Skip to main content
SpringerLink
Log in

Probability analysis of the stability and minimization of the mass of cylindrical shells made of a composite material having random initial imperfections

  • Shells And Plates
  • Published:
Polymer Mechanics Aims and scope

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

Literature cited

  1. V. V. Bolotin, "Statistical methods in the nonlinear theory of elastic shells," Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 3, 33–41 (1958).

  2. B. P. Makarov, "Analysis of nonlinear problems of the stability of shells with the help of a statistical method," Inzh. Zh.,3, No. 1, 100–106 (1963).

    Google Scholar 

  3. V. V. Bolotin and B. P. Makarov, "Correlation theory of subcritical deformations of thin elastic shells," Prikl. Mat. Mekh.,32, No. 3, 428–434 (1968).

    Google Scholar 

  4. B. P. Makarov and V. M. Leizerakh, "Contribution to the problem of the stability of cylindrical shells with random initial inaccuracies," in: Proceedings of the Scientific-Technical Conference on the Results of Scientific Research during 1968–1969 [in Russian], Moscow Energy Institute, Energy Machine Construction Section, Dynamics and Strength of Machines Subsection, Moscow (1969), pp. 35–44.

  5. B. P. Makarov, "Statistical analysis of the stability of imperfect cylindrical shells," in: Data of the Seventh All-Union Conference on the Theory of Shells and Plates, Dnepropetrovsk, 1969 [in Russian], Moscow (1970), pp. 387–391.

  6. R. B. Rikards and G. A. Teters, The Stability of Shells Made of Composite Materials [in Russian], Riga (1974).

  7. A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, The Strength of Rigid Polymeric Materials [in Russian], 2nd ed., Riga (1972).

  8. V. V. Bolotin, Statistical Methods in Structural Mechanics [in Russian], 2nd ed., Moscow (1965).

  9. V. V. Bolotin, The Application of the Methods of Probability Theory and Reliability Theory in Structural Calculations [in Russian], Moscow (1971).

  10. V. M. Leizerakh, "Statistical analysis of random inaccuracies in cylindrical shells with the help of a computer," in: Proceedings of the Scientific-Technical Conference on the Results of Scientific Research during 1968–1969 [in Russian], Moscow Energy Institute, Energy Machine Construction Section, Dynamics and Strength of Machines Subsection, Moscow (1969), pp. 45–55.

  11. R. B. Rikards, "Models of the optimization of shells made of composite materials with statistical factors taken into account," Mekh. Polim., No. 6, 1048–1058 (1976).

  12. D. B. Yudin, Mathematical Control Methods under Conditions of Incomplete Information [in Russian], Moscow (1974).

  13. R. B. Rikards, "An optimal compressed circular cylindrical shell," Mekh. Polim., No. 5, 944–947 (1973).

Download references

Authors
  1. R. S. Lukoshevichyus
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. B. Rikards
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. A. Teters
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Shyaulyaiskii K. Preikshasa Pedagogical Institute. Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 1, pp. 80–89, January–February, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lukoshevichyus, R.S., Rikards, R.B. & Teters, G.A. Probability analysis of the stability and minimization of the mass of cylindrical shells made of a composite material having random initial imperfections. Polymer Mechanics 13, 76–85 (1977). https://doi.org/10.1007/BF00857283

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00857283

Keywords

Search

Navigation