Convergence acceleration using the residual shape technique when solving structure-acoustic coupling with the Patch Transfer Functions method

The forced response of the structure-water-filled cavity system is investigated from the Patch Transfer Functions method. In such a case, a poor convergence of the PTF method is observed when using standard mode expansion to build the cavity-PTF. To improve its convergence and maintain the advantages of substructuring, residual shapes are introduced in the cavity-PTF computation, which is the new material of this article. This technique is successfully applied on numerical examples, highlighting the interest of such an approach, especially in heavy fluid.

[1]  Paul Sas,et al.  Evaluation of the FRF based substructuring and modal synthesis technique applied to vehicle FE data , 2000 .

[2]  Noureddine Atalla,et al.  Validation, performance, convergence and application of free interface component mode synthesis , 2001 .

[3]  R. Macneal A hybrid method of component mode synthesis , 1971 .

[4]  K. Bathe,et al.  A mixed displacement-based finite element formulation for acoustic fluid-structure interaction , 1995 .

[5]  E. Dowell,et al.  Acoustoelasticity - General theory, acoustic natural modes and forced response to sinusoidal excitation, including comparisons with experiment , 1977 .

[6]  G. C. Everstine A symmetric potential formulation for fluid-structure interaction , 1981 .

[7]  R. W. Guy,et al.  The transmission of sound through a cavity-backed finite plate , 1973 .

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

[9]  K. Bathe,et al.  DISPLACEMENT/PRESSURE BASED MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUID–STRUCTURE INTERACTION PROBLEMS , 1997 .

[10]  L. Gagliardini,et al.  The use of a functional basis to calculate acoustic transmission between rooms , 1991 .

[11]  S. Rubin Improved Component-Mode Representation for Structural Dynamic Analysis , 1975 .

[12]  Michael J. Brennan,et al.  A COMPACT MATRIX FORMULATION USING THE IMPEDANCE AND MOBILITY APPROACH FOR THE ANALYSIS OF STRUCTURAL-ACOUSTIC SYSTEMS , 1999 .

[13]  Sum,et al.  On acoustic and structural modal cross-couplings in plate-cavity systems , 2000, The Journal of the Acoustical Society of America.

[14]  Morvan Ouisse,et al.  Patch Transfer Functions as a Tool to Couple Linear Acoustic Problems , 2005 .

[15]  Jean-Louis Guyader,et al.  Prediction of transmission loss of double panels with a patch-mobility method , 2007 .

[16]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[17]  Jean-Louis Guyader,et al.  Extension of the Patch Transfer Functions method (PTF method) to high frequency domain (sub-cavities decomposition) , 2007 .

[18]  W. Hurty Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[19]  D. Clouteau,et al.  Model reduction for efficient FEM / BEM coupling , 2000 .

[20]  Tournour,et al.  Pseudostatic corrections for the forced vibroacoustic response of a structure-cavity system , 2000, The Journal of the Acoustical Society of America.

[21]  Yves Ousset,et al.  A displacement method for the analysis of vibrations of coupled fluid-structure systems , 1978 .

[22]  K. Bathe,et al.  Analysis of fluid-structure interactions. a direct symmetric coupled formulation based on the fluid velocity potential , 1985 .

[23]  Nicolas Roy,et al.  Efficient computation of the radiated sound power of vibrating structures using a modal approach , 2008 .

[24]  J. A. Jendrzejczyk,et al.  A finite element computation of the flow-induced oscillations in a cantilevered tube , 1986 .