Acoustic transmission performance of double-wall active sound packages in a tube: Numerical/experimental validations

A method based on the combination of the (u, p) formulation and the finite element approach is proposed for calculating the transmission loss of double-wall active sound packages with porous-material cores in a rectangular tube. The (u, p) formulation based on the displacement in the solid phase and the pressure in the fluid phase is rewritten to investigate sound propagation in porous materials, and the coupled boundary conditions and related parameters involved are given. The transmission loss of the double-wall active sound packages excited by a plane wave is calculated via the COMSOL environment with passive and active control. Moreover, a two source-location method is developed to measure the transmission loss of these double-wall active sound packages in a rectangular tube. Some results from numerical examples are shown to be in good agreement with the measured data. It is concluded that with active control, the transmission loss of double-wall active sound packages can be improved by more than 10 dB around resonance frequencies.

[1]  Wim Desmet,et al.  Active control of sound transmission through a double panel partition , 1993 .

[2]  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.

[3]  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 .

[4]  C. Lamarque,et al.  A Free Interface CMS Technique to the Resolution of Coupled Problem Involving Porous Materials, Application to a Monodimensional Problem , 2010 .

[5]  Olivier Doutres,et al.  Validity of the limp model for porous materials: a criterion based on the Biot theory. , 2007, The Journal of the Acoustical Society of America.

[6]  C. Lamarque,et al.  AN EXTENSION OF COMPLEX MODES FOR THE RESOLUTION OF FINITE-ELEMENT POROELASTIC PROBLEMS , 2002 .

[7]  Hendrik Van Brussel,et al.  Experimental study of the active sound transmission reduction through a double panel test section , 1998 .

[8]  Marie-Annick Galland,et al.  Hybrid passive/active absorbers for flow ducts , 2005 .

[9]  Li Liang-jun,et al.  Analysis of the Tolerance of Sound Transmission Loss Measured by Four-Microphone in Standing Wave Tube , 2008 .

[10]  Yeon June Kang,et al.  Finite element modeling of isotropic elastic porous materials coupled with acoustical finite elements , 1995 .

[11]  R. Vaicaitis,et al.  Active control of vibrations and noise of double wall cylindrical shells , 1998 .

[12]  Marie-Annick Galland,et al.  Identification of the Characteristic Parameters of Porous Media Using Active Control , 2002 .

[13]  A. F. Seybert,et al.  A Review of Current Techniques for Measuring Muffler Transmission Loss , 2003 .

[14]  Paolo Gardonio,et al.  Active Control of Structure-Borne and Airborne Sound Transmission Through Double Panel , 1998 .

[15]  D. Hothersall,et al.  THE VIBRATIONAL RESPONSE OF A CLAMPED RECTANGULAR POROUS PLATE , 2001 .

[16]  Jie Pan,et al.  Experimental study of different approaches for active control of sound transmission through double walls , 1997 .

[17]  Zhu Bei.  Four-microphone Method of Sound Transmission in the Standing Wave Tube , 2002 .

[18]  C. Molloy.  Propagation of Sound in Porous Materials , 1964 .

[19]  A. Prieto,et al.  Finite element solution of new displacement/pressure poroelastic models in acoustics , 2006 .

[20]  Zhu Bei-li.  The Modified Computation of the Complex Transmission Coefficient of Acoustical Panel in Standing Wave Tube , 2007 .

[21]  Mohamed Ichchou,et al.  A finite-element study of a piezoelectric/poroelastic sound package concept , 2007 .

[22]  A. Cummings,et al.  Transverse vibrations of a thin rectangular porous plate saturated by a fluid , 2001 .

[23]  Seung-Bok Choi,et al.  Noise reduction of passive and active hybrid panels , 2002 .

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

[25]  Johnson,et al.  Broadband control of plate radiation using a piezoelectric, double-amplifier active-skin and structural acoustic sensing , 2000, The Journal of the Acoustical Society of America.

[26]  M. L. Munjal,et al.  Acoustics of Ducts and Mufflers , 2014 .

[27]  Marie-Annick Galland,et al.  Active enhancement of the absorbent properties of a porous material , 1994 .

[28]  B. Brouard,et al.  Bending vibrations of a rectangular poroelastic plate , 2001 .

[29]  Raymond Panneton,et al.  A mixed displacement-pressure formulation for poroelastic materials , 1998 .

[30]  James P. Carneal,et al.  Active structural acoustic control of noise transmission through double panel systems , 1992 .

[31]  N. Dauchez,et al.  Enhanced Biot's Finite Element Displacement Formulation for Porous Materials and Original Resolution Methods Based on Normal Modes , 2009 .

[32]  Marie-Annick Galland,et al.  A plane wave study for improving acoustical performance of double wall systems using an active-passive method , 2009 .

[33]  Raymond Panneton,et al.  BOUNDARY CONDITIONS FOR THE WEAK FORMULATION OF THE MIXED (U, P) POROELASTICITY PROBLEM , 1999 .

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

[35]  Olivier Dazel,et al.  An alternative Biot's displacement formulation for porous materials. , 2007, The Journal of the Acoustical Society of America.

[36]  D. Beskos,et al.  Flexural vibrations of poroelastic plates , 1994 .

[37]  Raymond Panneton,et al.  Comments on the limp frame equivalent fluid model for porous media. , 2007, The Journal of the Acoustical Society of America.

[38]  Raymond Panneton,et al.  An efficient finite element scheme for solving the three-dimensional poroelasticity problem in acoustics , 1997 .

[39]  Chris R. Fuller,et al.  Control of Aircraft Interior Broadband Noise with Foam-Pvdf Smart Skin , 1999 .

[40]  Qibo Mao,et al.  New results in active and passive control of sound transmission through double wall structures , 2008 .

[41]  L. Taber.  A Theory for Transverse Deflection of Poroelastic Plates , 1992 .

[42]  R. Burdisso,et al.  A new hybrid passive/active noise absorption system , 1997 .