开孔薄板屈曲状态的存在性

基金项目: 国家教委博士点基金资助项目

The Existence of Buckled States on a Perforated Thin Plate

摘要: 基于[1,2]中对于开孔薄板建立的广义von Kármán理论,本文系统地研究了沿开孔薄板的每一条边界受自身平衡的面内外力作用时开孔薄板屈曲状态的存在性,这一工作全面地推广了[3,4]中的结果.
- 开孔薄板 /
- 多连通城域 /
- 修正von Kármán理论 /
- 屈曲状态 /
- 分支理论
Abstract: 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].
- perforated plate /
- multi-connected region /
- modified von Kármán theory /
- buckled state /
- bifurcation theorem

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