环形夹层板的屈曲状态
The Buckled States of Annular Sandwich Plates
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摘要: 本文根据Reissner假设讨论了内外边界固支并在外边界上受面内径向均匀压力作用的环形夹层板的轴对称屈曲状态.首先给出了屈曲问题的基本方程;其次,用打靶法对一些参数值给出了最小的临界载荷;最后讨论了在临界载荷附近屈曲状态的存在性及其渐近形式.Abstract: In this paper, the axisymmetric buckled states of an annular sandwich plate (Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer edge are studied. Firstly, the basic equation of the buckled problem is derived. Secondly, the critical loads for some parameters are obtained by using the shooting method. Finally, we discuss the existence of the buckled slates in the vicinity of the critical loads and obtain the asymptotic expansions of the buckled states.
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Key words:
- sandwich plate /
- shooting method /
- critical load /
- buckled state
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[1] Leissa,A.W.,A review of laminated composite plate buckling,Appl.Mech.Rev.,40,5(1987). [2] 何录武,夹层板的屈曲和分支,兰州大学博士学位论文(1990). [3] 程昌钧、朱正佑,《结构的屈曲与分叉》,兰州大学出版社(1991). [4] 程昌钧、朱正佑,环形板的屈曲状态,中国科学(A),(3) (1986). [5] 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). [6] Roberts,S.M.and J.S.Shipman,Two-point Boundary Value Problems: Shooting Methods,American Elsevier Publishing Company,Inc.(1972). -
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