Abstract

In this article, the concept of dynamically fractal structures (dynamic fractals) is introduced. The concept supposes that the dynamic, i.e., elastic–inertial, parameters of the constituent cells change on an equal scale. It is shown that a lengthwise descending dynamic fractal has the property of amplifying the input signal along the structure. On the contrary, a lengthwise increasing dynamic fractal, the attenuation rate of which is higher than that of the periodic structure, has good vibration isolation properties. The dynamic properties of the Pacinian corpuscle, a vibration receptor that detects vibrations, have been studied. A mechanical model of the corpuscle has been constructed. It is shown that a vibration receptor is a fractal with lengthwise decreasing parameters that, therefore, amplifies the input signal, which allows detecting even weak vibration impacts on a human being.

中文翻译：

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生物力学中的动态分形：Pacinian小体的振动受体

摘要

在本文中，介绍了动态分形结构（dynamic fractals）的概念。该概念假定组成单元的动态参数（即弹性惯性）以相等的比例变化。结果表明，纵向下降的动态分形具有沿结构放大输入信号的特性。相反，纵向增加的动态分形具有良好的隔振性能，该动态分形的衰减率高于周期性结构的分形。已经研究了Pacinian小球的动态特性，该小球是检测振动的振动接收器。小球的力学模型已经建立。结果表明，振动接收器是分形的，其参数沿长度方向递减，因此会放大输入信号，