Skip to main content
SpringerLink
Log in

Method of investigating nonlinear dynamics problems of rectangular plates with initial imperfections

  • Published:
Soviet Applied 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. I. V. Andrianov, “On the theory of Berger plates,” Prikl. Mat. Mekh., No. 1, 174–176 (1983).

    Google Scholar 

  2. A. S. Vol'mir, Nonlinear Plate and Shell Dynamics [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  3. Ya. F. Kayuk and V. K. Khizhnyak, “Analytic method of solving nonlinear plate bending problems,” Prikl. Mekh.,17, No. 1, 51–57 (1981).

    Google Scholar 

  4. J. Cole, Perturbation Methods in Applied Mathematics [Russian translation], Nauka, Moscow (1967).

    Google Scholar 

  5. L. I. Manevich and V. N. Pilipchuk, “Nonlinear vibrations of a three-linked mechanical system with several equilibrium positions,” Prikl. Mekh.,17, No. 2, 97–103 (1981).

    Google Scholar 

  6. V. N. Pilipchuk, “On the substantially nonlinear dynamics of arches and rings” Prikl. Mat. Mekh., No. 3, 461–466 (1982).

    Google Scholar 

  7. A. V. Pogorelov, Geometric Methods in Nonlinear Elastic Shell Theory [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  8. H. M. Berger, “A new approach to the analysis of large deflections of plates,” J. Appl. Mech.,22, No. 4, 465–472 (1955).

    Google Scholar 

  9. W. A. Nash and J. R. Modeer, “Certain approximate analyses of the nonlinear behavior of plates and shallow shells,” Proc. Symp. Theory Thin Elastic Shells (1960), pp. 331–354.

Download references

Authors
  1. V. N. Pilipchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dnepropetrovsk Chemical-Technological Institute. Translated from Prikladnaya Mekhanika, Vol. 22, No. 2, pp. 78–85, February, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pilipchuk, V.N. Method of investigating nonlinear dynamics problems of rectangular plates with initial imperfections. Soviet Applied Mechanics 22, 162–168 (1986). https://doi.org/10.1007/BF00887007

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00887007

Keywords

Search

Navigation