Abstract
The experimental study of material or structural behaviours often consists of a multiparametric analysis. To describe the physical phenomenon in a limited region, it is valuable to identify the coefficients of a multilinear model with a regression. But the precision on these coefficients depends on the arrangement of the test matrix which represents the parameter values taken for each test. The optimal matrix form is reached by an orthogonal test matrix, but these orthogonal designs are restricting and sometimes impossible to realise because of physical constraints. Nevertheless, according to a criterion, optimal designs can be defined by respecting certain constraints: D-optimal designs are presented.
The influence of identified noise parameters can be studied and minimised by a specific arrangement of test matrix: a product design. In this way, the time can be taking into account.
Finally, a precise parametrical study of numerical or finite element models can be performed with experimental designs where the code runs are considered as tests.
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© 1994 Springer Science+Business Media Dordrecht
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Regnier, G., Soulier, B. (1994). Experimental Designs for an Experimental Modelling of Material or Structural Tests. In: Breysse, D. (eds) Probabilities and Materials. NATO ASI Series, vol 269. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1142-3_19
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DOI: https://doi.org/10.1007/978-94-011-1142-3_19
Publisher Name: Springer, Dordrecht
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