The nonlinear bending of transversely loaded thin cylindrical stiffened shell from laminated composite was not investigated in the literature for complicated boundary conditions. The paper aims to fill this gap. A C0 isoparametric finite-element code combining the von Karman nonlinear strains and the first-order shear deformation theory is proposed. Shell strains are studied for various laminations and boundary conditions with nonuniform support restrains and stiffener orientations.
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G. Sinha and M. Mukhopadhyay, “Static, free and forced vibration analysis of arbitrary non-uniform shells with tapered stiffeners,” Comput. Struct., 62, 919-933 (1997).
D. Chakravorty, P. K. Sinha, and J. N. Bandyopadhyay, “Finite element free vibration analysis of point supported laminated composite cylindrical shells,” J. Sound Vib., 181, 43-52 (1995).
A. Dogan and H. M. Arslan, “Effects of curvature on free vibration characteristics of laminated composite cylindrical shallow shells,” Sci. Res. Essays., 4, 226-238 (2009).
A. K. Acharyya, D. Chakravorty, and A. Karmakar, “Natural frequencies and mode shapes of composite cylindrical delaminated shells by finite element,” J. Reinf. Plast. Comp., 29, 226-237 (2010).
H. S. Turkmen, “Structural response of laminated composite shells subjected to blast loading: comparison of experimental and theoretical methods,” J. Sound Vib., 249, 663-678 (2002).
W. H. Lee and S. C. Han, “Free and forced vibration analysis of laminated composite plates and shells using a 9-node assumed strain shell element,” Comput. Mech., 39, 41-58 (2006).
N. Nanda and J. N. Bandyopadhyay, “Geometrically nonlinear transient analysis of laminated composite shells using the finite element method,” J. Sound Vib., 325, 174-185 (2009).
P. Ribeiro and S. Stoykov, “Forced periodic vibrations of cylindrical shells in laminated composites with curvilinear fibres,”, Compos. Struct. 131, 462-478 (2015).
M. Biswal, S. K. Sahu, and A. V. Asha, “Vibration of composite cylindrical shallow shells subjected to hygrothermal loading-experimental and numerical results,” Compos., Part B., 98, 108-119 (2016).
A. K. Chaubey, A. Kumar, and A. Chakrabarti, “Vibration of laminated composite shells with cutouts and concentrated mass,” AIAA J., 56, 1662-1678 (2018).
S. Chakraborty, T. Dey, and R. Kumar, “Stability and vibration analysis of CNT-reinforced functionally graded laminated composite cylindrical shell panels using semi-analytical approach,” Compos., Part B, 168, 1-14 (2019).
A. G. Arani, F. Kiani, and H. Afshari, “Free and forced vibration analysis of laminated functionally graded CNT reinforced composite cylindrical panels,” J. Sandw. Struct. Mater., 23, 255-278 (2019).
C. I. Liao and J. N. Reddy, “Analysis of anisotropic, stiffened composite laminates using a continuum-based shell element,” Comput. Struct., 34, 805-815 (1990).
S. Goswami and M. Mukhopadhyay, “Finite element analysis of laminated composite stiffened shell,” J. Reinf. Plast. Comp., 13, 574-616 (1994).
S. Goswami and M. Mukhopadhyay, “Geometrically Nonlinear Analysis of Laminated Composite Stiffened Shells,” J. Reinf. Plast. Comp., 14, 1317-1336 (1995).
D. H. Bich, D. V. Dung, and V. H. Nam, “Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels,” Compos. Struct., 94, 2465-2473 (2012).
D. Li, G. Qing and Y. Liu, “A layerwise/solid-element method for the composite stiffened laminated cylindrical shell structures,” Compos. Struct., 98, 215-227 (2013).
X. Ou, X. Yao, R. Zhang, X. Zhang, and Q. Han, “Nonlinear dynamic response analysis of cylindrical composite stiffened laminates based on the weak form quadrature element method,” Compos. Struct., 203, 446-457 (2018).
O. Temami, A. Ayoub, D. Hamadi, and I. Bennoui, “Effect of boundary conditions on the behavior of stiffened and unstiffened cylindrical shells,” Int. J. Steel Struct., 19, 867-878 (2019).
J. L. Sanders Jr, “Nonlinear theories for thin shells,” Q. Appl. Math., 21, 21-36 (1963).
J. N. Reddy, An Introduction to Nonlinear Finite-Element Analysis, Oxford University Press, New York (2004).
K. Bakshi and D. Chakravorty, “Geometrically linear and nonlinear first-ply failure loads of composite cylindrical shells,” J. Eng. Mech., 140, 04014094 (2014).
K. Bakshi and D. Chakravorty, “Relative static and dynamic performances of composite conoidal shell roofs,” Steel Compos. Struct., 15, 379-397 (2013).
B. Chattopadhyay, P. K. Sinha, and M. Mukhopadhyay, “Geometrically nonlinear analysis of composite stiffened plates using finite elements,” Compos. Struct., 31, 107-118 (1995).
K. Bakshi, “A numerical study on nonlinear bending performance of transversely loaded composite singly curved stiffened surfaces,” J. Strain Anal. Eng. Des., 56, 430-442 (2021).
J. N. Reddy, “Exact solution of moderately thick laminated shells,” J. Eng. Mech., 110, 794-809 (1984).
A. N. Palazotto and S. T. Dennis, Nonlinear Analysis of Shell Structures, AIAA Education Series Washington DC (1992).
S. N. Patel, “Nonlinear bending analysis of laminated composite stiffened plates,” Steel Compos. Struct., 17, 867-890 (2014).
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Bakshi, K. Nonlinear Bending Study of Composite Singly Curved Stiffened Shells with Complicated Boundary Conditions. Mech Compos Mater 59, 659–676 (2023). https://doi.org/10.1007/s11029-023-10123-9
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DOI: https://doi.org/10.1007/s11029-023-10123-9