Free vibration of thick laminated cylindrical shells with different boundary conditions using general differential quadrature

Equations of motion with required boundary conditions for deep and thick cylindrical composite shells are shown using two First-order Shear Deformation Theories. The difference between them is the inclusion of the effects of curvature in the evaluation of stiffness parameters. Equations of motion wi...

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Bibliographic Details
Published in:Journal of vibration and control 2013-02, Vol.19 (3), p.356-366
Main Authors: Asadi, Ebrahim, Qatu, Mohamad S
Format: Article
Language:English
Subjects:
Accuracy
Boundary conditions
Curvature
Cylindrical shells
Differential equations
Dynamical systems
Equations of motion
Finite element analysis
Mathematical analysis
Mathematical models
Ordinary differential equations
Vibration
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Summary:Equations of motion with required boundary conditions for deep and thick cylindrical composite shells are shown using two First-order Shear Deformation Theories. The difference between them is the inclusion of the effects of curvature in the evaluation of stiffness parameters. Equations of motion with stress resultants lead to a system of fifteen first-order differential equations for dynamics of cylindrical shells. These equations are solved numerically using the General Differential Quadrature method for free vibration of isotropic, cross-ply, angle-ply and general lay-up cylindrical shells with six types of different boundary conditions using the aforementioned theories. The first five frequency parameters and mode shapes which are obtained from both theories are compared with the available results in the literature and those obtained using a three-dimensional finite element analysis to test the accuracy of the shell theories presented here.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546311432000