Skip to main content
SpringerLink
Log in

Asymptotic Analysis of Double-Row Riveting of Kirchhoff Plates

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

Abstract

Two Kirchhoff plates are considered that are joined by means of two rows of rivets posed with the small period h and modeled by Sobolev point transmission conditions. A new and unexpected effect is observed, namely the almost complete clutch of the plates occurs even for an exponentially small (with respect to h) distance between the rows in the mirror symmetry case. The same effect appears in the case of rivets in chessboard order only for the power-law smallness of the distance. These results are obtained with the help of analysis of boundary layer phenomena. Conditions are found to provide the hinge joint of the plates with friction at the limit.

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

Fig. 1.

Similar content being viewed by others

REFERENCES

  1. S. A. Nazarov, Dokl. Phys. 64, 424 (2019).

    Article  ADS  Google Scholar 

  2. V. I. Anur’ev, Handbook of Machine Engineer, Ed. by I. N. Zhestkova (Mashinostroenie, Moscow, 2006) [in Russian].

    Google Scholar 

  3. S. G. Mikhlin, Variational Methods in Mathematical Physics (Nauka, Moscow, 1970) [in Russian].

    MATH  Google Scholar 

  4. S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics (Nauka, Moscow, 1988) [in Russian].

    MATH  Google Scholar 

  5. M. Sh. Birman, Dokl. Akad. Nauk SSSR 101, 201 (1955).

    MathSciNet  Google Scholar 

Download references

Funding

This study was supported by the Russian Science Foundation, project no. 17-11-01003.

Author information

Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    S. A. Nazarov

  2. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    S. A. Nazarov

Authors
  1. S. A. Nazarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. A. Nazarov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nazarov, S.A. Asymptotic Analysis of Double-Row Riveting of Kirchhoff Plates. Dokl. Phys. 65, 442–446 (2020). https://doi.org/10.1134/S102833582012006X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S102833582012006X

Keywords:

Search

Navigation