Skip to main content
Log in

Application of Potential Theory Methods for Static Deformation Studies on Sectional Cone Shells

  • Published:
Strength of Materials Aims and scope

The static deformation problem for cone shells is examined. The solution is built on potential theory methods. An examined body is looked on as the sectional structure, including several cone shells. The conditions of shell connection in the sectional structure are formulated. For the examined problem, the Green-type matrix is constructed. Basic stress state characteristics of a sectional cone shell in relation to cone angles are investigated.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. S. D. Ponomarev, V. L. Biderman, and K. K. Likharev, Strength Calculations in Mechanical Engineering [in Russian], Vol. 2, Mashgiz, Moscow (1958).

    Google Scholar 

  2. Ya. M. Grigorenko, Isotropic and Anisotropic Rotating Layered Shells of Variable Rigidity [in Russian], Naukova Dumka, Kiev (1973).

  3. L. L. Barinka and R. L. Jennings, “A numerical and substructuring analysis for discontinuous thin shells of revolution,” in: Trans. of 4th Int. Conf. on Structural Mechanics in Reactor Technology (Aug. 15–19, San Francisco, California, 1977), Amsterdam (1977), p. M 3/3.

  4. V. N. Skopinsky, “Stress concentration in cone–cylinder intersection,” Int. J. Press. Vess. Piping, 78, No. 1, 35–41 (2001).

    Article  Google Scholar 

  5. N. M. Yakupov and R. Z. Khisamov, “Simulation of compound shell systems,” in: Mechanics of Shells and Plates [in Russian], NNGU, Nizhni Novgorod (1999), p. 203–205.

    Google Scholar 

  6. V. Z. Vlasov, Selected Works [in Russian], in 3 volumes, Vol. 1, Izd. AN USSR, Moscow (1962).

  7. S. A. Levchuk, “Studies on the relation between the basic characteristics of the stress state of sectional cone shells and cone angles with potential theory methods,” Visn. Zaporiz. Derzh. Univer., Fiz.-Matemat. Nauki, No. 2, 56–60 (2004).

  8. S. P. Gavelya, “Method of Green-type matrix construction for sectional shells,” Dokl. AN UkrSSR, Ser. A, No. 9, 12–17 (1981).

  9. I. A. Birger and Ya. G. Panovko, Strength, Stability, and Vibrations [in Russian], in 3 volumes, Vol. 1, Mashinostroenie, Moscow (1968).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. A. Levchuk.

Additional information

Translated from Problemy Prochnosti, No. 4, pp. 136 – 141, July – August, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Levchuk, S.A. Application of Potential Theory Methods for Static Deformation Studies on Sectional Cone Shells. Strength Mater 46, 553–557 (2014). https://doi.org/10.1007/s11223-014-9582-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11223-014-9582-2

Keywords

Navigation