Skip to main content
SpringerLink
Log in

The symmetrical deformation of circular membrane under the action of uniformly distributed loads in its central portion

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

This paper presents the solution of symmetrical deformation of circular membrane under the action of uniformly distributed loads in its central portion. Its limiting case is the solution of circular membrane under concentrated load at the center. This solution is the third solution of the circular membrane problems after the well-known Hencky's solution

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. Hencky, H., Uber den Spannungszustand in kreisunden Platten mit Verschwindender Biegungssteifigkeit, Zeit. f. Math. u. Physik, 63 (1915), 311–317.

    Google Scholar 

  2. Chien Wei-zang (), Asymptotic behavior of a thin clamped circular plate under uniform normal pressure at very large deflection, Science Report of Tsinghua University, 5, No. 1 (1948). This article also appears in “The large deflection problem of the elastic circular thin plate”, (in Chinese), (1954), 1–22, Science Publishing House.

  3. Алексеев, С. А., Колпеобразная упругая мембрана под действием попереиной солы, принохенной к жесткому дентралъно расположенномудиску. инженерный сборннк 10 (1951), 71–80.

    Google Scholar 

  4. Yeh Kai-yuan (), The large deflection problem of the circular thin plate, in “The large deflection problem of the elastic circular thin plate”, (in Chinese) (1954), 56–57, Science Publishing House.

Download references

Author information

Authors and Affiliations

  1. Tsinghua University, Beijing

    Chien Wei-zang, Wang Zhi-Zhong & Xu Yin-ge

  2. Chongqing Jiaotong Institute, Chongqing

    Chien Wei-zang, Wang Zhi-Zhong & Xu Yin-ge

  3. Tsinghua University, Beijing

    Chen Shan-Lin

Authors
  1. Chien Wei-zang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wang Zhi-Zhong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xu Yin-ge
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Chen Shan-Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wei-zang, C., Zhi-Zhong, W., Yin-ge, X. et al. The symmetrical deformation of circular membrane under the action of uniformly distributed loads in its central portion. Appl Math Mech 2, 653–668 (1981). https://doi.org/10.1007/BF01897638

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01897638

Keywords

Search

Navigation