Analytical computation of vertical stiffness of a static pneumatic tire

This project in its present form is the result of analytical computation of the vertical stiffness of a pneumatic tire. Vertical stiffness is computed and compared with measured data for four samples of tires using analytical methods. Before the computation of the stiffness some assumptions has been made to find an analytical relationships among various parameters mainly between vertical force and vertical deflection. During our analysis in general Matlab was the main tool but wolf ram was used for the integration of a complex definite integral in determining the vertical force. The first chapter comprises all about the manufacturing procedure and the types of materials used to produce the tire. And the second chapter defines methods of testing the tire and all the parameters which should be measured. The third and the main body of this thesis include the development of an analytical formula which relates the vertical force and deflection starting from the geometry of the tire. Most of the experimental data are taken from Pirelli and used as an input to our analysis. Moreover experiment on tire was done in Politecnico di Milano laboratory to find the stiffness of the tire without pressure. Chapter four includes all the results found by comparing the experimental and calculated results found by using the analytical formula developed in chapter three.