An Algorithm for Distributing Torque in a 4х4 Wheel Car to Ensure Driving Stability

In the early twentieth century sports cars started to be equipped with all-wheel drives with differential connectivity to provide better handling and stability when driving on curved sections of the road. From the mid-twentieth century, transmissions and drive axles of wheeled vehicles were fitted with limited-slip differentials to improve handling and stability in comparison with conventional differentials. In most inter-axle differentials of increased friction, the locking coefficient is in the range from 1.5 to 3. The relationship between the vehicle’s driving conditions and the presence of a limited-slip differential is described, and the process of torque distribution between the wheels is outlined. Graphs are plotted illustrating the motion of the vehicle during the «rearrange» test equipped with a differential without friction and with a limited-slip differential. A comparative analysis of parameters is performed for a vehicle driving on asphalt and ice with snow.

References

[1] Ivanov A.M., Solntsev A.N., Gaevskii V.V., Kliukin P.N., Osipov V.I., Popov A.I. Osnovy konstruktsii sovremennogo avtomobilia [Foundations of design a modern car]. Moscow, Za rulem publ., 2012. 336 p.

[2] Naunheimer H., Bertsche B., Ryborz J., Novak W. Automotive Transmissions: Fundamentals, Selection, Design and Application. Heidelberg, Dordrecht, London, New York, Springer, 2011. 715 p.

[3] Reimpell J., Stoll H., Betzler J. The automotive Chassis: Engineering Principles. Oxford, Woburn, Butterworth-Heinemann, 2001. 456 p.

[4] Verner M., Rainer P., Aksel’ Sh. Avtomobil’nye stsepleniia, transmissii, privody [Automotive clutch, transmissions, drives]. Moscow, Za rulem publ., 2012. 352 p.

[5] Zhileikin M.M. Teoreticheskie osnovy pokazatelei ustoichivosti i upravliaemosti kolesnykh mashin na baze metodov nechetkoi logiki [The theoretical basis of indicators of stability and controllability of the wheeled vehicle based on fuzzy logic]. Moscow, Bauman Press, 2016. 238 p.

[6] Zhileikin M.M. Stabilizatsiia dvizheniia dvukhosnykh kolesnykh mashin za schet pereras-predeleniia krutiashchikh momentov mezhdu vedushchimi kolesami [Stabilization of Motion of Two-Axle Wheeled Vehicles through the Redistribution of Torque between the Driving Wheels]. Izvestiia vysshikh uchebnykh zavedenii. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building]. 2017, no. 3, pp. 32–40.

[7] Litvinov A.S. Ustoichivost’ i upravliaemost’ avtomobilia [Stability and handling of the car]. Moscow, Mashinostroenie publ., 1971. 176 p.

[8] Larin V.V. Teoriia dvizheniia polnoprivodnykh kolesnykh mashin [Theory of motion of four-wheel drive wheeled vehicles]. Moscow, Bauman Press, 2010. 391 p.

[9] Smirnov G.A. Teoriia dvizheniia kolesnykh mashin [The theory of motion of wheeled vehicles]. Moscow, Mashinostroenie publ., 1990. 352 p.

[10] Antonov D.A. Raschet ustoichivosti dvizheniia mnogoosnykh avtomobilei [Calculation of stability of motion of multiaxial cars]. Moscow, Mashinostroenie publ., 1984. 168 p.

[11] Proektirovanie polnoprivodnykh kolesnykh mashin [Design of four-wheel drive wheeled vehicles]. Ed. Polungian A.A. In 3 vol. Vol. 2. Moscow, Bauman Press, 2008. 528 p.

[12] GOST 52302–2004. Avtotransportnye sredstva. Upravliaemost’ i ustoichivost’. Tekhnicheskie trebovaniia. Metody ispytanii [State Standard 52302–2004. Road vehicles. Handling and stability. Technical requirements. Test methods]. Moscow, Standartinform publ., 2005. 27 p.