Vol. 5, No. 6, 2010

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ISSN: 1559-3959
A semianalytical solution for the bending of clamped laminated doubly curved or spherical panels

Kasra Bigdeli and Mohammad Mohammadi Aghdam

Vol. 5 (2010), No. 6, 855–873
Abstract

A semianalytical solution is presented for bending of moderately thick fully clamped laminated doubly curved panels using the extended Kantorovich method (EKM). The panel is subjected to uniform and nonuniform distributed loading and cut from a rectangular platform. Based on the first-order shear deformation theory, five highly coupled second-order partial differential equations in terms of displacement components are derived. Assuming separable functions for panel displacements together with the EKM converts the governing equations into double sets of ordinary differential equations with constant coefficients in terms of x and y. The resulting ODE systems are then solved iteratively until a level of prescribed convergence is achieved. Closed-form solutions can be presented for ODE systems in each iteration. Efficiency and rapid convergence of the solution technique are examined using several examples. Predictions of both deflection and stress resultants show very good agreement with other available results in the literature. It is also shown that the same formulation and solution method can be used to obtain results for spherical and cylindrical panels and rectangular plates.

Keywords
bending analysis, doubly curved panel, laminated composite, extended Kantorovich method, EKM
Milestones
Received: 15 December 2009
Revised: 16 June 2010
Accepted: 3 July 2010
Published: 1 January 2011
Authors
Kasra Bigdeli
Thermoelasticity Center of Excellency
Department of Mechanical Engineering
Amirkabir University of Technology
Hafez Ave
Tehran 15914
Iran
School of Engineering
The University of British Columbia at Okanagan
3333 University Way
Kelowna, BC, V1V 1V7
Canada
Mohammad Mohammadi Aghdam
Thermoelasticity Center of Excellency
Department of Mechanical Engineering
Amirkabir University of Technology
Hafez Ave
Tehran 15914
Iran
http://me.aut.ac.ir/M.Aghdam.htm