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环肋加劲圆柱壳在静水压力作用下的初始后屈曲分析

何福保 郁芝蒙

何福保, 郁芝蒙. 环肋加劲圆柱壳在静水压力作用下的初始后屈曲分析[J]. 应用数学和力学, 1988, 9(11): 951-962.
引用本文: 何福保, 郁芝蒙. 环肋加劲圆柱壳在静水压力作用下的初始后屈曲分析[J]. 应用数学和力学, 1988, 9(11): 951-962.
He Fu-bao, Yu Zhi-meng. The Initial Post-Buckling Behavior of Ring Stiffened Shells under Hydrostatic Pressure[J]. Applied Mathematics and Mechanics, 1988, 9(11): 951-962.
Citation: He Fu-bao, Yu Zhi-meng. The Initial Post-Buckling Behavior of Ring Stiffened Shells under Hydrostatic Pressure[J]. Applied Mathematics and Mechanics, 1988, 9(11): 951-962.

环肋加劲圆柱壳在静水压力作用下的初始后屈曲分析

The Initial Post-Buckling Behavior of Ring Stiffened Shells under Hydrostatic Pressure

  • 摘要: 本文用Koiter理论分析环肋加劲圆柱壳在静水压力作用下的后屈曲性能.前屈曲状态采用与边界条件一致的非线性有矩方程,本征值问题的解用伽辽金方法求出,得到的临界载荷与经典线性解作了比较.具体计算了三种不同环肋参数的外肋加劲圆柱壳.结果表明,肋的强弱不仅显著影响临界载荷值,同时也改变了柱壳的缺陷敏感度.
  • [1] Donnell L.H,A new theory for the buckling of thin cylinders under axial compression and bending,Trans.ASME,56(1934).
    [2] von Krmn T.and H.S.Tsien,The buckling of thin cylindrical shells under axial compression,J.Aeronaut.Sci.,8,(1941).
    [3] Tsien,H.S.,A theory for the buckling of thin shells,J.Aeronaut.Sci.,9(1942).
    [4] Stein,M.,Some recent advances in the invesligation of shell buckling,AIAA J.,6,12(1968).
    [5] Koiter,W.T.,On the stability of elastic equilibrium,(in Dutch,with English summary),Thesis,Delft,H.J.Paris,Amsterdam(1945);English translation issued as NASA TTF-10(1967).
    [6] Koiter,W.T..Elastic stability and postbuckling behavior,"Nonlinear Problems".Proc.of Symp,conducted by Math,Res.Center,U.S.Army,at the Uni.of Wisconsin,Apr.(1962);edited by R.E.Langer(1963).
    [7] Budiansky,B.and J.C.Amazigo,Initial postbuckling behavior of cylindrical shells under external pressure,J.of Math.and Phys.,67,3(1968).
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出版历程
  • 收稿日期:  1987-07-27
  • 刊出日期:  1988-11-15

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