Applied Mathematics and Mechanics

, Volume 20, Issue 9, pp 952–959 | Cite as

Complex equations of flexible circular ring shells overall-bending in a meridian plane and general solution for the slender ring shells

  • Zhu Weiping
  • Huang Qian
  • Guo Ping


Complex equations of circular ring shells and slender ring shells overall-bending in a meridian plane are presented based on E. L. Axelrad's equations of flexible shells of revolution under asymmetrical loading. It turns out that the equations are analogous to Novozhilov's equations of symmetrical ring shells, where general solutions have been given by W. Z. Chien. Therefore, by analogy with Chien's solution, a general solution for equations of the slender ring shells is put forward, which can be used to solve bellows overall-bending problems.

Key words

flexible shells shells of revolution circular ring shells curved-tubes bellows 

CLC number



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1999

Authors and Affiliations

  • Zhu Weiping
    • 1
  • Huang Qian
    • 1
  • Guo Ping
    • 1
  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiP R China

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