Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (2): 101-112.

• Articles •     Next Articles

ON THE NONLINEAR STABILITY OF A TRUNCATED SHALLOW SPHERICAL SHELL UNDER A CONCENTRATED LOAD

Liu Ren-huai1, Cheng Zhen-qiang2   

  1. 1. Shanghai University of Technology, Shanghai; University of Science and Technology of China, Hefei;
    2. University of Science and Technology of China, Hefei
  • Received:1987-01-06 Online:1988-02-18 Published:1988-02-18

Abstract: In this paper, the axisymmetric nonlinear stability of a clamped truncated shallow spherical shell with a nondeformable rigid body at the center under a concentrated load is investigated by use of the modified iteration method. The analytic formulas of second approximation for determining the upper and lower critical buckling loads are obtained.

Key words: nonlinear optimal control, dual variable, variational principle, multi-level iteration, symplectic algorithm

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