Qin Sheng-li, Zhang Ai-shu. On the Problems of Buckling of an Annular Thin Plate[J]. Applied Mathematics and Mechanics, 1985, 6(2): 175-190.
Citation: Qin Sheng-li, Zhang Ai-shu. On the Problems of Buckling of an Annular Thin Plate[J]. Applied Mathematics and Mechanics, 1985, 6(2): 175-190.

On the Problems of Buckling of an Annular Thin Plate

  • Received Date: 1984-01-03
  • Publish Date: 1985-02-15
  • In this paper, problems of buckling of on annular thin plate under the action of in-plane pressure and transverse lood are studied by using the method of multiple scales. We obtain N-order uniformly valid asymptotic expansion of the solution. In the latter part of this paper we discuss a particular example, and calculate the critical value of in-plane pressure. We see that the asymptotic expansion obtained by the multiple scales is completely consistent with that of the exact solution.
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