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The Rotating Inhomogeneous Elastic Cylinders of Variable-Thickness and Density |
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PP: 237-257 |
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Author(s) |
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M. N. M. Allam,
A. M. Zenkour,
E. R. Elazab3,
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Abstract |
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| In this paper, an analytical solution is developed for the rotation problem of an inhomogeneous
orthotropic cylinder with variable-thickness and density under plane strain
assumption. The thickness of the cylinder and the elastic constants are taken as exponential
functions in the radial direction but the density in a power law form. The
cylinder may be solid or hollow with traction-free surface or clamped. On application
of the boundary conditions, the stress and displacement for rotating homogeneous
isotropic solid and hollow cylinders with uniform-thickness and density are obtained
as special cases of the studied problem. Numerical results for stresses and displacement
are presented in graphical forms. The effects of many parameters on stresses and
displacement are investigated. |
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