Techno Press

Steel and Composite Structures   Volume 20, Number 5, April10 2016, pages 1043-1069
Static analysis of laminated and sandwich composite doubly-curved shallow shells
Veysel Alankaya and Ahmet Sinan Oktem

Abstract     [Full Text]
    A new analytical solution based on a third order shear deformation theory for the problem of static analysis of cross-ply doubly-curved shells is presented. The boundary-discontinuous generalized double Fourier series method is used to solve highly coupled linear partial differential equations with the mixed type simply supported boundary conditions prescribed on the edges. The complementary boundary constraints are introduced through boundary discontinuities generated by the selected boundary conditions for the derivation of the complementary solution. The numerical accuracy of the solution is compared by studying the comparisons of deflections, stresses and moments of symmetric and anti-symmetric laminated shells with finite element results using commercially available software under uniformly distributed load. Results are in good agreement with finite element counterparts. Additional results of the symmetric and anti-symmetric laminated and sandwich shells under single point load at the center and pressure load, are presented to provide data for the unsolved boundary conditions, benchmark comparisons and verifications.
Key Words
    analytical solution; cross-ply shells; sandwich shells; boundary discontinuous Fourier analysis; higher order shear deformation theory; mixed simply supported
(1) Veysel Alankaya:
Department of Naval Architecture, Turkish Naval Academy, Tuzla 34942, Istanbul, Turkey;
(2) Ahmet Sinan Oktem:
Department of Mechanical Engineering, Gebze Technical University, Gebze 41400, Kocaeli, Turkey.

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