Dynamic flow resistivity based model for sound absorption of multi-layer sintered fibrous metals

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• 作者：Han Meng (1)
  QingBo Ao (2)
  HuiPing Tang (2)
  FengXian Xin (1)
  TianJian Lu (1)
  
• 关键词：sound absorption ; sintered fibrous material ; dynamic flow resistivity
• 刊名：SCIENCE CHINA Technological Sciences
• 出版年：2014
• 出版时间：November 2014
• 年：2014
• 卷：57
• 期：11
• 页码：2096-2105
• 全文大小：1,581 KB
• 参考文献：1. Tang H, Zhu J, Ge Y, et al. Sound absorbing characteristics of fibrous porous materials gradient structure. Rare Metal Mat Engin, 2007, 36: 2220鈥?223
  2. Zhang B, Chen T. Calculation of sound absorption characteristics of porous sintered fiber metal. Appl Acoust, 2009, 70: 337鈥?46 CrossRef
  3. Sun F, Chen H, Wu J, et al. Sound absorbing characteristics of fibrous metal materials at high temperatures. Appl Acoust, 2010, 71: 221鈥?35 CrossRef
  4. Zwikker C, Kosten C W. Sound Absorbing Materials. New York: Elsevier, 1949. 26鈥?4
  5. Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. J Acoust Soc Am, 1956, 168鈥?78
  6. Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range. J Acoust Soc Am, 1956, 28: 179鈥?91 CrossRef
  7. Attenborough K. Acoustical characteristics of rigid fibrous absorbents and granular materials. J Acoust Soc Am, 1983, 73: 785鈥?99 CrossRef
  8. Johnson D L, Koplik J, Dashen R. Theory of dynamic permeability and tortuosity in fluid-saturated porous-media. J Fluid Mech, 1987, 176: 379鈥?02 CrossRef
  9. Champoux Y, Allard J F. Dynamic tortuosity and bulk modulus in air-saturated porous-media. J Appl Phys, 1991, 70: 1975鈥?979 CrossRef
  10. Wilson D K. Relaxation-matched modeling of propagation through porous media, including fractal pore structure. J Acoust Soc Am, 1993, 94: 1136鈥?145 CrossRef
  11. Champoux Y, Stinson M R. On acoustical models for sound propagation in rigid frame porous materials and the influence of shape factors. J Acoust Soc Am, 1992, 92: 1120鈥?131 CrossRef
  12. Narang P. Material parameter selection in polyester fibre insulation for sound transmission and absorption. Appl Acoust, 1995, 45: 335鈥?58 CrossRef
  13. Voronina N. Acoustic properties of fibrous materials. Appl Acoust, 1994, 42: 165鈥?74 CrossRef
  14. Voronina N. An empirical model for rigid frame porous materials with high porosity. Appl Acoust, 1997, 51: 181鈥?98 CrossRef
  15. Voronina N. An empirical model for elastic porous materials. Appl Acoust, 1998, 55: 67鈥?3 CrossRef
  16. Voronina N. An empirical model for rigid-frame porous materials with low porosity. Appl Acoust, 1999, 58: 295鈥?04 CrossRef
  17. Voronina N, Horoshenkov K. A new empirical model for the acoustic properties of loose granular media. Appl Acoust, 2003, 64: 415鈥?32 CrossRef
  18. Garai M, Pompoli F. A simple empirical model of polyester fibre materials for acoustical applications. Appl Acoust, 2005, 66: 1383鈥?398 CrossRef
  19. Delany M E, Bazley E N. Acoustical properties of fibrous absorbent materials. Appl Acoust, 1970, 3: 105鈥?16 CrossRef
  20. Miki Y. Acoustical properties of porous materials-Modifications of Delany-Bazley models. J Acoust Soc Jap (E), 1990, 11: 19鈥?4 CrossRef
  21. Allard J F, Champoux Y. New empirical equations for sound propagation in rigid frame fibrous materials. J Acoust Soc Am, 1992, 91: 3346鈥?353 CrossRef
  22. Komatsu T. Improvement of the Delany-Bazley and Miki models for fibrous sound-absorbing materials. Acoust Sci Tech, 2008, 29: 121鈥?29 CrossRef
  23. Tang H, Zhu J, Wang J, et al. Sound Absorption Characters of Metal Fibrous Porous Material. Montreal: DEStech Publications, Inc, 2007. 181
  24. Huang K, Yang D H, He S Y, et al. Acoustic absorption properties of open-cell Al alloy foams with graded pore size. J Phys D: Appl Phys, 2011, 44: 365405 CrossRef
  25. Dup猫re I D J, Lu T J, Dowling A P, et al. Microstrutural optimization of celluar acoustic materials. J Xi鈥檃n Jiaotong Univ, 2007, 41: 1251鈥?256
  26. Tarnow V. Calculation of the dynamic air flow resistivity of fiber materials. J Acoust Soc Am, 1997, 102: 1680鈥?688 CrossRef
  27. Sangani A S, Yao C. Transport processes in random arrays of cylinders. II. Viscous flow. Phys Fluid, 1988, 31: 2435鈥?444 CrossRef
  
• 作者单位：Han Meng (1)
  QingBo Ao (2)
  HuiPing Tang (2)
  FengXian Xin (1)
  TianJian Lu (1)
  
  1. State Key Laboratory for Mechanical Structure Strength and Vibration, School of Aerospace, Xi鈥檃n Jiaotong University, Xi鈥檃n, 710049, China
  2. State Key Laboratory of Porous Metal Materials, Northwest Institute for Nonferrous Metal Research, Xi鈥檃n, 710016, China
  
• ISSN：1869-1900

文摘

The sound absorbing performance of the sintered fibrous metallic materials is investigated by employing a dynamic flow resistivity based model, in which the porous material is modeled as randomly distributed parallel fibers specified by two basic physical parameters: fiber diameter and porosity. A self-consistent Brinkman approach is applied to the calculation of the dynamic resistivity of flow perpendicular to the cylindrical fibers. Based on the solved flow resistivity, the sound absorption of single layer fibrous material can be obtained by adopting the available empirical equations. Moreover, the recursion formulas of surface impedance are applied to the calculation of the sound absorption coefficient of multi-layer fibrous materials. Experimental measurements are conducted to validate the proposed model, with good agreement achieved between model predictions and tested data. Numerical calculations with the proposed model are subsequently performed to quantify the influences of fiber diameter, porosity and backed air gap on sound absorption of uniform (single-layer) fibrous materials. Results show that the sound absorption increases with porosity at higher frequencies but decreases with porosity at lower frequencies. The sound absorption also decreases with fiber diameter at higher frequencies but increases at lower frequencies. The sound absorption resonance is shifted to lower frequencies with air gap. For multi-layer fibrous materials, gradient distributions of both fiber diameter and porosity are introduced and their effects on sound absorption are assessed. It is found that increasing the porosity and fiber diameter variation improves sound absorption in the low frequency range. The model provides the possibility to tailor the sound absorption capability of the sintered fibrous materials by optimizing the gradient distributions of key physical parameters.