Skip to main content
SpringerLink
Log in

Exact solution of large deformation basic equations of circular membrane under central force

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

Abstract

Exact solution of the nonlinear boundary value problem for the basic equation and boundary condition of circular membrane under central force was obtained by using new simple methods. The existence and uniqueness of the solution were discussed by using of modern immovable point theorems. Although specific problem is treated, the basic principles of the methods can be applied to a considerable variety of nonlinear problems.

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[J]. Zeit F Math U Phyzik, 1915, (63):311–317.

  2. Chien Weizang, Wang Zhizhong, Xu Yinge, et al. Symmetry deformation of circular membrane under central uniform load[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(6):653–668.

    MATH  Google Scholar 

  3. Sherbourne A N, Lennox W C. Elastic large deflections of annular membranes[J]. J Engng Mech Division, Proc ASCE, 1996, 92(EM2):75–99.

    Google Scholar 

  4. Kao R, Perrone N. Large deflections of axisymmetric circular membranes[J]. Internat J Solids Structures, 1971, 12(7): 1601–1612.

    Article  Google Scholar 

  5. Chen Shanlin, Zheng Zhoulian. Large deformation of circular membrane under the concentrated force[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(1):28–31.

    MATH  MathSciNet  Google Scholar 

  6. Yan Xinli. The Exact Solution of Nonlinear Equations[M]. Economy and Science Press, Beijing, 2004, 12–13, 100–102 (in Chinese).

    Google Scholar 

  7. Yan Xinli. The uniqueness of solution existence theorem and application of symmetry condense arithmetic operators[J]. Chinese Science Bulletin, 1991, 36(10):800–805.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an, 710055, P. R. China

    Hao Ji-ping Doctor  (郝际平) (Professor)

  2. School of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, P. R. China

    Yan Xin-li  (颜心力)

Authors
  1. Hao Ji-ping Doctor  (郝际平)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yan Xin-li  (颜心力)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hao Ji-ping Doctor  (郝际平).

Additional information

Communicated by CHEN Shan-lin

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hao, Jp., Yan, Xl. Exact solution of large deformation basic equations of circular membrane under central force. Appl Math Mech 27, 1333–1337 (2006). https://doi.org/10.1007/s10483-006-1005-1

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-006-1005-1

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Search

Navigation