Robust Hierarchical Multiscale Design Using PATC and PCE
Fenfen Xiong, Shuxing Yang*
Identifiers and Pagination:Year: 2011
First Page: 97
Last Page: 102
Publisher Id: TOMEJ-5-97
Article History:Received Date: 8/5/2010
Revision Received Date: 18/6/2010
Acceptance Date: 29/6/2010
Electronic publication date: 6/5/2011
Collection year: 2010
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: (https://creativecommons.org/licenses/by/4.0/legalcode). This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Multiscale design for dealing with 2-scale material and product system is implemented by employing the probabilistic analytical target cascading (PATC) and polynomial chaos expansion (PCE) approaches in this paper. PATC allows design autonomy at each scale subsystem by formulating the multiscale design problem as a hierarchical structure. PCE ensures uncertainties to be propagated within and across each scale accurately and efficiently. In addition, correlation between the random inputs is also considered during uncertainty propagation. Comparative study on a multiscale bracket design problem shows that the results obtained by our strategy are very close to the reference values. It is demonstrated that PATC and PCE are effective and applicable on multiscale design.