A comparative study of methodologies for vibro-acoustic FE model updating of cavities using simulated data

The structural dynamic modeling errors, which at times are difficult to eliminate in a structural FE model, can affect the accuracy and reliability of the vibro-acoustic FE models for NVH design of the cavities. A large number of methods have been proposed for structural finite element model updating. However, most of the studies conducted are mainly focused on structural dynamic applications and no work is reported on vibro-acoustic systems. The objective of this paper is to compare through a simulated study two recently proposed methodologies for vibro-acoustic FE model updating of cavities with weak acoustic coupling to address structural dynamic modeling errors. These methodologies utilize a direct and an iterative method of model updating developed for purely structural systems. A simulated example of a 2D rectangular cavity with a flexible surface is presented. Cases of incomplete and noisy data are considered. The comparison is done on the basis of accuracy of prediction of vibro-acoustic natural frequencies and the responses both inside and outside the frequency range of interest. It is concluded that both the methodologies give an accurate prediction of the vibro-acoustic natural frequencies and the response inside the updating frequency range. However, beyond this range, the predictions based on the direct updated vibro-acoustic models are not accurate. It is noted that the success of updating using IESM is dependent on the correct knowledge of the modeling inaccuracies, uncertainties or approximations and also on the choice of the suitable updating parameters, which could be very challenging for complex cavities. The vibro-acoustic FE model updating using the direct method could be handy in such situations where the iterative methods are difficult to be effectively applied.

[1]  A. Berman,et al.  Improvement of a Large Analytical Model Using Test Data , 1983 .

[2]  Mauro J. Atalla,et al.  Model updating using neural networks , 1996 .

[3]  Menahern Baruch,et al.  Optimal Weighted Orttiogonalization of Measured Modes , 1978 .

[4]  Mehmet Imregun,et al.  Finite element model updating using frequency response function data: I. Theory and initial investigation , 1995 .

[5]  M. Friswell,et al.  Perturbation methods for the estimation of parameter variability in stochastic model updating , 2008 .

[6]  Andrea Stenti,et al.  A methodology for the choice of the initial conditions in the model updating of welded joints using the fuzzy finite element method , 2007 .

[7]  Philippe Bouillard,et al.  Updating 2D acoustic models with the constitutive relation error method , 2004 .

[8]  S. H. Sung Automotive Applications of Three-Dimensional Acoustic Finite Elements , 1981 .

[9]  Robert J. Bernhard,et al.  Review of numerical solutions for low-frequency structural-acoustic problems , 1994 .

[10]  Youn-sik Park,et al.  An automated parameter selection procedure for finite-element model updating and its applications , 2008 .

[11]  S. H. Sung,et al.  Component mode synthesis of a vehicle structural-acoustic system model , 1986 .

[12]  Christoph W. Schwingshackl,et al.  Model validation for structural dynamic analysis: An approach to the Sandia Structural Dynamics Challenge , 2008 .

[13]  Maurice Petyt,et al.  The acoustic modes of a rectangular cavity containing a rigid, incomplete partition , 1977 .

[14]  I. M. Fyfe,et al.  A finite element analysis of the impedance properties of irregular shaped cavities with absorptive boundaries , 1978 .

[15]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[16]  S. H. Sung,et al.  A Coupled Structural-Acoustic Finite Element Model for Vehicle Interior Noise Analysis , 1984 .

[17]  Philippe Bouillard,et al.  Updating 3D acoustic models with the constitutive relation error method: A two-stage approach for absorbing material characterization , 2008 .

[18]  Donald J. Nefske,et al.  Structural-acoustic finite element analysis of the automobile passenger compartment: A review of current practice , 1982 .

[19]  J. D. Collins,et al.  Statistical Identification of Structures , 1973 .

[20]  Donald Grant Collins,et al.  Laminar Viscous-Inviscid Interactions at Transonic Speeds , 1974 .

[21]  Vikas Arora,et al.  Damped model updating using complex updating parameters , 2009 .

[22]  Shirley J. Dyke,et al.  System equivalent reduction expansion process , 2008 .

[23]  Nicholas A J Lieven,et al.  DYNAMIC FINITE ELEMENT MODEL UPDATING USING SIMULATED ANNEALING AND GENETIC ALGORITHMS , 1997 .

[24]  Mehmet Imregun,et al.  Finite element model updating using frequency response function data. II. Case study on a medium-size finite element model , 1995 .

[25]  Miguel C. Junger,et al.  Sound, Structures, and Their Interaction , 1972 .

[26]  John E. Mottershead,et al.  Model Updating In Structural Dynamics: A Survey , 1993 .

[27]  Ichiro Hagiwara,et al.  An Application of Structural-Acoustic Analysis to Car Body Structure , 1985 .