Chien Wei-zang, Ru Xue-ping. A Further Study of the Theory of Elastic Circular Plates with Non-Kirchhoff-Love Assumptions[J]. Applied Mathematics and Mechanics, 1995, 16(2): 95-106.
Citation: Chien Wei-zang, Ru Xue-ping. A Further Study of the Theory of Elastic Circular Plates with Non-Kirchhoff-Love Assumptions[J]. Applied Mathematics and Mechanics, 1995, 16(2): 95-106.

A Further Study of the Theory of Elastic Circular Plates with Non-Kirchhoff-Love Assumptions

  • Received Date: 1994-05-24
  • Publish Date: 1995-02-15
  • Based on the general theory of elastic plates which abandons Kirchhoff-Love assunption in the classical theory.this paper establishes a first order approximation theory of elastic circular plates with non-Kirchhoff-Love assumption,and presents ananalytic solution to the axisymmetric problem of elastic circular plates with clamped boundary under uniformly distributed load.By comparing with the classical solution of the thin circular plates,it is verified that the new solution is closer to the experiment results than the classical solution.By virtue of the new theory.the influence of thediameter-to-thickness ratio upon the precision of the classical theory is examined.
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  • [1]
    钱伟长,不用克希霍夫一拉夫假定的弹性板理论初探,上海工业大学学报,15(1)(1994),1-28.
    [2]
    Kirchhoff,G.,Über das Gleichgewicht and die Bewegung einer elastischen Scheibe Journal fur die reine und angeirandte Math.(Crulle).40(1850),51-88.
    [3]
    Love,A.E.H.,A Treatise on the Mathematical Theory of Elasticitr,Cambridge(1927).
    [4]
    McPherson,A.E.,W.Ramberg and S.Levy,Normal Pressure Tests on Circular Plates with Clamped Edges,N.A.C.A.,Report,744(1942).
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