Quantitative analysis for acoustic characteristics of porous metal materials by improved Kolmogorov's turbulence theory

This paper investigates the sound absorbing property of porous metal materials quantitatively using turbulence analogy model. Firstly, the improved Kolmogorov's turbulence theory is obtained by catastrophe theory for the first time, to our knowledge. Secondly, a quantitative turbulence analogy model is proposed though the improved Kolmogorov's turbulence theory. Finally, this model is adopted to analyze the wave propagation inside the porous metal materials. The quantitative relationship of energy spectrum density is fully obtained, which is also related to the average pore diameter and porosity. With the increase of excitation frequency, the energy spectrum density decreases with certain power law. And the energy increases with the increase of the average pore diameter. Our theoretical results are consistent with the experimental results. Our study can provide a feasible theoretical guidance for controlling the vibration and noise of porous metal materials.