Title: Theoretical and experimental studies on the dynamic properties of tyres: Part 3: Calculation of the six components of force and moment of a tyre
Author: H. Sakai
Address: Fourth Department of Research, Japan Automobile Institute, Ibaraki, Japan
Abstract: This research has been divided into four parts for the purpose of serial publication in the International Journal of Vehicle Design. For the sake of completeness the abstracts for all four parts are given here. Part 1: Review of theories of rubber friction. Previous theoretical work on the dynamic properties of tyres is reviewed. Extensions of a theory relating tyre cornering properties to conditions of braking and traction are considered, along with factors relevant to a further extension to the dynamic properties of an actual pneumatic tyre. A theoretical derivation of the six components of force and moment generated in a tyre is given which involves integrating the vertical and friction forces acting on a rubber block and the resultant moments over the area of contact. Part 2: Experimental investigations of rubber friction and deformation of a tyre. Experiments designed to determine the basic properties of a tyre needed for the calculation of the six components of force and moment are described. Similar consideration is then given to experiments aimed at determining the frictional properties needed for the calculation of the six components. Part 3: Calculation of the six components of force and moment of a tyre. The method of calculating the six components of force and moment generated in a tyre is presented, and then applied. Partial results of the calculation are presented. Part 4: Influence of running conditions on the calculations and experiments. The results of calculations performed in previous sections of the paper are applied to the study of the influence of running conditions on the six components of force and moment in the case of real tyres. An experiment to determine the six components is described, and the experimental values compared with the calculated values.
Keywords: rubber deformation; dynamic properties; tyre running conditions; tyre tread; vehicle tyres; pneumatic tyres; tyre mechanics; tyre dynamics; vehicle dynamics; rubber friction; cornering properties; tractive properties; directional stability; friction forces; tyre force; tyre moment.
Int. J. of Vehicle Design, 1981 Vol.2, No.3, pp.335 - 372
Available online: 25 May 2014