Abstract
Based on the Sanders thin shell theory and Reddy's higher-order shear deformation shell theory, a general refined shell theory is developed in this paper for the analysis of stresses and deformations of pneumatic radial tyres of composite construction. For easy and efficient simulation of the tyre, a piece-wise Rayleigh-Ritz technique is proposed and applied to get a numerical solution to the nonlinear structural problem. Bezier polynomials are used to approximate both the geometry of the free surface of reference and displacement fields of the tyres. Stress distributions and deformations of the tyres subjected to uniform inflation pressure are computed and discussed for details. From a comparison of the present results by the piece-wise Rayleigh-Ritz approach with the numerical predictions by 3D finite element method, it has been shown that the present semi-analytical solution procedure is accurate and applicable to the much complicated time-consuming nonlinear analysis for high quality tyre.
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