The Development of a Generally Applicable Digital Computer Spokes Tyre Model

Abstract

Abstract An extensive survey is presented for the analysis of both in-plane and out-of-plane pneumatic tyre models. The single plane tyre model[2,9] is developed to represent the influence of tyre width by using many conical shell shapes built from spokes with different head angles. The general form of the new tyre model is based on the well-known single plane steady state version of the tyre model. The mathematical analysis and geometrical form of the developed model is given. A computer program is designed for desk top P.C. without costly running times which makes it useful for representing the pneumatic tyre/road contact forces. Model assumptions and parameters were chosen to give qualitative and quantitative agreements between theoretical and experimental results. The paper also presents an experimental study for investigating the influence of working conditions on tyre/road contact forces. The experimental results were carried out using the steady state tyre testing machine constructed in the Automotive Engineering Department, Helwan University [3,10]. Experimental findings for 145 SR 13 tyres are compared with the new model theoretical results. Experiments on real tyres show good agreement with the predicted theoretical results of the new generally applicable model.