Skip to main content
SpringerLink
Log in

On the nonlinear stability of a truncated shallow spherical shell under a concentrated load

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

Abstract

In this paper, the axisymmetric nonlinear stability of a clamped truncated shallow spherical shell with a nondeformable rigid body at the center under a concentrated load is investigated by use of the modified iteration method. The analytic formulas of second approximation for determining the upper and lower critical buckling loads are obtained.

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. Liu Ren-huai, Nonlinear stability of a circular shallow spherical shell with a circular hole in the center under the action of uniform moment at the inner edge,Bulletin of Sciences,3 (1965), 253. (in Chinese)

    Google Scholar 

  2. Liu Ren-huai, Axisymmetrical buckling of thin circular shallow spherical shell with a circular hole at the center by shearing forces uniformly distributed along the inner edge.Mechanics, 3 (1977), 206. (in Chinese)

    Google Scholar 

  3. Liu Ren-huai, Nonlinear thermal stability of a bimetallic shallow spherical shell with a circular hole at the center,Journal of the China University of Science and Technology,11, 1 (1981), 84 (in Chinese)

    Google Scholar 

  4. Liu Ren-huai, Nonlinear thermal stability of bimetallic shallow shells of revolution,International Journal of Non-linear Mechanics,18, 5 (1983), 409.

    Article  Google Scholar 

  5. Tillman, S.C., On the buckling behaviour of shallow spherical caps under a uniform pressure load,International Journal of Solids and Structures,6, 1 (1970), 37.

    Article  Google Scholar 

  6. Yeh Kai-yuan, Liu Ren-huai, et al., Nonlinear stability of a thin circular shallow spherical shell under actions of axisymmetrical uniformly distributed line loads,Bulletin of Sciences 2 (1965), 142;Journal of Lanzhou University,2 (1965), 10. (in Chinese)

    Google Scholar 

  7. Yeh Kai-yuan, Liu Ren-huai, et al., Nonlinear stability of a thin circular shallow spherical shell under the action of uniform edge moment,Bulletin of Sciences,2 (1965), 145. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shanghai University of Technology, Shanghai

    Liu Ren-huai

  2. University of Science and Technology of China, Hefei

    Liu Ren-huai & Cheng Zhen-qiang

Authors
  1. Liu Ren-huai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Cheng Zhen-qiang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This paper was read at The Third East China Symposium on Solid Mechanics, Jiuhuashan, October, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ren-huai, L., Zhen-qiang, C. On the nonlinear stability of a truncated shallow spherical shell under a concentrated load. Appl Math Mech 9, 101–112 (1988). https://doi.org/10.1007/BF02456006

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02456006

Keywords

Search

Navigation