Uncertainty Analysis Based on Kriging Meta-Model for Acoustic-Structural Problems

• Published in: Applied sciences Vol. 12; no. 3; p. 1503
• Main Authors: Baklouti, Ahmad, Dammak, Khalil, El Hami, Abdelkhalak
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01-02-2022
• Subjects: Acoustics; Approximation; Boundary conditions; Computer applications; Computer simulation; Design optimization; Error analysis; Finite element analysis; Finite element method; Kriging; Mathematical models; Monte Carlo simulations; Noise; Parameter uncertainty; Random variables; Simulation; surrogate model; Uncertainty analysis; vibro-acoustic models
• ISSN: 2076-3417; 2076-3417
• DOI: 10.3390/app12031503

This paper consists of evaluating the performance of a vibro-acoustic model in the presence of uncertainties in the geometric and material parameters of the model using Monte Carlo simulations (MCS). The purpose of using a meta-model is to reduce the computational cost of finite element simulations. Uncertainty analysis requires a large sample of MCS to predict the effect of uncertain parameters on the system response. So, if this study is done through the finite element method (FEM), then the computational cost will be very important. Furthermore, for that, we use meta-models to be able to conduct an efficient uncertainty analysis more quickly. In the present contribution, the approximated meta-model is verified and validated using error measures and cross-validation (CV). Then, the uncertainty analysis is performed by Monte Carlo simulations using the computed Kriging meta-model. The developed methodology has been applied in two vibro-acoustic models. In these two models, the covariance of uncertainty of geometric and physical (elasticity and density) parameters are equal to 2% and 5% respectively. The obtained results prove that the suggested methodology of uncertainty propagation based on the Kriging meta-model can be considered as a very efficient and sufficiently accurate approach for the quantification of uncertainties in acoustic-structural systems.