Advertisement

Applied Mathematics and Mechanics

, Volume 17, Issue 8, pp 705–722 | Cite as

Non-symmetrical large deformation of a shallow thin spherical shell

  • Wang Xinzhi
  • Ren Dongyun
  • Wang Linxiang
  • Yeh Kaiyuan
Article

Abstract

By the modified iteration method, in this paper, non-symmetrical large deflection of a shallow spherical shell is discussed. We solve the second-order approximate analytical solution of the deflection of a shallow spherical shell subjected to linear liquid loads, and portray the characteristic curves of load-deflection on a perturbing point. With this paper's method, the similar questions of other kind of shell can be discussed. Through the examples, we discuss the large deflection of a plane and shallow spherical shells with different initial deflections.

Key words

large deformation non-symmetrical iteration method 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    WangXinzhi, WangLinxiang and XuJian, Non-symmetrical problem of circular thin plates, Chinese Science Bulletin, 34, (1989), 83–85.Google Scholar
  2. [2]
    WangXinzhi, WangLinxiang, HongXiaobo and WangShangyong, Displacement solution of circular plates with unsymmetrical large deflection, Natural Science Progress, 3, 2 (1993), 133–144. (in Chinese)Google Scholar
  3. [3]
    WangLinxiang, WangXinzhi and QiuPing, Non-symmetrical large deformation bending problem of circular thin plates, Applied Mathematics and Mechanics (English Ed.), 13, 12 (1992), 1149–1162.Google Scholar
  4. [4]
    R.Herbert and S. P.Peter, Elasticity Theory and Applications, Canada, John Wiley & Sons Inc., (1980), 85–111.Google Scholar
  5. [5]
    XuZhilung, Elastic Mechanics (Volume II), Higher Education Press, Beijing (1982), 181–200. (in Chinese)Google Scholar
  6. [6]
    S.Timoshenko and S.Woinowsky, Theory of Plates and Shells, translated by the Group of translating Theory of Plates and Shells, Science Press, Beijing (1977), 425–455. (Chinese version)Google Scholar
  7. [7]
    A. C.Volmir, Pliable Plates and Shells, translated by Lu Wenda, Science Press, Beijing (1963), 157–193. (Chinese version)Google Scholar
  8. [8]
    D. N.Paliwal and V.Bhalla, Large deflection analysis of a shallow spherical shell on a pasternak foundation, Int. J. Ves. Piping, 52, 2 (1992), 189–199.Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Wang Xinzhi
    • 1
  • Ren Dongyun
    • 1
  • Wang Linxiang
    • 1
  • Yeh Kaiyuan
    • 2
  1. 1.Gansu University of TechnologyLanzhouP. R. China
  2. 2.Lanzhou UniversityLanzhouP. R. China

Personalised recommendations