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research-article

Experimental Validation of Surrogate Models for Predicting the Draping of Physical Interpolating Surfaces

[+] Author and Article Information
Esben Toke Christensen

Aalborg University Dept. of Mechanical and Manufacturing Engineering Fibigerstræde 16, 9220 Aalborg East, Denmark
esben@m-tech.aau.dk

Erik Lund

Aalborg University Dept. of Mechanical and Manufacturing Engineering Fibigerstræde 16, 9220 Aalborg East, Denmark
el@m-tech.aau.dk

Esben Lindgaard

Aalborg University Dept. of Mechanical and Manufacturing Engineering Fibigerstræde 16, 9220 Aalborg East, Denmark
elo@m-tech.aau.dk

1Corresponding author.

ASME doi:10.1115/1.4038073 History: Received November 05, 2016; Revised September 05, 2017

Abstract

This paper concerns the experimental validation of two surrogate models through a benchmark study involving two different variable shape mould prototype systems. The surrogate models in question are difference methods based on kriging and proper orthogonal decomposition, which were developed in previous work. Measurement data used in the benchmark study is obtained using digital image correlation. For determining the variable shape mould configurations used for the training- and test sets used in the study, sampling is carried out using a novel constrained nested orthogonal-maximin Latin hypercube approach. This sampling method allows for generating a space filling and high quality sample plan that respects mechanical constraints of the variable shape mould systems. Through the benchmark study it is found that mechanical freeplay in the modeled system is severely detrimental to the performance of the studied surrogate models. By comparing surrogate model performance for the two variable shape mould systems, and through a numerical study involving simple finite element models, the underlying cause of this effect is explained. It is concluded, that for a variable shape mould prototype system with a small degree of mechanical freeplay, the benchmarked surrogate models perform very well.

Copyright (c) 2017 by ASME
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