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Estimating the effects of removing negative features on engineering analysis

Li, Ming, Gao, Shuming and Martin, Ralph Robert 2011. Estimating the effects of removing negative features on engineering analysis. Computer-Aided Design 43 (11) , pp. 1402-1412. 10.1016/j.cad.2011.08.013

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Abstract

This paper provides a general framework for the quantitative estimation of the effects of removing negative features on engineering analysis, or modification sensitivity for short. There are two main applications: (i) when defeaturing models so that finite element analysis may be carried out more quickly and with lower memory requirements, and (ii) when performing iterative design based on finite element analysis. Our approach can handle large as well as small features, and features with Neumann/natural boundary conditions prescribed on them; previous methods have difficulties in handling such cases. Estimation of the modification sensitivity is achieved by reformulating it as a modeling error caused by use of different mathematical models to describe the same engineering analysis problem. Results are obtained using the dual weighted residual (DWR) method in combination with a heuristic assumption of small variation of the dual solution after defeaturing. The final derived sensitivity estimator is expressed in terms of the difference of local boundary integrations over the feature boundary, which can be explicitly evaluated using solutions defined on the defeatured model. The algorithm’s performance is demonstrated using a Poisson equation. Comparisons to results obtained by previous approaches indicate that it is both accurate and computationally efficient.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA76 Computer software
Uncontrolled Keywords: Modification sensitivity; Design sensitivity; Engineering analysis error; Large design changes; DWR
Additional Information: PDF uploaded in accordance with publisher's policy (http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy [accessed 14/04/2015] NOTICE: this is the author’s version of a work that was accepted for publication in Computer-Aided Design. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer-Aided Design, [VOL 43, ISSUE 11, 2011] DOI 10.1016/j.cad.2011.08.013
Publisher: Elsevier
ISSN: 0010-4485
Last Modified: 14 Jul 2017 23:06
URI: http://orca.cf.ac.uk/id/eprint/11416

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