Steel and Composite Structures

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Innovative iteration technique for large deflection problem of annular plate

  • Chen, Y.Z. (Division of Engineering Mechanics, Jiangsu University)
  • Received : 2013.01.19
  • Accepted : 2013.05.24
  • Published : 2013.06.25
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Abstract

This paper provides an innovative iteration technique for the large deflection problem of annular plate. After some manipulation, the problem is reduced to a couple of ODEs (ordinary differential equation). Among them, one is derived from the plane stress problem for plate, and other is derived from the bending of plate. Since the large deflection for plate is assumed in the problem, the relevant non-linear terms appear in the resulting ODEs. The pseudo-linearization procedure is suggested to solve the problem and the nonlinear ODEs can be solved in the way for the solution of linear ODE. To obtain the final solution, it is necessary to use the iteration. Several numerical examples are provided. In the study, the assumed value for non-dimensional loading is larger than those in the available references.

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References

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