Skip to main content
SpringerLink
Log in

Steady longitudinal vibrations of the components of cylindrically anisotropic plates

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

Using the perturbation method we solve the problem of steady longitudinal vibrations of cylindrically anisotropic plates consisting of a finite number of circular rings welded together. A numerical study is carried out for a five-layer plate in the case when the outer boundary is subject to a load and the inner boundary is load-free. The graphs of the stress distributions are given. Two figures. Bibliography: 5 titles.

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

Literature Cited

  1. A. S. Kosmodamianskii, “Periodic vibrations of elastic multiply connected bodies,”Vestn. Akad. Nauk Ukr. SSR, No. 4, 12–26 (1988).

    Google Scholar 

  2. M. N. Gofman, A. S. Kosmodamianskii, and A. M. Kravtsov, “Longitudinal Vibrations of a Component of an Isotropic Plate,”Teoret. i Prikl. Mekh., No. 20, 63–67 (1989).

    Google Scholar 

  3. A. S. Kosmodamianskii and M. N. Gofman, “Steady longitudinal vibrations of the components of flat plates with a large number of component rings,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 9, 46–50 (1989).

    Google Scholar 

  4. S. G. LekhnitskiiAnisotropic Plates [in Russian], Moscow (1957).

  5. V. I. Petrishin, A. K. Privarnikov, and Yu. A. Shevlyakov, “On the solution of problems for multilayer bases,”Izv. Akad. Nauk SSSR. Mekh., No. 2, 138–143 (1965).

    Google Scholar 

Download references

Authors
  1. M. N. Gofman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. S. Kosmodamianskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 22, pp. 30–34, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gofman, M.N., Kosmodamianskii, A.S. Steady longitudinal vibrations of the components of cylindrically anisotropic plates. J Math Sci 74, 1142–1144 (1995). https://doi.org/10.1007/BF02431079

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02431079

Keywords

Search

Navigation