Inextensibility and Its Effect on the Number of Equilibria of Shallow Buckled Beams
Inextensibility and Its Effect on the Number of Equilibria of Shallow Buckled Beams
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DOI：
10.1115/1.4048199
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发表时间：
2020-12
期刊：
影响因子：
--
通讯作者：
P. S. Harvey;R. Wiebe;T. Cain
中科院分区：
文献类型：
--
作者：
P. S. Harvey;R. Wiebe;T. Cain
考虑了侧向约束下的浅隆起屈曲梁。初始上升是由规定的末端位移引起的。梁的模型是不可伸缩的，平衡点的解析解是从一个约束能量最小化问题得到的。为简单起见，推导出了两端带有销钉的原型梁的结果。结果表明，存在无穷多个零侧向载荷平衡，每个平衡对应一种欧拉屈曲模式。用一个数值模型验证了模型的准确性，并探讨了延伸性的影响。
A buckled beam with shallow rise under lateral constraint is considered. The initial rise results from a prescribed end displacement. The beam is modeled as inextensible, and analytical solutions of the equilibria are obtained from a constrained energy minimization problem. For simplicity, the results are derived for the archetypal beam with pinned ends. It is found that there are an infinite number of zero lateral-load equilibria, each corresponding to an Euler buckling mode. A numerical model is used to verify the accuracy of the model and also to explore the effects of extensibility.