On models and methods of mechanics of pneumatic tires and rubber-cord shells. Development of the ideas due to Professor V. L. Biderman

Abstract

A survey of work of Professor V. L. Biderman’s scientific school concerned with the mechanics of tires and rubber-cord shells is presented. Analytical models of diagonal and radial tires aimed at analyzing their stress-strain state, calculating the critical rolling speed, and determining their operating characteristics are discussed. The theory of pneumatic lattice shells is presented in detail, and its new technical applications are considered. The equations of lattice shells of revolution are generalized to the case of nonsymmetric cord placement.