Skip to main content
SpringerLink
Log in

Analysis of an arbitrarily loaded shell of revolution based on the finite element method in a mixed formulation

  • Structural Mechanics and Strength of Flight Vehicles
  • Published:
Russian Aeronautics (Iz VUZ) Aims and scope Submit manuscript

Abstract

The volume finite element in the form of hexahedron with nodal unknowns as components of the displacement vector and stress tensor has been developed to analyze the shells of revolution. The displacement vector components for the inner point of the finite element and the components of its stress tensor are expressed through the nodal unknowns using the method of vector and tensor fields interpolation by the trilinear shape functions; that provides taking into account the finite element displacement as a whole solid. The variational principle in a mixed formulation is applied to form the matrix of hexahedron deformation. The efficiency of the proposed method for approximating the values being sought as vector and tensor fields in comparison with the traditional method for approximating the values being sought as scalar fields is confirmed by a numerical example.

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. Golovanov, A.I., Tyuleneva, O.N., and Shigabutdinov, A.F., Metod konechnykh elementov v statike i dinamike tonkostennykh konstruktsii (Finite Element Method in Statics and Dynamics of Thin-Walled Structures), Moscow: Fizmatlit, 2006.

    Google Scholar 

  2. Postnov, V.A. and Kharkhurim, I.Ya., Metod konechnykh elementov v raschetakh sudovykh konstruktsii (Finite Element Method in Analyzing Ship Structures), Leningrad: Sudostroenie, 1974.

    Google Scholar 

  3. Gallagher, R. H. Finite Element Analysis: Fundamentals, Englewood Cliffs, NJ: Prentice-Hall, 1975.

    Google Scholar 

  4. Rikards, R.B., Metod konechnykh elementov v teorii obolochek i plastin (Finite Element Analysis in Theory of Shells and Plates), Riga: Zinatne, 1988.

    Google Scholar 

  5. Sedov, L.I., Mekhanika sploshnoi sredy (Continuum Mechanics), Moscow: Nauka, 1976.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Volgograd State Agricultural Academy, Volgograd, Russia

    N. A. Gureeva, Yu. V. Klochkov & A. P. Nikolaev

Authors
  1. N. A. Gureeva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. V. Klochkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. P. Nikolaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © N.A. Gureeva, Yu.V. Klochkov, A.P. Nikolaev, 2010, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, 2010, No. 3, pp. 7–10.

About this article

Cite this article

Gureeva, N.A., Klochkov, Y.V. & Nikolaev, A.P. Analysis of an arbitrarily loaded shell of revolution based on the finite element method in a mixed formulation. Russ. Aeronaut. 53, 250–256 (2010). https://doi.org/10.3103/S1068799810030025

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068799810030025

Key words

Search

Navigation