KHOTKO Alexander V., Head of the Calculation Studies of Tire Mechanics Division of the Tire Design and Construction Department of the R&D Center, BELSHINA JSC, Bobruisk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Year 2023
Issue 4(65)
Pages 85–96
Type of article RAR
Index UDK 539.3: 621.897
DOI https://doi.org/10.46864/1995-0470-2023-4-65-85-96
Abstract Methods are considered for calculation of load and stiffness characteristics of pneumatic tires of radial and diagonal design, as well as modeling of flat and curvilinear motion of a car wheel with pneumatic tires. The calculated values of load characteristic and radial stiffness of 235/55R17 passenger tire and 46/90R57 all-steel truck tire obtained by finite element modeling in MSC.Marc software package are compared with the results of Biderman model calculation. In a quasi-static setting, the rolling process of the wheel with the 235/55R17 passenger car tire is analyzed in flat motion at a speed of 90 km/h and a rotational speed of 10.1–13.5 Hz. The following load and stiffness characteristics of the tire affecting smooth running, stability and controllability of the wheel are determined: dependence of the rolling radius on torque, circumferential stiffness, dependence of traction with the road surface on the amount of slip, coefficient of slip resistance, dependencies of lateral force and stabilizing torque on the angle of lateral skid.
Keywords car wheel, pneumatic tire, static load characteristics, stiffness indices, stationary rolling, contact patch, finite element method
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  1. Biderman V.L., et al. Avtomobilnye shiny (konstruktsiya, raschet, ispytanie, ekspluatatsiya) [Car tires (design, calculation, testing, operation)]. Moscow, Goskhimizdat Publ., 1963. 383 p. (in Russ.).
  2. Biderman V.L. Raschet rezino-metallicheskikh i rezinokordnykh elementov mashin. Diss. dokt. tekhn. nauk [Calculation of rubber-metal and rubber-cord elements of machines. D. Sc. Thesis]. Мoscow, 1958. 373 p. (in Russ.).
  3. Bukhin B.L. Vvedenie v mekhaniku pnevmaticheskikh shin [Introduction to the mechanics of pneumatic tires]. Moscow, Khimiya Publ.,1988. 222 p. (in Russ.).
  4. Tarasik V.P. Teoriya dvizheniya avtomobilya [Theory of car movement]. Saint Petersburg, BKhV-Peterburg Publ., 2006. 478 p. (in Russ.).
  5. Treloar L.R.G. The physics of rubber elasticity. Oxford, Clarendon Press, 1949. 254 p.
  6. Shil’ko S.V., Chernous D.A., Buharov S.N., Hotko A.V. Metod rascheta koeffitsienta soprotivleniya kacheniyu avtomobilnykh shin na osnove modelirovaniya termovyazkouprugogo deformirovaniya shinnykh rezin [Calculation method of coefficient of rolling resistance of car tires using modeling of thermoviscoelastic deforming of tire rubbers]. Aktualnye voprosy mashinovedeniya, 2021, iss. 10, pp. 124–128 (in Russ.).
  7. Shilko S.V., et al. Eksperimentalnoe opredelenie uprugikh i vyazkouprugikh kharakteristik shinnykh rezin [Experimental determination of elastic and viscoelastic characteristics of tire rubbers]. Teoreticheskaya i prikladnaya mekhanika, 2022, iss. 36, pp. 114–117 (in Russ.).
  8. Nakajima Y. Advanced tire mechanics. Singapore, Springer Nature Singapore Pte Ltd., 2019. 1265 p. DOI: https://doi.org/10.1007/978-981-13-5799-2.
  9. Koutný F. Geometry and mechanics of pneumatic tires. Zlín, 2007. 139 p.
  10. Robecchi E., Amici L. Mechanics of pneumatic tire. Part I. The tire under inflation alone. Tire science and technology, 1973, vol. 1, iss. 3, pp. 290–345. DOI: https://doi.org/10.2346/1.2167169.
  11. Robecchi E., Amici L. Mechanics of the pneumatic tire. Part II: The laminar model under inflation and in rotation. Tire science and technology, 1973, vol. 1, iss. 4, pp. 382–438. DOI: https:// doi.org/10.2346/1.2167173.
  12. Purdy J.F. Mathematics underlying the design of pneumatic tires. Akron, Lithographed by Edwards Brothers, 1963. 217 p.
  13. Clark S.K. Mechanics of pneumatic tires. Washington, National Highway Traffic Safety Administration, 1981. 931 p.
  14. Khotko A.V., Shil’ko S.V. Primenenie teorii setchatykh obolochek pri proektirovanii avtomobilnykh shin diagonalnoy konstruktsii [Application of the theory of gridshells in the design of diagonal automobile tires]. Mechanics of machines, mechanisms and materials, 2020, no. 1(50), pp. 5–11 (in Russ.).
  15. Khotko A.V., Shil’ko S.V., Buharov S.N. Vozmozhnosti optimalnogo proektirovaniya avtomobilnoy shiny po kriteriyu prostranstvennoy ravnoprochnosti [Possibilities for optimal design of a car tire based on a criterion of spatial strength balance]. Mechanics of machines, mechanisms and materials, 2020, no. 4(53), pp. 11–18. DOI: https://doi.org/10.46864/1995-0470-2020-4-53-11-18 (in Russ.).
  16. Marc 2014.2 Volume A: Theory and user information. Available at: https://simcompanion.hexagon.com/customers/s/article/ marc-2014-2-volume-a--theory-and-user-information-doc10797 (accessed 23 September 2023).
  17. Marc experimental elastomer analysis. Available at: https://hexagon.com/support-success/ manufacturing-intelligence/design-engineering- support/training/marc-experimental-elastomer-analysis (accessed 23 September 2023).