Abstract
In this paper, an analytical solution for the rotation problem of an inhomogeneous hollow cylinder with variable thickness under plane strain assumption is developed. The present cylinder is made of a fiber-reinforced viscoelastic inhomogeneous orthotropic material. The thickness of the cylinder is taken as parabolic function in the radial direction. The elastic properties varies in the same manner as the thickness of the cylinder while the density varies according to an exponential law form. The inner and outer surfaces of the cylinder are considered to have combinations of free and clamped boundary conditions. Analytical solutions are given according to different types of the hollow cylinders. An extension of the present solutions to the viscoelastic ones and some applications are investigated in Part II.
Highlights
The rotation problem of inhomogeneous cylinder has been important applications, in mechanical engineering, aerospace industry, underwater vehicles and biomechanics
The plane strain problem of a rotating inhomogeneous orthotropic hollow cylinder is solved by Senitskii [1]
Using Equation (28) we find that the solution given in Equations (26) and (27) for the rotating uniform thickness and density homogeneous isotropic hollow cylinder takes the form: u r
Summary
The rotation problem of inhomogeneous cylinder has been important applications, in mechanical engineering, aerospace industry, underwater vehicles and biomechanics. The plane strain problem of a rotating inhomogeneous orthotropic hollow cylinder is solved by Senitskii [1]. Vasilenko and Klimenko, [3] have analyzed the stress state of a rotating cylinder, inhomogeneous in the radial direction, having one plane of elastic symmetry and loaded with centrifugal forces. Grigorenko and Rozhok [12] have studied the stress problem for non-circular hollow cylinder with variable thickness under uniform and local loads. Nie and Batra [16] have studied plane-strain static deformations of a cylinder with elliptical inner and circular outer surfaces composed of a material that is polar-orthotropic and its moduli vary exponentially in the radial direction. The displacement and stresses for rotating variable-thickness inhomogeneous orthotropic hollow cylinder subjected to various boundary conditions are obtained. As the effect of thickness variation of rotating cylinders can be taken into account in their equilibrium equation, the theory of the cylinders of variable thickness can give excellent results as that of the uniform thickness
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
