Indentation and stability of woven domes
Indentation and stability of woven domes
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DOI：
10.1016/j.eml.2023.101968
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发表时间：
2023-01
影响因子：
4.7
通讯作者：
Samuel Poincloux;Célestin Vallat;Tian Chen;T. Sano;P. Reis
中科院分区：
文献类型：
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作者：
Samuel Poincloux;Célestin Vallat;Tian Chen;T. Sano;P. Reis
离散穹顶是双曲结构，包括梁状元件的网络。我们研究的力学离散圆顶的带状编织在一个五边形的三轴模式。实验和有限元模拟进行表征每个编织圆顶压痕下的力学响应。所观察到的非线性响应功能的力最大值，通过反转，和非单调的演变，导致额外的稳定配置。穹顶的静止形状可以通过设计带状物的面内曲率来连续调节，然后通过在其末端处的可调节的夹紧边界条件来扰动。利用这些控制参数来平滑地和选择性地修改机械响应的非线性特征，包括多稳定性。最后，我们提出了一个基于弹性近似的简化模型，成功地预测了反演状态的稳定性。强的几何约束所施加的编织图案和丝带，使我们能够合理化和调整这些有趣的离散结构的压痕响应。
Discrete domes are doubly curved structures comprising a network of beam-like elements. We study the mechanics of discrete domes made of ribbons woven in a pentagonal triaxial pattern. Experiments and finite element simulations are performed to characterize the mechanical response of each woven dome under indentation. The observed nonlinear response features force maxima, snap-through inversion, and non-monotonic evolution, leading to additional stable configurations. The dome’s rest shape can be tuned continuously by designing the in-plane curvature of the ribbons and is then perturbed by adjustable clamped boundary conditions at their extremities. These control parameters are leveraged to smoothly and selectively modify the nonlinear features of the mechanical response, including multi-stability. Finally, we suggest a simplified model based on an elastica approximation to predict the stability of the inverted state successfully. The strong geometrical constraints imposed by the weaving pattern and the ribbons enable us to rationalize and tune the indentation response of these intriguing discrete structures.