@ARTICLE{10.21494/ISTE.OP.2017.0188, 

TITLE={Metamodeling for robust design of mechatronic systems}, 
  
AUTHOR={Hamid Hamdani, Bouchaïb Radi, Abdelkhalak El Hami, }, 
	
JOURNAL={Uncertainties and Reliability of Multiphysical Systems}, 
	
VOLUME={1}, 

NUMBER={Numéro 2}, 
	
YEAR={2017}, 

URL={https://openscience.fr/Metamodeling-for-robust-design-of-mechatronic-systems}, 
	
DOI={10.21494/ISTE.OP.2017.0188}, 
	
ISSN={2514-569X}, 
	
ABSTRACT={In the face of current competitive and economic demands in the industrial sector, numerical simulation tools,
such as finite element methods, are increasingly applied to the design problems of mechatronic systems. Many problems
require a large number of simulations to evaluate an objective function. However, for many cases, a single simulation can
take several minutes, hours, or even days to converge. As a result, simulation-intensive tasks such as sensitivity analysis,
reliability analysis, optimization, and reliability based design optimization become impractical or almost impossible, as
they require hundreds, thousands or even millions of simulations. The construction of the approximation models becomes
the most robust method to remedy this problem. These models, known as metamodels, make it possible to approximate
as much as possible the input-output relation of the finite element simulation model, all with the aim of reducing the
evaluation cost. Finally, tasks with large number of simulations can be implemented using the meta model built. This
article present the most popular metamodeling techniques, their validation methods, as well as examples of comparative
studies for an optimal choice of the metamodel suitable for the problem.}}