A prediction method of the acoustical properties of multilayered noise control materials in standing wave-duct systems

Abstract A new experimental approach, herein referred to as hybrid multilayer prediction, for evaluating acoustical properties of multilayered treatments of noise control materials, such as the absorption ratio and transmission loss, is presented. The two-cavity and two-load methods (TLMs) were performed in a special standing wave duct with two configurations of two- and four-microphone holders. By referring to theoretical expressions and standard approaches, such as the standing wave ratio method from the literature, The validity of these two methods for measuring the transfer matrix was investigated, and some empirical conditions of using limits for the two-cavity and TLMs, based on great amounts of experimental data, were put forth. Based on the total four-pole transfer matrices calculated by combining the two-cavity method and the TLM, some prediction examples for a set of multilayered material treatments were conducted. The prediction results suggest that the newly proposed hybrid prediction method is feasible and effective and that it can be used directly to predict the acoustical properties of an exceedingly thick sample or a multilayer treatment consisting of variable materials. In view of engineering applications, the method may be used for optimizing the in situ designs of multilayered material systems or other noise-control configurations, such as automotive mufflers.

[1]  C.Y.R. Cheng,et al.  BOUNDARY ELEMENT ANALYSIS OF MUFFLERS WITH AN IMPROVED METHOD FOR DERIVING THE FOUR-POLE PARAMETERS , 1998 .

[2]  Wu Qunli Empirical relations between acoustical properties and flow resistivity of porous plastic open-cell foam , 1988 .

[3]  J. Stuart Bolton,et al.  Development of a New Sound Transmission Test for Automotive Sealant Materials , 1997 .

[4]  Hideo Utsuno,et al.  Transfer function method for measuring characteristic impedance and propagation constant of porous materials , 1989 .

[5]  A. G. Doige,et al.  Theory of a two source-location method for direct experimental evaluation of the four-pole parameters of an aeroacoustic element , 1990 .

[6]  Simone L. Yaniv Impedance tube measurement of propagation constant and characteristic impedance of porous acoustical material , 1973 .

[7]  K. R. Fyfe,et al.  Comparison and implementation of the various numerical methods used for calculating transmission loss in silencer systems , 2003 .

[8]  J. Stuart Bolton,et al.  Layered Fibrous Treatments for a Sound Absorption and Sound Transmission , 1997 .

[9]  A. F. Seybert,et al.  Experimental determination of acoustic properties using a two‐microphone random‐excitation technique , 1977 .

[10]  E. N. Bazley,et al.  Acoustical properties of fibrous absorbent materials , 1970 .

[11]  K. Attenborough Acoustical characteristics of rigid fibrous absorbents and granular materials , 1983 .

[12]  C. Y. R. Cheng,et al.  Exhaust Muffler Design and Analysis Using a Boundary Element Method Based Computer Program , 1999 .

[13]  Samir N. Y. Gerges,et al.  Numerical simulation and experimental tests of multilayer systems with porous materials , 1999 .

[14]  Yeon June Kang,et al.  Porous Materials for Sound Absorption and Transmission Control , 1997 .

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

[16]  Bolton,et al.  A transfer-matrix approach for estimating the characteristic impedance and wave numbers of limp and rigid porous materials , 2000, The Journal of the Acoustical Society of America.

[17]  Michiyuki Yamaguchi,et al.  Sound absorption mechanism of porous asphalt pavement , 1999 .

[18]  R. Scott,et al.  The absorption of sound in a homogeneous porous medium , 1946 .

[19]  P.O.A.L. Davies TRANSMISSION MATRIX REPRESENTATION OF EXHAUST SYSTEM ACOUSTIC CHARACTERISTICS , 1991 .

[20]  Leo L. Beranek,et al.  Acoustical Properties of Homogeneous, Isotropic Rigid Tiles and Flexible Blankets , 1947 .