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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Comment on: 'Peculiarities in the energy transfer by waves on strained strings' (Phys. Scr. 88 065402)
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Comment on: 'Peculiarities in the energy transfer by waves on strained strings' (Phys. Scr. 88 065402)

机译：评论：“张紧的弦上的波浪传递能量的特殊性”（Phys。Scr。88 06540​​2）

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Contrary to what is conventionally assumed, to determine the location and flow of potential energy in vibrating strings, the effects of longitudinal displacements need to be taken into account, even when these displacements are much smaller than the associated transverse displacements. In a recent paper, Butikov (2013 Phys. Scr. 88 065402) investigated the implications of this fact and found an infinitely long transverse travelling wave with associated longitudinal disturbance where the associated potential energy density apparently travelled along with the transverse wave at the transverse wave speed. This finding contradicts previous results with transverse pulses which show that in the presence of a unidirectional transverse travelling wave, potential energy propagates at the longitudinal not transverse wave speed. This apparent contradiction is reconciled in this paper by considering a finite length of Butikov's infinitely long travelling wave. It is shown that the energy flow found by Butikov is the net effect of potential energy propagating in both directions at the longitudinal wave speed, a fact that is hidden when a wave of infinite length is considered. This conclusion is supported by a general theoretical result. In addition, it is shown that Butikov's claim that the part of the potential energy density proportional to the first spatial derivative of the longitudinal displacement represents a relocation of the pre-existing potential energy which the string has due to the initial stretching required to create a tension in the string is only valid in a limited number of situations. In most of the examples considered, the term represents a relocation of the potential energy of the wave, though in general it can have many different physical interpretations.
机译：与常规假设相反，要确定振动弦中势能的位置和流量，即使这些位移远小于相关的横向位移，也需要考虑纵向位移的影响。 Butikov（2013 Phys。Scr。88 06540​​2）在最近的一篇论文中研究了这一事实的含义，发现了无限长的横向行波以及相关的纵向扰动，其中相关的势能密度显然与横向波一起在横向波处传播速度。这一发现与横向脉冲的先前结果相矛盾，横向脉冲表明，在存在单向横向行波的情况下，势能以纵向而非横向波的速度传播。通过考虑Butikov无限长的行波的有限长度，可以解决这一明显的矛盾。结果表明，布蒂科夫发现的能量流是在纵向波速下双向传播的势能的净效应，当考虑无限长的波时，这一事实就被隐藏了。该结论得到一般理论结果的支持。此外，还显示了Butikov的主张，即与纵向位移的一阶空间导数成比例的势能密度部分代表了弦的原始存在的势能的重定位，这是由于弦产生的初始拉伸所必需的。弦中的张力仅在少数情况下有效。在大多数考虑的示例中，该术语表示波的势能的重定位，尽管通常它可以具有许多不同的物理解释。

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