Abstract
This paper deals with the bending and free vibration analysis of functionally graded cylindrical, spherical and hyperboloid shallow shell panels using tangential non-polynomial quasi 3-D shear deformation theory with eight degrees of freedoms (DOFs). The present theory assumes parabolic variation of out-of-plane stresses and satisfies traction-free boundary conditions on the top and bottom surfaces and does not require a shear correction factor. Power law is used to take into account the variation of properties of shell panels across the thickness. The accuracy and efficacy of the present theory and finite element model is validated with the results available in literature. For the analysis, various types of shell panels with different material properties, gradation, thickness ratios, aspect ratios, curvature ratios and boundary conditions are considered. The effects of these different geometric and material properties on transverse displacement and natural frequencies are examined in detail.
Published Version
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