High Order Orthogonal Designs of Experiments for Metamodeling, Identification and Optimization of Composite Material Properties

2015
Jānis Auziņš

In this paper the method of penalized high order Legendre polynomials and specific designs of experiments for model building on the basis of numerical or physical experiments is proposed. The generalized thin-plate energy functional is used for penalization of the least square functional. The optimal choice of smoothing parameter (penalization coefficient) is implemented using the cross-validation method. Special axial-symmetrical and 90 degree rotational symmetrical D-optimal experimental designs are obtained using the direct constrained optimization method. The method was tested for known optimization test problems with 2–5 variables and showed prediction accuracy comparable with kriging.

Keywords
Designs of experiments, Legendre polynomials, orthogonal designs, penalized least squares, thin-plate potential energy

Auziņš, J. High Order Orthogonal Designs of Experiments for Metamodeling, Identification and Optimization of Composite Material Properties. Mechanics. Vol.36, 2015, pp.117-123. ISSN 1407-8015. e-ISSN 2255-8721.

Publication language
English (en)