Zhang Yinyi. Torsional Buckling of Spherical Shells Under Circumferential Shear Loads[J]. Applied Mathematics and Mechanics, 1999, 20(4): 405-410.
 Citation: Zhang Yinyi. Torsional Buckling of Spherical Shells Under Circumferential Shear Loads[J]. Applied Mathematics and Mechanics, 1999, 20(4): 405-410.

# Torsional Buckling of Spherical Shells Under Circumferential Shear Loads

• Rev Recd Date: 1998-09-22
• Publish Date: 1999-04-15
• By the aid of differential geometry analysis on the initial buckling of shell element,a set of new and exact buckling bifurcation equations of the spherical shells is derived.Making use of Galerkin variational method,the general stability of the hinged spherical shells with the circumferential shear loads is studied.Constructing the buckling mode close to the bifurcation point deformations,the critical eigenvalues,critical load intensities and critical stresses of torsional buckling ranging from the shallow shells to the hemispherical shell are obtained for the first time.
•  [1] Timoshenko S P,Gere J M.Theo ry of Ela stic Stability,Second edition[M].translated by Zhang Fovan,Beijing:Science Press,1965(Chinese version) [2] 柔韧板与柔韧壳[M].卢文达,黄择言,卢鼎霍译.北京:科学出版社,1963. [3] 黄克智,夏之熙,薛明德,等.板壳理论[M].北京:清华大学出版社,1987. [4] Donnel L H.Stability of Thin-Walled Tubes under Torsion[R].NACA Rep,No 479,1933 [5] Simitses G J,Shaw D,Sheinman I.Imperfection sensitivity of laminated cylindrical shells in torsion and axial compression[J].Composite Structures,1985,4:335~360 [6] Yamaki N.Elastic Stability of Circular Cylindrical Shells[M].Amsterdam:North-Hol-land Publishing Co,1984 [7] 王德禹,马宏伟,杨桂通.弹性圆柱壳扭转屈曲研究[J].应用数学和力学,1992,13(3):193~197. [8] 张音翼.锥壳的扭转屈曲[J].南昌大学学报,1998,20(1):40~43,79. [9] 李忱,黄执中.任意形状薄壳的弹性稳定性方程[J].上海力学,1995,14(3):74~81. [10] Chien Weizang,Hu Haichang.On the snapping of a thin spherical cap[A].In:Procee-dings of the 9th International Congress of Applied Mechanics[C].Brussels,Belgium,1956 [11] Scheidl R,Troger H.On the buckling and po stbuckling of spherical shells[A].In:E L Axeirad,F A Emmerling eds.Flexible Shells,Theory and Applications[C],New York:Springer-Verlag,1984 [12] 叶开沅,刘平.复合载荷下圆底扁球壳非线性稳定性[J].应用数学和力学,1991,12(1):11~17. [13] 中国力学学会,中国科学院力学研究所 LNM 开放实验室.材料和结构的不稳定性[M].北京:科 学出版社,1993. [14] 王虎,王俊奎.复合材料三角形网格加筋圆锥壳体位移型稳定性方程及其总体稳定性分析[J].应用数学和力学,1991,12(4):359~368. [15] 张音翼.锥壳的风型荷载屈曲[A].见:程昌钧,戴世强,刘宇陆主编.现代数学和力学(MMM-Ⅶ)[C].上海:上海大学出版社,1997.

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