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Writhing instabilities of twisted rods: from infinite to finite length

机译:扭杆的扭曲不稳定性:从无限到有限的长度

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摘要

We use three different approaches to describe the static spatial configurations of a twisted rod as well as its stability during rigid loading experiments. The first approach considers the rod as infinite in length and predicts an instability causing a jump to self-contact at a certain point of the experiment. Semi-finite corrections, taken into account as a second approach, reveal some possible experiments in which the configuration of a very long rod will be stable through out. Finally, in a third approach, we consider a rod of real finite length and we show that another Type of instability may occur, leading to possible hysteresis behavior.
机译:我们使用三种不同的方法来描述扭杆的静态空间配置及其在刚性载荷实验过程中的稳定性。第一种方法认为杆的长度是无限的,并预测不稳定性会导致在实验的特定点跳到自接触。作为第二种方法考虑到的半有限校正揭示了一些可能的实验,在这些实验中,很长的杆的构型将一直稳定。最后,在第三种方法中,我们考虑了长度有限的杆,并表明可能会发生另一种类型的不稳定性,从而导致可能出现的磁滞现象。

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