| GENERAL SOLUTION OF THE OVERALL BENDING OF FLEXIBLE CIRCULAR RING SHELLS WITH MODERATELY SLENDER RATIO AND APPLICATIONS TO THE BELLOWS (Ⅰ)-GOVERNING EQUATION AND GENERAL SOLUTION |
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| 引用本文： | 朱卫平,黄黔.GENERAL SOLUTION OF THE OVERALL BENDING OF FLEXIBLE CIRCULAR RING SHELLS WITH MODERATELY SLENDER RATIO AND APPLICATIONS TO THE BELLOWS (Ⅰ)-GOVERNING EQUATION AND GENERAL SOLUTION[J].应用数学和力学(英文版),2002,23(8). |
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| 作者姓名： | 朱卫平 黄黔 |
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| 作者单位： | ZHU Wei_ping，HUANG Qian (Shanghai Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，P R China) (Contributed by HUANG Qian) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｔｈｅｏｒｙｏｆｆｌｅｘｉｂｌｅｓｈｅｌｌｓ,ｅｓｔａｂｌｉｓｈｅｄｂｙＥ .Ｌ .Ａｘｅｌｒａｄ1,2 ]( 1 976,1 987) ,ｉｓａｓｉｍｐｌｉｆｉｅｄｔｈｅｏｒｙｆｏｒｔｈｉｎｓｈｅｌｌｓ,ｉｎｗｈｉｃｈｓｈｅｌｌｓｏｆｒｅｖｏｌｕｔｉｏｎａｒｅｆｏｒｍｕｌａｔｅｄｉｎｍｅｒｉｄｉｏｎａｌｄｉｒｅｃｔｉｏｎｂｙｂｅｎｄｉｎｇｔｈｅｏｒｙｏｆｔｈｅｓｈｅｌｌｓａｎｄｂｙｔｈｅｍｅｍｂｒａｎｅｔｈｅｏｒｙｉｎｔｈｅｃｉｒｃｕｍｆｅｒｅｎｔｉａｌｄｉｒｅｃｔｉｏｎ .ＴｈｅＡｘｅｌｒ…
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General Solution of the Overall Bending of Flexible Circular Ring Shells with Moderately Slender Ratio and Applications to the Bellows ( Ⅰ )—Governing Equation and General Solution |
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| ZHU Wei_ping,HUANG Qian.General Solution of the Overall Bending of Flexible Circular Ring Shells with Moderately Slender Ratio and Applications to the Bellows ( Ⅰ )—Governing Equation and General Solution[J].Applied Mathematics and Mechanics(English Edition),2002,23(8). |
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| Authors: | ZHU Wei_ping HUANG Qian |
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| Abstract: | The overall bending of circular ring shells subjected to bending moments and lateral forces is discussed. The derivation of the equations was based upon the theory of flexible shells generalized by E. L. Axelrad and the assumption of the moderately slender ratio less than 1/3 ( i. e. , ratio between curvature radius of the meridian and distance from the meridional curvature center to the axis of revolution ). The present general solution is an analytical one convergent in the whole domain of the shell and with the necessary integral constants for the boundary value problems. It can be used to calculate the stresses and displacements of the related bellows. The whole work is arranged into four parts: ( Ⅰ )Governing equation and general solution; ( Ⅱ ) Calculation for Omega-shaped bellows;( Ⅲ ) Calculation for C-shaped bellows; ( Ⅳ ) Calculation for U-shaped bellows. This paper is the first part. |
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| Keywords: | theory of flexible shell circular ring shell bellows lateral bending load moderately slender ratio general solution |
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