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Volume :25 Issue : 1 1998      Add To Cart                                                                    Download

Analytical solution to cylindrical panel with higher order theory

Auther : H.R.H. KABIR* AND J.A. AL-DUAIJ

 Department of Civil Engineering, Kuwait University, P.O. Box: 5969, Safat, 13060, Kuwait University E-Mail: Humayun@kuc01.kuniv.edu.kw

ABSTRACT

A previously unavailable analytical solution to a cylindrical panel of rectangular planform fabricated with an isotropic material and subjected to static loadings is presented.  A variationally consistent higher order shell theory that generates five highly coupled fourth order partial differential equations in five unknowns is utilized.  A mixed set of double Fourier series-based solution functions (boundary continuous and boundary discontinuous) is assumed to solve such equations in conjunction with the admissible boundary conditions (fully-restrained simply supported).  The numerical results thus presented constitute the study of convergence of displacements, and moments; and spatial variations of them are presented in the form of contour plotting for various parametric effects.  These, previously unavailable, analytically obtained numerical results should serve as base-line solutions for future comparisons of popular approximate methods such as finite element, finite difference, Galerkin approach, Rayleigh-Ritz method, collocation method, least-squares method, experimental results, etc.

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