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工程力学  2012 

弹性压应力波作用下矩形薄板动力屈曲解析解

DOI: 10.6052/j.issn.1000-4750.2011.04.0204, PP. 12-15

Keywords: 动力屈曲,矩形薄板,双特征参数法,解析解,应力波

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Abstract:

根据板的非线性动力平衡方程和压缩波前附加约束方程,基于双特征参数法和应力波理论,求解了矩形薄板在面内轴向冲击载荷作用下动力屈曲位移的解析解。揭示了矩形薄板动力屈曲过程中板的厚宽比、屈曲模态、冲击载荷大小和临界屈曲长度之间的关系。求得的屈曲模态与之前文献中用差分解得出的结果吻合良好。

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