论文标题

装有沿固定直线作用的力的结构,或“路透的列问题”

Structures loaded with a force acting along a fixed straight line, or the "Reut's column problem"

论文作者

Bigoni, Davide, Misseroni, Diego

论文摘要

弹性双摆受到沿固定直线作用的力,即所谓的“路透的圆柱问题”,是一种表现出颤音和差异不稳定性的结构,在实践中从未实现过,因此是为了代表现实还是仅仅代表现实还是猜测。在理论上和实验上都显示了如何通过利用刚性刀片的摩擦接触来获得REUT的载荷,以自由旋转的圆柱形约束,该约束以恒定的速度轴向移动,这一动作让人回想起小提琴上的弓形头发的动作。通过这种实验设置,扑动和差异不稳定性以及粘度对临界载荷的有害影响被无疑地记录在临界载荷上,从而终结了漫长的辩论。该结果开设了一个新的研究领域,并在机械执行器,高精度切割工具或能源收集设备上进行了透视应用。

An elastic double pendulum subject to a force acting along a fixed straight line, the so-called "Reut's column problem", is a structure exhibiting flutter and divergence instability, which was never realized in practice and thus debated whether to represent reality or mere speculation. It is shown, both theoretically and experimentally, how to obtain the Reut's loading by exploiting the contact with friction of a rigid blade against a freely-rotating cylindrical constraint, which moves axially at constant speed, an action recalling that of a bow's hair on a violin string. With this experimental set-up, flutter and divergence instabilities, as well as the detrimental effect of viscosity on critical loads, are documented indisputably, thus bringing an end to a long debate. This result opens a new research area, with perspective applications to mechanical actuators, high-precision cutting tools, or energy harvesting devices.

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