Statistical Analysis of Forming Processes as a First Step in a Process-Chain Analysis: Novel PRO-CHAIN Components

Article Preview

Abstract:

This paper presents a new approach for statistical analysis of process chains, including a parameter sensitivity analysis of each process step as a basis for dimension reduction, and an efficient interpolatory metamodel in order to predict new designs. A Monte Carlo alike evaluation of this metamodel results in the requested statistical information, e.g. quantiles of the output functionals. Numerical results are presented for the forming process of a ZStE340 metal blank of a B-pillar. Additionally, a brief overview of results of the process chain forming to crash is given.

You might also be interested in these eBooks

Info:

Periodical:

Key Engineering Materials (Volumes 504-506)

Pages:

631-636

Citation:

Online since:

February 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] D.L. Donoho, High-dimensional data analysis: The curses and blessings of dimensionality, AMS Conference "Math Challenges of the 21st Century", 2000, available from http://www-stat.stanford.edu/~donoho/.

Google Scholar

[2] G. Fishman, Monte Carlo: concepts, algorithms and applications, Springer-Verlag, New York, USA, 1996.

Google Scholar

[3] A. Saltelli, M. Ratto, T. Andres, F. Campolongo, J. Cariboni, D. Gatelli, M. Saisana and S. Tarantola, Global sensitivity analysis - the primer, John Wiley & Sons, 2008.

DOI: 10.1002/9780470725184

Google Scholar

[4] D. Steffes-lai, E. Rosseel, T. Clees, Interpolation methods to compute statistics of a stochastic partial differential equation, in preparation.

Google Scholar

[5] I. Nikitin, L. Nikitina, T. Clees, Stochastic Analysis and nonlinear metamodeling of crash test simulation and their application in automotive design, in F. Columbus, editor, Computational Engineering: Design, Development and Applications, Nova Science, New York, 2011.

Google Scholar

[6] M. Berry, Large scale sparse singular value computations, International Journal of Supercomputer Applications, 6(1992), 13-49.

Google Scholar

[7] D. Skillicorn, Understanding Complex Datasets: Data mining with matrix decompositions, Chapman & Hall / CRC, 2007.

DOI: 10.1201/9781584888338.ch2

Google Scholar

[8] D. Steffes-lai, T. Clees, Statistical Analysis of Process Chains: Novel PRO-CHAIN Components, Procs. 8th European LS-DYNA Users Conference, Strasbourg, May 2011.

Google Scholar

[9] www.scai.fraunhofer.de/robust-design.html

Google Scholar

[10] T. Clees, D. Steffes-lai, M. Helbig, D.-Z. Sun, Statistical analysis and robust optimization of forming processes and forming-to-crash process chains, 13th ESAFORM Conference on Material Forming, Brescia, Italy, April 7-9, 2010. Int. J. Material Forming 3 (supplement 1), pp.45-48, 2010.

DOI: 10.1007/s12289-010-0703-6

Google Scholar