Skip to main content
SpringerLink
Log in

Precise solution of Hertz contact problem for circular cylinders with parallel axes

  • Published:
Russian Engineering Research Aims and scope

Abstract

If the decrease in distance between elastic bodies is calculated by means of an elastic-halfspace model, precise determination of the contact deformation (diameter variation) is possible for circular cylinders with parallel axes. It is shown for the first time that a precise solution may be obtained on the basis of Hertz theory when using the elastic-halfspace model.

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. Hertz, H., Uber de Beruchtung Fester Elastischen Korper, Gesamelte Werke, Leipzig, 1895, vol. 1, pp. 155–174.

    Google Scholar 

  2. Dinnik, A.N., Izbrannye trudy (Selected Works), Kiev: AN UkrSSR, 1952, vol. 1.

    Google Scholar 

  3. Belyaev, N.M., Trudy po teorii uprugosti i plastichnosti (Elasticity and Plasticity Theory), Moscow: Gostekhteorizdat, 1957.

    Google Scholar 

  4. Koval’skii, B.S., Napryazhennoe sostoyanie i kriterii prochnosti pri kontaktnom szhatii. Nauchnye Zapiski Khar’kovogo aviatsionnogo instituta (Stress State and Strength Criteria in Contact Compression: Scientific Proceedings of Kharkov Aviation Institute), Kharkov, 1941, vol. 5.

  5. Foppl, A., Lectures on Technical Mechanics, Leipzig: B.G. Teubner, 1907, vol. 5.

    Google Scholar 

  6. Hoprich and Zantopoulos, Contact Strain along a Straight Line: A Cylinder between Two Plane Plates, Tr. AIME: Friction and Lubrication, 1974, no. 3, pp. 193–198.

  7. Johnson, K.L., Contact Mechanics, Cambridge: Cambridge University Press, 1985.

    MATH  Google Scholar 

  8. Nakhatakyan, F.G. and Kosarev, O.I., Convergence of Elastic Bodies in Hertz Contact Problem, Probl. Mashinostr. Avtomat., 2010, no. 1, pp. 102–106.

  9. Nakhatakyan, F.G., Mechanics of Contact Convergence of Elastic Bodies in Hertz Problem, Probl. Mashinostr. Avtomat., 2010, no. 5, pp. 48–56.

  10. Airapetov, E.L., Determining the Contact Strain of Cylindrical-Gear Teeth, Vestn. Mashinostr., 1967, no. 1, pp. 32–35.

  11. Timoshenko, S.P. and Goodyear, J., Theory of Elasticity, New York: McGraw-Hill, 1970.

    MATH  Google Scholar 

  12. Prochnost’, ustoichnost’, kolebaniya. Spravochnik (Strength, Stability, and Vibration: A Handbook), Birger, I.A. and Panovko, Ya.G., Eds., Moscow: Mashinostroenie, 1968.

    Google Scholar 

  13. Ponomarev, S.D., Biderman, V.L., Likharev, K.K., et al., Raschety na prochnost’ v mashinostroenii (Strength Calculations in Manufacturing), Moscow: Mashgiz, 1958, vol. 2.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Blagonravov Institute of Manufacturing Engineering, Russian Academy of Sciences, Moscow, Russia

    F. G. Nakhatakyan

Authors
  1. F. G. Nakhatakyan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F. G. Nakhatakyan.

Additional information

Original Russian Text © F.G. Nakhatakyan, 2011, published in Vestnik Mashinostroeniya, 2011, No. 3, pp. 3–6.

About this article

Cite this article

Nakhatakyan, F.G. Precise solution of Hertz contact problem for circular cylinders with parallel axes. Russ. Engin. Res. 31, 193–196 (2011). https://doi.org/10.3103/S1068798X11030208

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068798X11030208

Keywords

Search

Navigation