Cheng Chang-jun, Yang Xiao. The Existence of Buckled States on a Perforated Thin Plate[J]. Applied Mathematics and Mechanics, 1992, 13(8): 699-709.
Citation: Cheng Chang-jun, Yang Xiao. The Existence of Buckled States on a Perforated Thin Plate[J]. Applied Mathematics and Mechanics, 1992, 13(8): 699-709.

The Existence of Buckled States on a Perforated Thin Plate

  • Received Date: 1991-04-22
  • Publish Date: 1992-08-15
  • On the basis of the generalized von Kármán theory for perforated thin plates established in [1,2], the existence of buckled states for perforated plates subjected to self-equilibrating inplane forces along each edge systematically is investigated. This work completely generalizes the results in [3, 4].
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  • [1]
    朱正佑、程昌钧,关于开孔薄板大挠度问题的一般数学理论,力学学报,18(2) (1986),123-135.
    [2]
    程昌钧、吕小安,关于开孔薄板大挠度问题的一般数学理论(续),力学学报,21(2) (1989),193-203
    [3]
    Berger, M., On yon Kármán equation and the buckling of a thin elastic plate Ⅰ: The clamped plate, Comm. Pure Appl. Math., 20, 4 (1967), 687-719.
    [4]
    Berger, M. and P. File, On von kármán equation and the buckling of a thin elastic plate Ⅱ, Comm. Pure Appl. Math., 21, 3 (1968), 227-241.
    [5]
    Adams, R. A., Sobolev Spaces, Academic Press, New York (1975).
    [6]
    Rektorys, Karel, Variational Methods in Mathematics, Science and Engineering, D. Reidel Publishing Company(1975).
    [7]
    钱伟长,《广义变分原理》,科学出版社(1985),
    [8]
    Berger, M., An eigenvalue problem for non-linear elliptic partial differential equation, Trans. A. M. S., 120(1965), 154-184.
    [9]
    Agnon, S., The Lp approach to the Dirichiet problem, Ann. Scuola di Pisa, 13(1959), 504-448.
    [10]
    Dunford, Nelson and Jacob T., Schwartz, Linear Operators, Part Ⅰ: Generai Theory, INC., New York (1958).
    [11]
    朱正佑、程昌钧,《分支问题的数值计算方法》,兰州大学出版社(1989).
    [12]
    Chow, Shui-nee and Jack K. Hale, Methods of Bifurcation Theory, Springer-Verlag, New York, Berlin, Heidelberg (1982).
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