Zhang Ruojing. Novel Solutions of Toroidal Shells Under Axisymmetric Loading[J]. Applied Mathematics and Mechanics, 1999, 20(5): 491-498.
Citation: Zhang Ruojing. Novel Solutions of Toroidal Shells Under Axisymmetric Loading[J]. Applied Mathematics and Mechanics, 1999, 20(5): 491-498.

Novel Solutions of Toroidal Shells Under Axisymmetric Loading

  • Received Date: 1997-10-10
  • Rev Recd Date: 1998-11-05
  • Publish Date: 1999-05-15
  • Several improvements are made for existing asymptotic expansions for the axisymmetric toroidal shells.The new expansions are numerically satisfaytory and satisfy the accuracy of the theory of thin shells.All of them are expressed in terms of generalized Airy functions,instead of Bessel or Airy function for the homogeneous and Lommel function for the particular solutions,respectively,as in the existing work.In fact,three particular solutions are given in the paper,one of which is just the solution obtained by Tumarkin(1959) and Clark(1963).
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