不同加载方式对环形弹性杆分岔的影响：理论与实验对比
Effects of different loading on the bifurcation of annular elastic rods: theory vs. experiments
AI总结：
本文通过理论与实验对比，澄清环形 Euler-Bernoulli 杆在三种径向加载下的分岔约束差异，并首次实现中心指向载荷实验，为缆索驱动柔性机器人提供基础。
摘要：
本文研究了圆形 Euler-Bernoulli 杆在均匀径向力分布作用下的分岔问题，并考察三种不同加载条件：（i）静水压力、（ii）中心指向载荷，以及（iii）恒载。以往关于这一看似“熟悉”的结构问题的研究得出了相互矛盾的结果，因此有必要进行全面澄清。本研究表明，此前被标记为“正确”或“错误”的结果实际上只是对应不同的外部约束；这些约束仅在后两种载荷（ii）和（iii）下才成为必要。此外，本文首次实验实现了承受中心指向载荷的圆形杆。实验结果与理论预测一致，并展示了如何利用作用于连续结构元件上的一种新型载荷。该载荷的可行性通过使用不可伸长缆索得到证明，并为在柔性机器人中利用缆索进行驱动开辟了应用道路。
英文摘要：
The bifurcation problem of a circular Euler-Bernoulli rod subject to a uniform radial force distribution is investigated under three distinct loading conditions: (i.) hydrostatic pressure, (ii.) centrally-directed, and (iii.) dead load. Previous studies on this apparently 'familiar' structural problem have yielded controversial results, necessitating a comprehensive clarification. This study shows that results previously labelled as 'correct' or 'wrong' simply refer to different external constraints, whose presence becomes necessary only for the two latter loads, (ii.) and (iii.). Moreover, the paper presents the first experimental realization of a circular rod subjected to centrally-directed loads. The experimental findings align with the theoretical predictions and show the exploitation of a new type of load acting on a continuous structural element. The feasibility of this load is demonstrated through the use of inextensible cables and opens the way to applications in flexible robotics when cables are used for actuation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
