ON THE ACOUSTIC ABSORPTION OF POROUS MATERIALS WITH DIFFERENT SURFACE SHAPES AND PERFORATED PLATES

In architectural acoustic design, perforated plates are often used to protect porous materials from erosion. Although porous materials are usually applied to passive noise control, the effects of their surface shapes are seldom studied. To study the acoustic absorption of porous materials with different surface shapes and perforated plates, an efficient finite element procedure, which is derived by the Galerkin residual method and Helmholtz wave propagation equation, is used in this work. The two-microphone transfer function method and the modified Ingard and Dear impedance tube testing system are employed to measure the parameters deemed necessary for the finite element analysis, such as complex wave propagation constant, characteristic impedance and flow resistivity. For verifying the finite element results, the two-microphone transfer function method is also applied to measure the absorption coefficients of the discussed acoustic absorbers. Four surface shapes of commercially available porous materials, i.e., triangle, semicircle, convex rectangle and plate shapes, are chosen for analysis. The porosity of perforated plates is then evaluated. Finally, the distinct effect of the flow resistivity of porous materials on the acoustic absorption is demonstrated.

[1]  W. A. Davern Perforated facings backed with porous materials as sound absorbers—An experimental study , 1977 .

[2]  Ml Munjal,et al.  Finite element analysis of wedges used in anechoic chambers , 1993 .

[3]  Colin H. Hansen,et al.  Flow resistance information for acoustical design , 1980 .

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

[5]  T. A. Dear,et al.  Measurement of acoustic flow resistance , 1985 .

[6]  A. Craggs A finite element method for modelling dissipative mufflers with a locally reactive lining , 1977 .

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

[8]  Lawrence E. Kinsler,et al.  Fundamentals of acoustics , 1950 .

[9]  D. A. Blaser,et al.  Transfer function method of measuring in-duct acoustic properties. I - Theory. II - Experiment , 1980 .

[10]  Yeon June Kang,et al.  A finite element model for sound transmission through foam‐lined double‐panel structures , 1996 .

[11]  R. J. Astley,et al.  A finite element scheme for attenuation in ducts lined with porous material: Comparison with experiment , 1987 .

[12]  A. Craggs,et al.  Coupling of finite element acoustic absorption models , 1979 .

[13]  W. Koidan,et al.  Wedge Design for National Bureau of Standards Anechoic Chamber , 1972 .

[14]  W. A. Davern,et al.  Calculation of acoustic impedance of multi-layer absorbers , 1986 .

[15]  A. Cummings,et al.  Sound attenuation in ducts lined on two opposite walls with porous material, with some applications to splitters , 1976 .

[16]  George W. Swenson,et al.  Compact Sound Absorbers for Low Frequencies , 1992 .