Abstract

A mathematical model to analyze the structural behavior of a pneumatic tire is described. The model consists of a series of unidirectional layers of tire cord bonded together in a contoured shape to form a laminated structure. The number of cord layers and the properties and orientation of the cords in each layer can be varied to represent various sections such as the belt and sidewall of a radial construction. The model includes only membrane stresses, but permits large deformations and geometric rearrangement of the cords. Inputs to the model include the initial uninflated tire geometry (mold shape), properties and arrangement of cords and rubber, and the applied load distribution. Model outputs include shape, cord tension distributions, and interply shear stresses. A selection of results from the model are presented for a particular radial tire, and a comparison is made between the calculated and experimentally observed shapes. The results are interpreted in terms of the fundamental mechanical behavior of the system.