Static analysis of thick laminated shells with different boundary conditions using GDQ

Equilibrium equations and the associated boundary conditions for doubly curved, relatively deep and thick composite shells are shown. Two First Order Shear Deformation theories (FSDTs) are used. The first one uses plate stiffness parameters for thick shells and the other includes the effect of curva...

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Bibliographic Details
Published in:Thin-walled structures 2012-02, Vol.51, p.76-81
Main Authors: Asadi, Ebrahim, Qatu, Mohamad S.
Format: Article
Language:English
Subjects:
Applied sciences
Boundary conditions
Composites
Curvature
Differential equations
Equilibrium equations
Exact sciences and technology
Forms of application and semi-finished materials
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematical models
Physics
Polymer industry, paints, wood
Shells
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Technology of polymers
Three dimensional
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Summary:Equilibrium equations and the associated boundary conditions for doubly curved, relatively deep and thick composite shells are shown. Two First Order Shear Deformation theories (FSDTs) are used. The first one uses plate stiffness parameters for thick shells and the other includes the effect of curvature in the calculation of stiffness parameters. Equilibrium equations are put together with the equations of stress resultants to arrive at a system of seventeen first order differential equations. These equations are solved numerically with the aid of General Differential Quadrature (GDQ) method for isotropic, cross-ply, angle-ply and general lay-up cylindrical shells with six types of different boundary conditions using above mentioned theories. Results obtained using both theories are compared with the available results in literature and those obtained using a three-dimensional (3D) analysis to test the accuracy of the shell theories presented here. ► Seventeen first-order equilibrium equations for a composite shell are presented using FSDTQ. ► Equilibrium equations are solved numerically for different lay-ups and boundary conditions by GDQ. ► The static results of presented theory and FSDT are compared with those of 3D FEM analysis. ► Using FSDTQ instead of FSDT for deep and thick shells improves static results significantly.
ISSN:0263-8231
1879-3223
DOI:10.1016/j.tws.2011.11.004