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Nonlinear Bending Study of Composite Singly Curved Stiffened Shells with Complicated Boundary Conditions

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Mechanics of Composite Materials Aims and scope

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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References

  1. 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).

    Article  Google Scholar 

  2. 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).

    Article  Google Scholar 

  3. 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).

    Google Scholar 

  4. 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).

    Article  CAS  Google Scholar 

  5. 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).

    Article  Google Scholar 

  6. 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).

    Article  Google Scholar 

  7. 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).

    Article  Google Scholar 

  8. P. Ribeiro and S. Stoykov, “Forced periodic vibrations of cylindrical shells in laminated composites with curvilinear fibres,”, Compos. Struct. 131, 462-478 (2015).

    Article  Google Scholar 

  9. 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).

  10. A. K. Chaubey, A. Kumar, and A. Chakrabarti, “Vibration of laminated composite shells with cutouts and concentrated mass,” AIAA J., 56, 1662-1678 (2018).

    Article  Google Scholar 

  11. 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).

    Article  CAS  Google Scholar 

  12. 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).

    Article  Google Scholar 

  13. 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).

    Article  Google Scholar 

  14. S. Goswami and M. Mukhopadhyay, “Finite element analysis of laminated composite stiffened shell,” J. Reinf. Plast. Comp., 13, 574-616 (1994).

    Article  Google Scholar 

  15. S. Goswami and M. Mukhopadhyay, “Geometrically Nonlinear Analysis of Laminated Composite Stiffened Shells,” J. Reinf. Plast. Comp., 14, 1317-1336 (1995).

    Article  CAS  Google Scholar 

  16. 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).

    Article  Google Scholar 

  17. 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).

    Article  Google Scholar 

  18. 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).

    Article  Google Scholar 

  19. 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).

    Article  Google Scholar 

  20. J. L. Sanders Jr, “Nonlinear theories for thin shells,” Q. Appl. Math., 21, 21-36 (1963).

    Article  Google Scholar 

  21. J. N. Reddy, An Introduction to Nonlinear Finite-Element Analysis, Oxford University Press, New York (2004).

    Book  Google Scholar 

  22. K. Bakshi and D. Chakravorty, “Geometrically linear and nonlinear first-ply failure loads of composite cylindrical shells,” J. Eng. Mech., 140, 04014094 (2014).

    Article  Google Scholar 

  23. K. Bakshi and D. Chakravorty, “Relative static and dynamic performances of composite conoidal shell roofs,” Steel Compos. Struct., 15, 379-397 (2013).

    Article  Google Scholar 

  24. B. Chattopadhyay, P. K. Sinha, and M. Mukhopadhyay, “Geometrically nonlinear analysis of composite stiffened plates using finite elements,” Compos. Struct., 31, 107-118 (1995).

    Article  Google Scholar 

  25. 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).

    Article  Google Scholar 

  26. J. N. Reddy, “Exact solution of moderately thick laminated shells,” J. Eng. Mech., 110, 794-809 (1984).

    Article  Google Scholar 

  27. A. N. Palazotto and S. T. Dennis, Nonlinear Analysis of Shell Structures, AIAA Education Series Washington DC (1992).

  28. S. N. Patel, “Nonlinear bending analysis of laminated composite stiffened plates,” Steel Compos. Struct., 17, 867-890 (2014).

    Article  Google Scholar 

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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

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