou, Y., Stanciulescu, I., Eason, T., Spottswood, M., Fast approximations of dynamic stability boundaries of slender curved structures, International Journal of Non-Linear Mechanics, 95, 2017, 47–58. DOI: 10.1016/j.ijnonlinmec.2017.06.002.
[32] Ren, S., Song, Y., Zhang, A.-M., Wang, S., Li, P., Experimental study on dynamic buckling of submerged grid-stiffened cylindrical shells under intermediate-velocity impact, Applied Ocean Research, 74, 2018, 237–245. DOI: 10.1016/j.apor.2018.02.018.
[33] Patel, S.N., Datta, P.K., Sheikh, A.H., Buckling and dynamic instability analysis of stiffened shell panels, Thin-Walled Structures, 44(3), 2006, 321–333. DOI: 10.1016/j.tws.2006.03.004.
[34] Amiro, I.Ya., Zarutskii, V.A., Stability of ribbed shells, Soviet Applied Mechanics, 19(11), 1983, 925–940. DOI: 10.1007/BF01362647.
[35] 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.
[36] Huang, S., Qiao, P., A new semi-analytical method for nonlinear stability analysis of stiffened laminated composite doubly-curved shallow shells, Composite Structures, 251, 2020, 112526. DOI: 10.1016/j.compstruct.2020.112526.
[37] Ghasemi, A.R., Tabatabaeian, A., Hajmohammad, M.H., 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.
[38] Dai, Q., Cao, Q., Parametric instability analysis of truncated conical shells using the Haar wavelet method, Mechanical Systems and Signal Processing, 105, 2018, 200–213. DOI: 10.1016/j.ymssp.2017.12.004.
[39] Polat, C., Calayir, Y., Nonlinear static and dynamic analysis of shells of revolution, Mechanics Research Communications, 37(2), 2010, 205–209. DOI: 10.1016/j.mechrescom.2009.12.009.
[40] Storozhuk, E.A., Yatsura, A.V., Analytical-Numerical Solution of Static Problems for Noncircular Cylindrical Shells of Variable Thickness, International Applied Mechanics, 53(3), 2017, 313–325. DOI: 10.1007/s10778-017-0813-7.
[41] Karpov, V., Variational method for derivation of equations of mixed type for shells of a general type, Architecture and Engineering, 1(2), 2016, 43–48. DOI: 10.23968/2500-0055-2016-1-2-43-48.
[42] Abrosimov, N.A., Novosel’tseva, N.A., Computer Modeling of the Dynamic Strength of Metal-Plastic Cylindrical Shells Under Explosive Loading, Mechanics of Composite Materials, 53(2), 2017, 139–148. DOI: 10.1007/s11029-017-9648-x.
[43] Hao, P., Liu, D., Zhang, K., Yuan, Y., Wang, B., Li, G., Zhang, X., Intelligent layout design of curvilinearly stiffened panels via deep learning-based method, Materials & Design, 197, 2021, 109180. DOI: 10.1016/j.matdes.2020.109180.
[44] Hao, P., Yuan, X., Liu, C., Wang, B., Liu, H., Li, G., Niu, F., An integrated framework of exact modeling, isogeometric analysis and optimization for variable-stiffness composite panels, Computer Methods in Applied Mechanics and Engineering, 339, 2018, 205–238. DOI: 10.1016/j.cma.2018.04.046.
[45] 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.
[46] 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.
[47] Semenov, A., Mathematical model of deformation of orthotropic shell structures under dynamic loading with transverse shears, Computers & Structures, 221, 2019, 65–73. DOI: 10.1016/j.compstruc.2019.05.017.
[48] Semenov, A.A., Models of Deformation of Stiffened Orthotropic Shells under Dynamic Loading, Journal of Siberian Federal University, Mathematics & Physics, 9(4), 2016, 485–497. DOI: 10.17516/1997-1397-2016-9-4-485-497.
[49] Li, P., Wang, H., A novel strategy for the crossarm length optimization of PSSCs based on multi-dimensional global optimization algorithms, Engineering Structures, 238, 2021, 112238. DOI: 10.1016/j.engstruct.2021.112238.