Yeh Kai-yuan, Song Wei-ping. Deformations and Stability of Spherical Caps under Centrally Distributed Pressures[J]. Applied Mathematics and Mechanics, 1988, 9(10): 857-864.
Citation: Yeh Kai-yuan, Song Wei-ping. Deformations and Stability of Spherical Caps under Centrally Distributed Pressures[J]. Applied Mathematics and Mechanics, 1988, 9(10): 857-864.

Deformations and Stability of Spherical Caps under Centrally Distributed Pressures

  • Received Date: 1987-04-06
  • Publish Date: 1988-10-15
  • In this paper the deformations and stability in large axisymmetric deflection of spherical caps under centrally distributed pressures are investigated. The Newton-spline method for solving the nonlinear equations governing large axisymmetric deflection of spherical caps is presented. The buckling behavior is studied for a cap with fixed geometry when the size of the loaded radius is allowed to vary, and for a fixed loaded radius when the shell geometry is allowed to vary. The influence of the buckling modes on the critical loads is analysed. Numerical results are given for v=0.3.
  • loading
  • [1]
    Stephens, W.B. and R.E. Fulton, Axisymmetric static and dynamic buckling of spherical caps due to centrally distributed pressures, AIAA J., 7, 11(1969), 2120-2126.
    [2]
    Mescall, J.F., Large deflections of spherical shells under concentrated, distributed and ring loadings, Proc. 4th Southeastern Conf. on Theo. Appl. Mech.(1968), 183-197.
    [3]
    Fitch, J.R. and B. Budiansky, Buckling and postbuckling behavior of spherical caps under axisymmetric load, AIAA J., 8, 4(1970), 686-693.
    [4]
    宋卫平,圆平板的轴对称非线性弯曲,兰州大学学报(自然科学版),22, 1, (1986), 14-23.
    [5]
    李岳生、齐东旭, 《样条函数方法》,科学出版社(1979).
    [6]
    Mescall, J.F., Large deflections of spherical shells under concentrated loads, J. Appl. Mech., 32, 4(1965), 936-938.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1670) PDF downloads(502) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return