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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (9): 952-959.

• 论文 • 上一篇    下一篇

COMPLEX EQUATIONS OF FLEXIBLE CIRCULAR RING SHELLS OVERALL-BENDING IN A MERIDIAN PLANE AND GENERAL SOLUTION FOR THE SLENDER RING SHELLS

朱卫平, 黄黔, 郭平   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • 收稿日期:1998-09-07 修回日期:1999-04-08 出版日期:1999-09-18 发布日期:1999-09-18

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   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:1998-09-07 Revised:1999-04-08 Online:1999-09-18 Published:1999-09-18

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摘要： 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.

关键词: flexible shells, shells of revolution, circular ring shells, curved-tubes, bellows

Abstract: 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

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