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首页> 外文期刊>International journal of non-linear mechanics >A fractal approach of the sound absorption behaviour of materials. Theoretical and experimental aspects
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A fractal approach of the sound absorption behaviour of materials. Theoretical and experimental aspects

机译：材料吸声特性的分形方法。理论和实验方面

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In the materials area there are many theoretical and experimental investigations concerning their sound absorption behaviour, covering a wide range of applications. An alternative approach consists in identifying the ensemble acoustic field-propagation environment with a fractal gives its functionality in the form of structure parameters that is dependent on scale resolution. These fractal parameters can be matched with "classical" ones typical for sound absorption experiments in various materials. The mathematical methodology presented here implies the substitution of a dynamics with constraints on continuous but differentiable curves, in an Euclidian space, with "synchronous" dynamics, free from any constraints, on continuous but non-differentiable curves with various fractal dimensions but on a fractal space (i.e. the geodesics of that space). In a very special representation, the external constraints select the fractal geodesics type. In our study this "type selection" refers to the geodesics tunnel effect of fractal (acoustic) type for which we calculate the reflectance and the transparency of an external fractal barrier. An experimental procedure, using a modified impedance tube technique, to determine the sound absorption coefficients for various composite materials was conducted. The procedure uses an anechoic room and the measured sound absorption coefficients also include the sound transmission. The fractal approach of the acoustic behaviour, through the fractal parameters determined (transparency and reflectance) matched the experimental results, in terms of sound absorption, emphasizing the high degree of generality of the fractal theory in the dynamics of physical processes.
机译：在材料领域，有许多关于其吸声特性的理论和实验研究，涉及广泛的应用领域。另一种方法是用分形来识别集成声场传播环境，并以取决于尺度分辨率的结构参数的形式给出其功能。这些分形参数可以与在各种材料中进行吸声实验的“经典”参数相匹配。这里介绍的数学方法论意味着在欧氏空间中用连续但可微分的曲线上的约束代替动力学，而在不分形维数的连续但不可微的曲线上用不分任何约束的“同步”动力学来代替。空间（即该空间的测地线）。在非常特殊的表示中，外部约束条件选择分形测地线类型。在我们的研究中，这种“类型选择”是指分形（声学）类型的测地线隧道效应，通过该效应我们可以计算外部分形屏障的反射率和透明度。进行了使用改进的阻抗管技术的实验程序，以确定各种复合材料的吸声系数。该程序使用消声室，并且测得的吸声系数也包括声音传输。通过确定的分形参数（透明度和反射率），声学行为的分形方法在吸声方面与实验结果相匹配，从而强调了分形理论在物理过程动力学中的高度普遍性。

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