About friction on air wheels with pure slip

  • Б.М. Шифрин

Abstract

Based on synthesis of ideas of the basic analytical model (BAM) of steady slip of a deformable air wheels and the theory of multicomponent dry friction (TMDF) of solids, the article proposes a modification of BAM, which can be regarded as an extension of TMDF on the case of deformable air wheels. The article rejects BAM assumptions about the shape of con-tact patch and the normal distributed force and replaces them with the assumptions of a TMDF model — it is assumed that the contact patch is a circle, and the normal stress corresponds to Hertz law. In addition, the article proposes an amendment to BAM concerning the location of contact patch. This allowed to explain the effect of rolling friction and improve coordination of theoretical and experimental data. Two-dimensional boundaries of zones of adhesion and friction are built for different an-gles of slip. The article compares dependence charts (i) of the area of adhesion zone, (ii) lateral friction and restoring moment (iii) on slip angle, obtained on the basis of the BAM and the modified model — the observed differences were found insig-nificant.

References

1. Pacejka H.B. Tyre and vehicle dynamics. Butterworth-Heinemann, 2006. 642 p.
2. Gim G. An analytic model of pneumatic tires for vehicle dynamic simulations. Part 1: Pure slips. G. Gim, P.E. Nikravesh. Int. J. of Vehicle Design. 1990. V.11, №6. Р. 589 - 618.
3. Pacejka H. B. Shear force development by pneumatic tires in steady-state conditions. A review of modeling aspects. H. B. Pacejka, R. S. Sharp. Vehicle system dynamics. 1991. Vol.20, № 3-4. P. 121 - 176.
4. Andronov V.V. Suhoe trenie v zadachah mehaniki. V. V. Andronov, V. F. Zhuravlev/ M.; Izhevsk: NITs «Regulyarnaya i haoticheskaya dinamika», Institut kompyuternyih issledovaniy, 2010. 184 рр.
5. Kostarev A.V. Soprotivlenie dvizheniyu kolesa. Vestnik nauchno-tehnicheskogo razvitiya, 2010. №2 (30). Р. 40 - 43.
6. Knoroz V. I. Rabota avtomobilnoy shinyi. M.: Transport, 1976. 238 рр.
7. Sakai H. Theoretical and experimental studies on the dynamic properties of tires, Part 2: Experimen-tal investigation of rubber friction and deformation of a tire. Int. J. of Vehicle Design. 1981. Vol.2, № 2. Р. 182 - 226.
8. Sakai H. Theoretical and experimental studies on the dynamic properties of tires, Part 4: Investiga-tions of the influences of running conditions by calculation and experiment. Int. J. of Vehicle Design, 1982. Vol.3, № 3. Р. 333 - 375.
9. Plahtienko N. P. Odnostepennaya model kolebaniy oporyi shassi samoleta. N. P. Plahtienko, B.M. Shifrin. Tehn. mehanika. 2006. №1. Р.16 25.
10. Dwight H. B. Tables of integrals and other matematical data. NY: The Macmillan Company. 1961. – 228 рр.
Published
2015-06-18
How to Cite
Шифрин, Б. (2015). About friction on air wheels with pure slip. Problems of Tribology, 73(3), 42-49. Retrieved from http://tribology.khnu.km.ua/index.php/ProbTrib/article/view/390
Section
Articles