I. Sheinman et M. Firer, BUCKLING ANALYSIS OF LAMINATED CYLINDRICAL-SHELLS WITH ARBITRARY NONCIRCULAR CROSS-SECTION, AIAA journal, 32(3), 1994, pp. 648-654
Buckling analysis of laminated cylindrical shells with noncircular cro
ss section of arbitrary closed shape is presented. The equations, in t
erms of the normal displacement and Airy stress function, of the Donne
ll type, are derived via the Hu-Washizu mixed formulation. The curvatu
re, which is a function of the circumferential coordinate, is expanded
in Fourier series. The circumferential dependence is eliminated by a
combination of Fourier expansion and Galerkin's method. The resulting
ordinary differential equations are then reduced to matrix equations b
y the use of finite differences. The configurational aspect is investi
gated parametrically. Unlike the circular cylindrical shells, coupling
of the wave number in the circumferential direction is significantly
high.