Bifurcations of buckled, clamped anisotropic rods and thin bands under lateral end translations
Bifurcations of buckled, clamped anisotropic rods and thin bands under lateral end translations
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DOI：
10.1016/j.jmps.2018.01.015
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发表时间：
2017-08
影响因子：
5.3
通讯作者：
Tian Yu;J. Hanna
中科院分区：
文献类型：
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作者：
Tian Yu;J. Hanna
基于对屈曲弹性条在夹持和端部横向平移作用下的跳跃现象的观察，我们实验研究了不同宽度的薄带的多重稳定性和分叉，并将这些结果与理想各向异性Kirchhoff杆的数值延拓进行了比较。我们选择的边界条件不容易被各向异性结构所满足，迫使弯曲和扭转变形之间的协调。我们发现，尽管棒和条之间存在明显的物理差异，但天真的基尔霍夫模型作为实验观测的组织框架工作得令人惊讶。在这个模型的背景下，我们观察到各向异性创造了新的状态，并改变了现有状态之间的连通性。我们的结果是对各种工程应用中可能出现的杆和条的相对未研究的边界条件的初步考察，并可能指导在这种情况下避免跳跃现象。我们还简要地评论了当前带状模型的局限性。
Motivated by observations of snap-through phenomena in buckled elastic strips subject to clamping and lateral end translations, we experimentally explore the multi-stability and bifurcations of thin bands of various widths and compare these results with numerical continuation of a perfectly anisotropic Kirchhoff rod. Our choice of boundary conditions is not easily satisfied by the anisotropic structures, forcing a cooperation between bending and twisting deformations. We find that, despite clear physical differences between rods and strips, a naive Kirchhoff model works surprisingly well as an organizing framework for the experimental observations. In the context of this model, we observe that anisotropy creates new states and alters the connectivity between existing states. Our results are a preliminary look at relatively unstudied boundary conditions for rods and strips that may arise in a variety of engineering applications, and may guide the avoidance of jump phenomena in such settings. We also briefly comment on the limitations of current strip models.