Abstract
In the present work, analytical solutions for laminated composite doubly curved panels on rectangular plan form undergoing small deformations and subjected to uniformly distributed transverse load have been obtained. The problem is formulated using first order shear deformation theory. The spatial descretization of the linear differential equations is carried out using fast converging finite double Chebyshev series. The effect of panel thickness, curvature, boundary conditions, lamination scheme as well as material property on the static response of panel has been investigated in detail.
Similar content being viewed by others
References
Chaudhury R A, Abu-Arja K R. Exact solution of shear-flexible doubly curved anti-symmetric angle-ply shells. J Eng Sci, 1988, 26: 587–560
Chaudhury R A, Kabir H R H. On analytical solutions to boundary-value problems of doubly-curved moderately-thick orthotropic shells. J Eng Sci, 1989, 27: 1325–1336
Fan J, Zhang J. Analytical solutions for thick, doubly curved, laminated shells. J Eng Mech, 1992, 118: 1338–1356
Sai Ram K S, Sreedhar Babu T. Study of bending of laminated composite shells. Part I: Shells without a cutout. Composite Struct, 2001, 51: 103–116
Khare R K, Kant T, Garg A K. Closed-form thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells. Composite Struct, 2003, 59: 313–340
Ferreira A J M, Roque C M C, Jorge R M N. Static and free vibration analysis of composite shells by radial basis functions. Eng Anal Boundary Elements, 2006, 30: 719–733
Park T, Kim K, Han S. Linear static and dynamic analysis of laminated composite plates and shells using a 4-node quasi-conforming shell element. Composite-Part B. 2006, 37: 37–248
Oktem A S, Chaudhuri R A. Fourier analysis of thick cross-ply Levy type clamped doubly-curved panels. Composite Struct, 2007, 80: 489–503
Sladek J, Sladek V, Krivacek J, et al. Local boundary integral equations for orthotropic shallow shells. Int J Solids Struct, 2007, 44: 2285–2303
Albuquerque E L, Aliabadi M H. A boundary element analysis of symmetric laminated composite shallow shells. Comput Methods Appl Mech Eng, 2010, 199: 2663–2668
Ferreira A J M, Castro L M, Bertoluzza S. A wavelet collocation approach for the analysis of laminated shells. Composites-Part B, 2011, 42: 99–104
Fox L, Parker I B. Chebyshev Polynomials in Numerical Analysis. Oxford: Oxford University Press, 1968
Nath Y, Shukla K K. Non-linear transient analysis of moderately thick laminated composite plates. J Sound Vib, 2001, 247(3): 509–526
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sharma, A., Upadhyay, A.K. & Shukla, K.K. Flexural response of doubly curved laminated composite shells. Sci. China Phys. Mech. Astron. 56, 812–817 (2013). https://doi.org/10.1007/s11433-013-5020-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11433-013-5020-x