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

• 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.
•  [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.

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