Optimization of low frequency sound absorption by cell size control and multiscale poroacoustics modeling

Abstract Sound absorption of a polyurethane (PU) foam was predicted for various geometries to fabricate the optimum microstructure of a sound absorbing foam. Multiscale numerical analysis for sound absorption was carried out by solving flow problems in representative unit cell (RUC) and the pressure acoustics equation using Johnson-Champoux-Allard (JCA) model. From the numerical analysis, theoretical optimum cell diameter for low frequency sound absorption was evaluated in the vicinity of 400 μm under the condition of 2 cm-80 K (thickness of 2 cm and density of 80 kg/m3) foam. An ultrasonic foaming method was employed to modulate microcellular structure of PU foam. Mechanical activation was only employed to manipulate the internal structure of PU foam without any other treatment. A mean cell diameter of PU foam was gradually decreased with increase in the amplitude of ultrasonic waves. It was empirically found that the reduction of mean cell diameter induced by the ultrasonic wave enhances acoustic damping efficiency in low frequency ranges. Moreover, further analyses were performed with several acoustic evaluation factors; root mean square (RMS) values, noise reduction coefficients (NRC), and 1/3 octave band spectrograms.

[1]  Chul B. Park,et al.  Ultrasonic Irradiation Enhanced Cell Nucleation in Microcellular Poly(lactic Acid): A Novel Approach to Reduce Cell Size Distribution and Increase Foam Expansion , 2011 .

[2]  T. Lu,et al.  Sound absorption of cellular metals with semiopen cells. , 2000, The Journal of the Acoustical Society of America.

[3]  Peter Göransson,et al.  Acoustic and vibrational damping in porous solids , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[4]  Malcolm J. Crocker,et al.  Effects of thickness and delamination on the damping in honeycomb-foam sandwich beams , 2006 .

[5]  HARALD KREBS,et al.  Effects of Stressful Noise on Eating and Non-eating Behavior in Rats , 1996, Appetite.

[6]  Dongjin Seo,et al.  Numerical simulation of mold filling in foam reaction injection molding , 2003 .

[7]  J. Youn,et al.  Bubble growth in reaction injection molded parts foamed by ultrasonic excitation , 1999 .

[8]  R. Panneton,et al.  Elastic characterization of closed cell foams from impedance tube absorption tests. , 2007, The Journal of the Acoustical Society of America.

[9]  Joel Koplik,et al.  Theory of dynamic permeability and tortuosity in fluid-saturated porous media , 1987, Journal of Fluid Mechanics.

[10]  Kazuhiro Suzuki,et al.  Relationship between Sound Absorption Property and Microscopic Structure Determined by X-ray Computed Tomography in Urethane Foam Used as Sound Absorption Material for Automobiles , 2008 .

[11]  C. Torres-Sánchez,et al.  Toward Functionally Graded Cellular Microstructures , 2009 .

[12]  Malcolm J. Crocker,et al.  Recent Trends in Porous Sound-Absorbing Materials , 2010 .

[13]  A. Craggs,et al.  A finite element model for rigid porous absorbing materials , 1978 .

[14]  Denis Lafarge,et al.  Dynamic compressibility of air in porous structures at audible frequencies , 1997 .

[15]  Arnaud Duval,et al.  Microstructure, transport, and acoustic properties of open-cell foam samples: Experiments and three-dimensional numerical simulations , 2011 .

[16]  Robert J. S. Brown,et al.  Connection between formation factor for electrical resistivity and fluid‐solid coupling factor in Biot’s equations for acoustic waves in fluid‐filled porous media , 1980 .

[17]  J. Youn,et al.  Processing of microcellular nanocomposite foams by using a supercritical fluid , 2004 .

[18]  F. Xin,et al.  A simplistic unit cell model for sound absorption of cellular foams with fully/semi-open cells , 2015 .

[19]  J. Youn,et al.  Ultrasonic Bubble Nucleation in Reaction Injection Moulding of Polyurethane , 1994 .

[20]  Kirill V. Horoshenkov,et al.  Acoustic absorption in re-cycled rubber granulate , 1999 .

[21]  Chanjoong Kim,et al.  ENVIRONMENTALLY FRIENDLY PROCESSING OF POLYURETHANE FOAM FOR THERMAL INSULATION , 2000 .

[22]  C. Torres-Sánchez,et al.  Effects of ultrasound on polymeric foam porosity. , 2008, Ultrasonics sonochemistry.

[23]  M. E. Bryan A tentative criterion for acceptable noise levels in passenger vehicles , 1976 .

[24]  Raymond Panneton,et al.  Dynamic viscous permeability of an open-cell aluminum foam: Computations versus experiments , 2008 .

[25]  Maurice A. Biot,et al.  Generalized Theory of Acoustic Propagation in Porous Dissipative Media , 1962 .

[26]  N. Bhatnagar,et al.  Ultrasound‐induced nucleation in microcellular polymers , 2014 .

[27]  J. Youn,et al.  Study of reaction injection molding of polyurethane microcellular foam , 1995 .

[28]  Diogo Mateus,et al.  Sound insulation provided by single and double panel walls???a comparison of analytical solutions versus experimental results , 2004 .

[29]  Anders Nilsson,et al.  Wave propagation in and sound transmission through sandwich plates , 1990 .

[30]  Myung Sool Koo,et al.  Reaction injection molding of polyurethane foam for improved thermal insulation , 2001 .

[31]  G. Bonnet,et al.  Linear elastic properties derivation from microstructures representative of transport parameters. , 2013, The Journal of the Acoustical Society of America.

[32]  R. Rylander,et al.  THE PREVALENCE OF ANNOYANCE AND EFFECTS AFTER LONG-TERM EXPOSURE TO LOW-FREQUENCY NOISE , 2001 .

[33]  F. J. Langdon Noise nuisance caused by road traffic in residential areas: Part III , 1976 .

[34]  M. Leamy,et al.  Acoustic absorption calculation in irreducible porous media: a unified computational approach. , 2009, The Journal of the Acoustical Society of America.

[35]  J. Yu,et al.  Ultrasonic irradiation enhanced cell nucleation: An effective approach to microcellular foams of both high cell density and expansion ratio , 2008 .

[36]  Alberto Gonzalez,et al.  Sound quality of low-frequency and car engine noises after active noise control , 2003 .

[37]  N. Broner,et al.  The effects of low frequency noise on people—A review , 1978 .

[38]  Milo S. P. Shaffer,et al.  Enhanced acoustic damping in flexible polyurethane foams filled with carbon nanotubes , 2009 .

[39]  M. Biot Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range , 1956 .

[40]  L. Hervella-Nieto,et al.  Review in Sound Absorbing Materials , 2008 .

[41]  J S Bolton,et al.  An axisymmetric poroelastic finite element formulation. , 1999, The Journal of the Acoustical Society of America.

[42]  Denis Lafarge,et al.  On the dynamic viscous permeability tensor symmetry. , 2008, The Journal of the Acoustical Society of America.

[43]  Yeon June Kang,et al.  Two-dimensional poroelastic acoustical foam shape design for absorption coefficient maximization by topology optimization method. , 2008, The Journal of the Acoustical Society of America.

[44]  Mahmoud M. Farag,et al.  Quantitative methods of materials substitution: Application to automotive components , 2008 .

[45]  Chang-Sik Ha,et al.  Sound Absorption Properties of Polyurethane/Nano-Silica Nanocomposite Foams , 2012 .

[46]  T. Zieliński Generation of random microstructures and prediction of sound velocity and absorption for open foams with spherical pores. , 2015, The Journal of the Acoustical Society of America.

[47]  A. Tannenbaum,et al.  The 3D structure of real polymer foams. , 2004, Journal of colloid and interface science.

[48]  J. Yu,et al.  Heterogeneous nucleation uniformizing cell size distribution in microcellular nanocomposites foams , 2006 .

[49]  Kazuhiro Suzuki,et al.  Effect of Microscopic Internal Structure on Sound Absorption Properties of Polyurethane Foam by X-ray Computed Tomography Observations , 2009 .

[50]  Olga Umnova,et al.  Acoustical properties of double porosity granular materials. , 2011, The Journal of the Acoustical Society of America.

[51]  Wu Jie-jun,et al.  Damping and sound absorption properties of particle reinforced Al matrix composite foams , 2003 .

[52]  Raymond Panneton,et al.  Bottom-up approach for microstructure optimization of sound absorbing materials. , 2008, The Journal of the Acoustical Society of America.

[53]  N. J. Mills,et al.  Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells , 1997 .

[54]  Hui Ma,et al.  Standardized noise annoyance scales in Chinese, Korean and Vietnamese , 2004 .

[55]  Yvan Champoux,et al.  Dynamic tortuosity and bulk modulus in air‐saturated porous media , 1991 .

[56]  C. Perrot,et al.  Development of acoustically effective foams: a new micro-macro optimization method , 2012 .

[57]  Stelios Kyriakides,et al.  Compressive response of open-cell foams. Part I: Morphology and elastic properties , 2005 .

[58]  T. Lu,et al.  Sound absorption in metallic foams , 1999 .

[59]  J.H.B. Zarek,et al.  Sound absorption in flexible porous materials , 1978 .

[60]  Yagang Yao,et al.  Sound insulation property of wood-waste tire rubber composite , 2010 .

[61]  T. Zieliński Microstructure-based calculations and experimental results for sound absorbing porous layers of randomly packed rigid spherical beads , 2014 .