Qiao Zong-chun. Application of the Modified Method of Multiple Scales to Solving the Problem of a Thin Clamped Circular Plate a Very Large Deflection[J]. Applied Mathematics and Mechanics, 1993, 14(10): 903-912.
Citation: Qiao Zong-chun. Application of the Modified Method of Multiple Scales to Solving the Problem of a Thin Clamped Circular Plate a Very Large Deflection[J]. Applied Mathematics and Mechanics, 1993, 14(10): 903-912.

Application of the Modified Method of Multiple Scales to Solving the Problem of a Thin Clamped Circular Plate a Very Large Deflection

  • Received Date: 1992-10-05
  • Publish Date: 1993-10-15
  • In this paper, asymptotic behaviour of the solution to the problem of a thin damped circular plate under uniform normal pressure at very large deflection is restudied by means of the modified method of multiple scales given in [1-2]. The result presented herein is in good agreement with the one obtained by professor Chien Wei-zang who first proposed the method of composite expansions to solve this problem in [3]. However, by contrast, the advantage of the modified method of multiple scales it seems to be relatively simpler than the method used in [3]. It is also shown that the restriction of the method of paper [1-2] pointed out in paper [4] is not essential, and several computation errors in [3] are corrected as well.
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  • [1]
    江福汝,环形和圆形薄板在各种支承条件下的非对称弯曲问题(Ⅰ),应用数学和力学,3(5)(1982),629-640.
    [2]
    江福汝,环形和圆形薄板在各种支承条件下的非对称弯曲问题(Ⅱ),应用数学和力学,5(2)(1984), 191-204.
    [3]
    Chien Wei-zang, Asymptotic behavior of a thin clamped circular plate under uniform norm al pressure at very large deflection,The Science Reports of Nationdl Tsing Huo Univ.,5(1)(1948), 71-94.
    [4]
    周焕文,奇异摄动法在薄板和薄壳的弯曲问题中的若干应用,应用数学和力学,5(4) (1984).481-488.
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