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logo SMC logo SMC  DYNA logo SMC  DYNA  VALI Validation of acoustic models using the constitutive relation error

Arnaud Deraemaeker, Philippe Bouillard

Keywords validation, updating, constitutive relation error, acoustic absorption, model reduction
  • Prof. P. Ladevèze, ENS Cachan, France
Acoustic model validation Nowadays, the increasing importance of the acoustic noise in the industry makes essential to dispose of reliable simulation tools. Furthermore, many industries need to know the acoustic performances of the products that they achieve or use. Indeed, these components are often parts of larger setups (like cars, airplanes, concert halls, theatres ...) for which numerical acoustic simulations are run from the earliest design stage. In that framework, the running works propose a new updating technique for the acoustic simulations, which is based on the constitutive relation error (CRE) proposed by P. Ladevèze in structural dynamics.

The first application of the technique consists in improving the quality of acoustic models by reducing the constitutive relation error below a prescribed level.

The second one allows us to identify acoustic parameters of a setup such as the admittance coefficient.

The CRE updating method aims at minimizing a cost function with respect to physical parameters of the model. Both modelling error (i.e. the error related to the approximation of physical phenomena) and measurement error are taken into account. Particular attention is paid to the admittance boundary condition, which is probably the most important and the most badly known acoustic characteristic.

The ultimate goal of the approach should be to improve the numerical simulations of the acoustic pressure level of real-life complex setups like cars, aircrafts, satellite launcher, etc.

Selected publications

[1] V. Decouvreur, Ph. Bouillard, A. Deraemaeker, and P. Ladevèze. Updating 2D acoustic models with the constitutive relation error method. Journal of Sound and Vibration, 278(4-5):773–787, 2004

[2] V. Decouvreur, A. Deraemaeker, P. Ladevèze, and Ph. Bouillard. Building a suited reduced modal basis for updating 3d acoustic models with the constitutive law error method. Computer Methods in Applieds Mechanics and Engineering, 196(35-36):3400–3408, 2007.

[3] A. Progneaux, Ph. Bouillard, and A. Deraemaeker. A model updating technique based on the Constitutive Relation Error for in-situ identification of admittance coefficient of sound absorbing materials. Journal of Vibration and Acoustics, 137, 2015. 051013