Skip to main content
SpringerLink
Log in

Methods of calculation of ropes: The tension−torsion problem

  • Mechanics
  • Published:
Doklady Physics Aims and scope Submit manuscript

Abstract

The construction of a new theory of rope based on the spectral theory of operators is described briefly. New formulas for calculating the stiffness matrix and the tensile stiffness are obtained in a wide range of variation of parameters. The results of calculations are presented graphically.

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. M. F. Glushko, Steel Elevating Ropes (Tekhnika, Kiev, 1966) [in Russian].

    Google Scholar 

  2. A. N. Dinnik, Papers on Mining (Ugletekhizdat SSSR, 1957) [in Russian].

    Google Scholar 

  3. J. J. Thwaites, Int. J. Mech. Sci. 19 (4), 161 (1977).

    Article  Google Scholar 

  4. Yu. A. Ustinov, Dokl. Phys. 46 (10), 756 (2001).

    Article  ADS  MathSciNet  Google Scholar 

  5. Yu. A. Ustinov, Prikl. Mat. Mekh. 64 (1), 89 (2003).

    MathSciNet  Google Scholar 

  6. Yu. A. Ustinov, Saint-Venant Problems for Pseudo-Cylinders (Fizmatlit, Moscow, 2003) [in Russian].

    Google Scholar 

  7. B. E. Pobedrya, Mechanics of Composite Materials (MGU, Moscow, 1984) [in Russian].

    MATH  Google Scholar 

  8. S. G. Lekhnitskii, Theory of Elasticity of Anisotropic Body (Nauka, Moscow, 1977) [in Russian].

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, 344090, Russia

    N. V. Kurbatova

  2. Southern Mathematical Institute, Rostov-on-Don, 344090, Russia

    Yu. A. Ustinov

Authors
  1. N. V. Kurbatova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. A. Ustinov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. V. Kurbatova.

Additional information

Original Russian Text © N.V. Kurbatova, Yu.A. Ustinov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 477, No. 1, pp. 39–43.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kurbatova, N.V., Ustinov, Y.A. Methods of calculation of ropes: The tension−torsion problem. Dokl. Phys. 62, 507–511 (2017). https://doi.org/10.1134/S1028335817110027

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335817110027

Search

Navigation