Hrh. Kabir, ANTI-SYMMETRICAL ANGLE-PLY LAMINATED THICK CYLINDRICAL PANELS, International journal of solids and structures, 35(28-29), 1998, pp. 3717-3735
Hither-to-fore an unavailable analytical solution (strong form or diff
erential form) to the boundary-value problem of advanced fiber reinfor
ced anti-symmetric angle-ply laminated cylindrical panels of rectangul
ar planform subjected to static loadings is presented. A variationally
consistent higher shell theory is utilized that generates five highly
coupled fourth order partial differential equations in five unknowns,
three displacements, and two rotations. A boundary continuous double
Fourier series-based solution functions is assumed to solve such equat
ions in conjunction with the admissible boundary conditions. The numer
ical results constitute the study of convergence of displacements, in-
plane forces, and moments; and spatial variations of them presented in
the form of contour plotting for various parametric effects. These, h
ither-to unavailable solutions, and analytically obtained numerical re
sults should serve as bench-marks for future comparisons of popular ap
proximate methods (integral form or weak form), such as finite element
, boundary element, finite difference, Galerkin approach, Rayleigh-Rit
z, collocation, least-squares methods, and experimental results, etc.
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