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.Abstract: In this article the initial postbuckling behavior of ring stiffened cylindrical shells under hydrostatic pressure is analyzed by Koiter's theory.The nonlinear bending equations consistent with boundary conditions have been used in prebuckling slate.The eigenvalue problem is solved by Galerkin's method.The obtained buckling loads are compared with the results which are based on classical stability theory.As calculating examples, three typical outside-stiffened cylinders with different ring stiffener parameters are chosen.The results show that the strength of stiffener not only influences buckling load obviously, but also changes the imperfection-sensitivity of cylindrical shells.
-
[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).
计量
- 文章访问数: 1878
- HTML全文浏览量: 154
- PDF下载量: 534
- 被引次数: 0