Estimating Effects of Removing Negative Features on Engineering Analysis
Authors: Li, Ming and Gao, Shuming and Martin, Ralph Robert
DOI: 10.1016/j.cad.2011.08.013
Abstract:
This paper provides a general framework for the quantitative estimation of the e ects of removing negative features on engineering analysis, or modi cation sensitivity for short. There are two main applications: (i) when defeaturing models so that nite element analysis may be carried out more quickly and with lower memory requirements, and (ii) when performing iterative design based on nite 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 modi cation sensitivity is achieved by reformulating it as a modeling error caused by use of di erent mathe-matical 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 dual solution after defeaturing. The nal derived sen-sitivity estimator is expressed in terms of the di erence of local boundary integrations over the feature boundary, which can be explicitly evaluated using solutions de ned on the defeatured model.
The algorithm's performance is demonstrated using a Poisson equation. Comparisons to results obtained by previous approaches indicate it is both accurate and computationally efficient.
