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环形夹层板的屈曲状态
引用本文:何录武,程昌钧.环形夹层板的屈曲状态[J].应用数学和力学,1992,13(7):599-604.
作者姓名:何录武  程昌钧
作者单位:兰州大学力学系
基金项目:国家自然科学基金资助项目
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.

关 键 词:夹层板    打靶法    临界载荷    屈曲状态
收稿时间:1991-10-05

The Buckled States of Annular Sandwich Plates
He Lu-wu Cheng Chang-jun.The Buckled States of Annular Sandwich Plates[J].Applied Mathematics and Mechanics,1992,13(7):599-604.
Authors:He Lu-wu Cheng Chang-jun
Affiliation:Department of Mechanics, Lanzhou University, Lanzhou
Abstract:In this paper, the axisymmctric 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 states and obtain the asymptotic expansions of the buckled states in the vicinity of the critical loads.
Keywords:sandwich plate  shooting method  critical load  buckled state
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