Advertisement

Elastic Toroidal Wheel Rolling with Side Slip

  • T. A. Balabina
  • Yu. I. Brovkina
  • A. N. Mamaev
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

The toroidal convex of the treadmill wheel increases the rolling resistance force and its wear rate which usually takes place only at small longitudinal forces in the contact zone. However, there are practically no data of the influence of this structural parameter of the wheel on its force kinematic characteristics under the straight rolling with slip. This paper is devoted to this problem. To solve this problem and assuming that the contact area is close to ellipse while the normal pressure is distributed under the parabolic law, we get the equations determining the lateral force, the cornering moment in the contact zone, the friction loss of different toroidality wheels in the function of a slip side angle, and longitudinal tangential force acting in the contact zone.

Keywords

Wheel Rolling Toroidally (convex) Friction Force Power losses on friction Radius of convexity 

References

  1. 1.
    Vyrabov RV, Mamaev AN (1983) The effect of toroidally elastic wheels for uneven wear across the width of the treadmill. Mech Eng 9:4–97Google Scholar
  2. 2.
    Vyrabov RV, Mamaev AN (1978) Determination of power losses to friction in the contact of friction pair of wheel with pneumatic tyre-rigid base. Interuniversity collection of scientific papers “continuously variable adjustable transmission vol 3, pp 61–67Google Scholar
  3. 3.
    Vyrabov RV, Mamaev AN (1980) Analysis of kinematic and force relations in the rolling of elastic wheels on rigid base. Mech Mach 57:101–106Google Scholar
  4. 4.
    Vyrabov RV, Mamaev AN, Balabina TA (2010) General questions of interaction between elastic wheels with a rigid support surface. In: Materials of international scientific and technical conference AAI “Car and tractor construction in Russia: development priorities and training”, dedicated to the 145th anniversary of MGTU “MAMI”, MoscowGoogle Scholar
  5. 5.
    Balabina TA, Mamaev AN (2014) The mechanics of rolling elastic wheels on rigid support surface. Engineering science: trends, prospects and technology development. In: Collection of scientific papers on the results of international scientific-practical conference. Innovation center for the development of education and science, pp 20–25Google Scholar
  6. 6.
    Vyrabov RV, Mamaev AN (1987) To the question on the least value of the coefficient of rolling resistance of elastic wheels on rigid horizontal surface. Izv Univ Mech Eng 10:85–88Google Scholar
  7. 7.
    Mamaev AN (1982) Determination of the coefficient of tangential elasticity of the wheels with the toroidal shape of the treadmill. Mech Eng 10Google Scholar
  8. 8.
    Mamaev AN, Vukolova GS, Dmitrieva LN (1999) The effect of the view taken of the law of distribution of normal pressure in the wheels in contact with the rigid base on the calculated force and kinematic parameters of the wheel. SB. scientific papers dedicated to the 60th anniversary recreation of MAMIGoogle Scholar
  9. 9.
    Vyrabov RV, Mamaev AN, Marinkin AP et al (1986) Influence of the mode of rolling elastic wheels on the magnitude of lateral forces during a side slip. J Mech Eng 1:33–35Google Scholar
  10. 10.
    Vyrabov RV, Mamaev AN (1980) Analysis of power relations in the rolling of the slave elastic cylindrical wheel along a curvilinear trajectory. Mech Mach 57:105–112Google Scholar
  11. 11.
    Vyrabov RV, Mamaev AN (1980) Investigation of contact phenomena in nonlinear toroidal rolling wheels. Izv Univ Mech Eng 2:33–38Google Scholar
  12. 12.
    Vyrabov RV, Mamaev AN (1980) Determination of forces and moments acting on the toroidal wheel in nonlinear rolling. Izv Univ Mech Eng 3:30–34Google Scholar
  13. 13.
    Mamaev AN, Sazanov IV, Nazarov YP (1990) Determination of the force characteristics of the elastic wheel rolling with a slip along a curved path. Proceedings of II all-Union Symposium “Problems of tires and rubber-cord materials. Strength and durability”Google Scholar
  14. 14.
    Mamaev AN (1999) The influence of the operating conditions of the tyres for wear their treadmill 9:9Google Scholar
  15. 15.
    Balabina TA, Brovkina, YI, Chepurnoy SI (2014) The mechanics of rolling elastic wheels on rigid support surfaces. In: Collection of articles of international scientific-practical conference “Topical issues of development of science”, Ufa, 14 February 2014Google Scholar
  16. 16.
    Balabina TA Brovkina, YI, Chepurnoy SI (2014) The force and kinematic characteristics of elastic wheel rolling on rigid base. In: Collection of articles of international scientific-practical conference “Evolution of scientific thought”, Ufa, Russia, 21 February 2014Google Scholar
  17. 17.
    Balabina TA, Brovkina, YI, Mamaev AN (2014) Determination of the longitudinal force acting in a rolling contact elastic wheel and rigid base for bench testing. In: Collection of articles of international scientific-practical conference “Achievements and prospects of technical Sciences”, Ufa, 10 October 2014Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • T. A. Balabina
    • 1
  • Yu. I. Brovkina
    • 1
  • A. N. Mamaev
    • 1
  1. 1.Moscow Polytechnic UniversityMoscowRussia

Personalised recommendations