| 引用本文: | 黄炎.矩形薄板弹性稳定性的解析解法.[J].国防科技大学学报,1989,11(3):61-70.[点击复制] |
| Huang Yan.An Analytical Method for Solving Elastic Stability of Rectangular Thin Plates[J].Journal of National University of Defense Technology,1989,11(3):61-70[点击复制] |
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| 矩形薄板弹性稳定性的解析解法 |
| 黄炎 |
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(航天技术系)
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| 摘要: |
| 本文求得了矩形薄板临界状态时的平衡屈曲挠度微分方程的一般解。可以求解任意边界条件下矩形薄板的临界载荷。以四边自由的正方形板为例求解了四边均匀受压的临界载荷及其屈曲波形。 |
| 关键词: 稳定性，屈曲，临界载荷 |
| DOI： |
| 投稿日期：1988-11-30 |
| 基金项目: |
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| An Analytical Method for Solving Elastic Stability of Rectangular Thin Plates |
| Huang Yan |
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(Department of Aerospace Technology)
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| Abstract: |
| A general solution of the differential equation of deflection surface for the rectangular thin plate in stability study is obtained in this paper. It can be used to determine the critical load of rectangular plate with arbitrary boundaries. As an example，the critical load and buckling mode of a square plate with four edges free and subjected to uniform compression along four edges have been calculated. |
| Keywords: stability,buckling,critical load |
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