Vibroacoustic analysis of double-wall sandwich panels with viscoelastic core

In this work, an original finite element modeling to investigate the effects of a viscoelastic layer on the sound transmission through double-wall sandwich panels is presented. This formulation is obtained from a coupled fluid-structure variational principle taking into account the frequency dependence of the viscoelastic material. The resolution approach is based on a reduced order model generated by a modal projection technique. The sound insulation of the panels is evaluated by computing its sound transmission factor using Rayleigh integral method. An efficient and inexpensive finite element for a sandwich plate with viscoelastic core is developed. Various results are presented in order to validate and illustrate the efficiency of the proposed finite element formulations.

[1]  Andris Chate,et al.  Finite element analysis of damping the vibrations of laminated composites , 1993 .

[2]  J. D. Quirt,et al.  Sound transmission through windows II. Double and triple glazing , 1983 .

[3]  António Tadeu,et al.  Sound transmission through single, double and triple glazing. Experimental evaluation , 2001 .

[4]  Zijie Fan,et al.  Transient vibration and sound radiation of a rectangular plate with viscoelastic boundary supports , 2001 .

[5]  Conor D. Johnson,et al.  Finite Element Prediction of Damping in Structures with Constrained Viscoelastic Layers , 1981 .

[6]  G. A. Work,et al.  Sound Transmission through Multiple Structures Containing Flexible Blankets , 1949 .

[7]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[8]  Kaïss Bouayed,et al.  Finite element analysis of the dynamic behavior of a laminated windscreen with frequency dependent viscoelastic core. , 2012, The Journal of the Acoustical Society of America.

[9]  R. Ohayon,et al.  Fluid-Structure Interaction: Applied Numerical Methods , 1995 .

[10]  Robert J. Melosh,et al.  Structural Analysis of Solids , 1963 .

[11]  Yao Koutsawa,et al.  Loss Behavior of Viscoelastic Sandwich Structures: a Statistical-Continuum Multi-Scale Approach , 2012 .

[12]  N. Atalla,et al.  A numerical model for the low frequency diffuse field sound transmission loss of double-wall sound barriers with elastic porous linings , 2000 .

[13]  E. Carrera,et al.  A finite element model using a unified formulation for the analysis of viscoelastic sandwich laminates , 2013 .

[14]  R. Ohayon.  Reduced models for fluid–structure interaction problems , 2004 .

[15]  N. T. Asnani,et al.  Vibration and damping analysis of multilayered rectangular plates with constrained viscoelastic layers , 1984 .

[16]  C. M. Mota Soares,et al.  Finite Element Model for Hybrid Active-Passive Damping Analysis of Anisotropic Laminated Sandwich Structures , 2010 .

[17]  T. Lu,et al.  Vibroacoustic behavior of clamp mounted double-panel partition with enclosure air cavity. , 2008, The Journal of the Acoustical Society of America.

[18]  Christian Soize,et al.  Advanced Computational Vibroacoustics: Reduced-Order Models and Uncertainty Quantification , 2014 .

[19]  J. Z. Zhu,et al.  The finite element method , 1977 .

[20]  R. Moreira,et al.  Viscoelastic Damping Technologies-Part I: Modeling and Finite Element Implementation ⋆ , 2010 .

[21]  El Mostafa Daya,et al.  Review: Complex modes based numerical analysis of viscoelastic sandwich plates vibrations , 2011 .

[22]  F. Fahy.  Sound and structural vibration , 1985 .

[23]  Robert J.M. Craik.  Non-resonant sound transmission through double walls using statistical energy analysis , 2003 .

[24]  W. Lauriks,et al.  Sound transmission through finite lightweight multilayered structures with thin air layers. , 2010, The Journal of the Acoustical Society of America.

[25]  Roger Ohayon,et al.  Piezoelectric structural acoustic problems: Symmetric variational formulations and finite element results , 2008 .

[26]  S. Havriliak,et al.  A complex plane analysis of α‐dispersions in some polymer systems , 2007 .

[27]  A. London.  Transmission of Reverberant Sound through Double Walls , 1949 .

[28]  J. Quirt.  Sound transmission through windows I. Single and double glazing , 1982 .

[29]  M. Haddar,et al.  Viscothermal fluid effects on vibro-acoustic behaviour of double elastic panels , 2008 .

[30]  Thomas Geertruida Henricus Basten,et al.  Noise reduction by viscothermal acousto-elastic interaction in double wall panels , 2001 .

[31]  Roger Ohayon,et al.  Vibration of axisymmetric composite piezoelectric shells coupled with internal fluid , 2007 .

[32]  Roger Ohayon,et al.  Finite element formulation of smart piezoelectric composite plates coupled with acoustic fluid , 2012 .

[33]  Mohamed Haddar,et al.  Vibro-acoustic behaviour of laminated double glazing enclosing a viscothermal fluid cavity , 2009 .