Skip to main content
SpringerLink
Log in

Interrelation between various mathematical models of the deformation of elastic wheels

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Simulation of the rheological properties of elastic wheels by the Volterra integral equations of the second kind with the Koltunov kernel of the nonlinear hereditary theory of viscoelasticity and by the differential equations that under certain conditions approximately replace the adopted integral equations is suggested. The interrelationship between two different types of mathematical models of the deformation of elastic wheels is shown: without account for the time factor and with account for this factor, as well as of the rheological models: integral and differential equations. For some elastic wheels the parameters of the suggested governing equations have been found from experimental data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. V. Gus'kov (Ed.), Tractors. Theory [in Russian], Mashinostroenie (1988).

  2. V. A. Rusanov, The Problem of Recompaction of Soils by Movers and an Effective Way of Its Solution [in Russian], Vseros. Nauch.-Issled. Inst. Sel'sk. Khoz., Moscow (1998).

    Google Scholar 

  3. V. A. Skotnikov, A. V. Ponomarev, and A. V. Klimanov, Passability of Machines [in Russian], Nauka i Tekhnika, Minsk (1982).

    Google Scholar 

  4. V. V. Katsygin, The Problems of the Technology of Mechanization of Agricultural Production [in Russian], Sel'khozgiz, Minsk (1963).

    Google Scholar 

  5. D. I. Zolotarevskaya, Dependence between compressing stresses and soil settling, Mekhanizatsiya Élektrifikatsiya Sel'sk. Khoz., No. 2, 30–32 (1980).

  6. T. P. Rusadze, Investigation of the Influence of Tangential Rigidity and Deformation of a Tire on the Load Capacity of the Transmission of a Full-Drive Truck, Author's Abstract of Candidate's Dissertation (in Engineering), Tbilisi (1982).

  7. Yu. I. Gruzdev, Estimation of the Tires of the Driving Wheels of Agricultural Tractors with the Aid of Dimensionless Indices, Author's Abstract of Candidate's Dissertation (in Engineering), Gorki (1973).

  8. G. N. Kapanadze, Investigation of the Absorbing Capacity of a Tire in the Case of Vertical Vibrations of an Automobile, Author's Abstract of Candidate's Dissertation (in Engineering), Tbilisi (1977).

  9. D. S. Semov, Investigation of Force Relationships of an Automobile Wheel Linearly Rolling on a Hard Road, Author's Abstract of Candidate's Dissertation (in Engineering), Moscow (1978).

  10. G. G. Kolobov, Investigation of the Traction Properties of Tractor Pneumatic Tires, Author's Abstract of Candidate's Dissertation (in Engineering), Mosk. Avtomekh. Inst., Moscow (1960).

    Google Scholar 

  11. V. N. Knyaz'kov, Investigation of the Rigidity and Kinematic Parameters of an Automobile Tire, Author's Abstract of Candidate's Dissertation (in Engineering), Moscow (1979).

  12. E. V. Klennikov, Investigation of the Influence of Certain Service Factors on the Distribution of Stresses at a Contact and Wear of Tires, Author's Abstract of Candidate's Dissertation (in Engineering), Moscow (1969).

  13. V. A. Sokolova, Some Problems of the Interaction of a Ribbed Tire with Various Bearing Surfaces, Author's Abstract of Candidate's Dissertation (in Engineering), Moscow (1963).

  14. O. B. Tret'yakov, Investigation of the Interaction of the Automobile Tire Protector with a Hard Bearing Surface, Author's Abstract of Candidate's Dissertation (in Engineering), Moscow (1972).

  15. K. S. Kolesnikov, Self-Oscillations of Steerable Automobile Wheels [in Russian], Gostekhizdat, Moscow (1955).

    Google Scholar 

  16. N. N. Yatsenko, Absorbing and Smoothing Ability of Tires [in Russian], Mashinostroenie, Moscow (1978).

    Google Scholar 

  17. V. I. Knoroz and V. I. Klennikov, Tires and Wheels [in Russian], Mashinostroenie, Moscow (1975).

    Google Scholar 

  18. F. Eirich (Ed.), Rheology. Theory and Applications [Russian translation], IL, Moscow (1962).

    Google Scholar 

  19. A. R. Rzhanitsyn, Some Problems of the Mechanics of the Systems Deformable in Time [in Russian], Gostekhizdat, Moscow (1949).

    Google Scholar 

  20. A. R. Rzhanitsyn, The Theory of Creep [in Russian], Stroiizdat, Moscow (1968).

    Google Scholar 

  21. M. A. Koltunov, Creep and Relaxation [in Russian], Vysshaya Shkola, Moscow (1976).

    Google Scholar 

  22. M. A. Koltunov, A. S. Kravchuk, and V. P. Maiboroda, Applied Mechanics of a Deformable Solid Body [in Russian], Vysshaya Shkola, Moscow (1983).

    Google Scholar 

  23. V. N. Poturaev, V. I. Dyrda, and N. I. Krush, Applied Mechanics of Rubber [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. K. A. Timiryazev Russian State Agrarian University, 49 Timiryazevskaya Str., Moscow, 127550, Russia

    D. I. Zolotarevskaya

Authors
  1. D. I. Zolotarevskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. I. Zolotarevskaya.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 4, pp. 796–807, July–August, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zolotarevskaya, D.I. Interrelation between various mathematical models of the deformation of elastic wheels. J Eng Phys Thermophy 81, 834–846 (2008). https://doi.org/10.1007/s10891-008-0088-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-008-0088-2

Keywords

Search

Navigation