Application of Probabilistic Distribution Matching PATC on Robust Multi-Scale Design

Article Preview

Abstract:

Multiscale design dealing with a 2-scale material and product system is implemented by employing the probabilistic distribution matching probabilistic analytical target cascading method (PATC-PCE) in this paper. PATC-PCE allows design autonomy at each scale subsystem by formulating the multiscale design system as a multilevel design structure. The probabilistic distribution matching strategy in PATC-PCE can quantify the stochastic interrelated responses accurately enough. Comparative study on a multiscale bracket design problem shows that the results obtained by our method are very close to the benchmark values. PATC-PCE is demonstrated to be highly effective and applicable on multi-scale design.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 479-481)

Pages:

1665-1669

Citation:

Online since:

February 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Panchal, J. H., Choi, H.-J., Shepherd, J., Allen, J. K., McDowell, D. L., and Mistree, F., 2005, "A strategy for simulation-based design of multiscale, multi-functional products and associated design processes," Proceedings of ASME 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, September 24-28, Long Beach, CA.

DOI: 10.1115/detc2005-85316

Google Scholar

[2] Allen, J. K., Seepersad, C., Choi, H.-J., and Mistree, F., 2006, "Robust design for multiscale and multidisciplinary applications," ASME Journal of Mechanical Design, 128(4):832-843.

DOI: 10.1115/1.2202880

Google Scholar

[3] Liu, H., Chen, W., Kokkolaras, M., Papalambros, P.Y. and Kim, H.M., 2006, "Probabilistic analytical target cascading: a moment matching formulation for multilevel optimization under uncertainty," Journal of Mechanical Design, 128(4):991-1000.

DOI: 10.1115/1.2205870

Google Scholar

[4] Xiong, F., Liu Y., and Yang, S., 2011, "A new probabilistic distribution matching PATC formulation using polynomial chaos expansion," Journal of Engineering Optimization, in press.

DOI: 10.1080/0305215x.2011.617815

Google Scholar

[5] Drugan, W.J. and Willis, J.R., 1996, "A micromechanics-based constitutive equation and estimates of representative volume element size for elastic composites," Journal of the Mechanics and Physics, 44(4):497-524.

DOI: 10.1016/0022-5096(96)00007-5

Google Scholar

[6] Yin, X., Chen, W., To, A., McVeigh, C. and Liu, W.K., 2008, "Statistical volume element method for predicting microstructure-constitutive property relations," Journal of Computer Methods in Applied Mechanics and Engineering, 197(43-44):3516-3529.

DOI: 10.1016/j.cma.2008.01.008

Google Scholar