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Analytical approach for the prediction of steady state tyre forces and moments under different normal pressure distributions

S. Srinivasa Rao, K. Ramji, M.K. Naidu
Journal of Terramechanics, Volume 49, Issue 5, October 2012, Pages 281-289, ISSN 0022-4898, 10.1016/j.jterra.2012.10.002.
Abstract: In general, all primary as well as disturbing forces acting on a vehicle (with the exception of aerodynamic forces) are generated at the tyre–road interface. The small size pneumatic tyres presented in this work are mostly used in lightweight vehicles like scooters, motor cycles and 3-wheelers that are extensively used for intercity transportation applications in India and other developing countries. Analytical approach is more advantage than experimental work due to many factors like it involves less cost, minimum time and little effort. Hence, Analytical tyre models are developed based on various normal pressure distributions with tyre contact patch as rectangle at the middle with part of circles at the ends. The tyre longitudinal and lateral force characteristic equations for proposed tyre models are developed. In addition, the equations for self – aligning moment and overturning moment characteristics for all tyre models are also derived. Results of proposed tyre models in the present study are compared with well-established earlier tyre models [4–6]. From the force and moment characteristics of all tyre models, unsymmetrical trapezoidal pressure distribution tyre model gives better performance than other models due to which better lateral stability of the vehicle can be obtained.
Keywords: Forces; Moments; Slip ratio; Slip angle; Camber angle; Contact patch