Volume 11, Issue 4
A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities

Adv. Appl. Math. Mech., 11 (2019), pp. 870-889.

Published online: 2019-06

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• Abstract

The paper proposes a general numerical framework to simplify a CAD model into a volume mesh model under reliable control of certain prescribed physical quantity that the designer is interested in. Different from previous work, the proposed approach does not assume that the candidate features have been detected and can directly generate the simplified volume mesh model. In addition, it can efficiently estimate the quantitative impact of each individual feature via solving a linear equation of small dimension less than 10. This is achieved by reformulating the problem as estimating the solution differences caused by different stiffness matrices, using the $combined$ $approximation$ approach. Performance of this approach is demonstrated via numerical 2D examples.

• Keywords

Defeaturing error, simplification framework, physically-reliable, CAD/ CAE integration, combined approximation.

65M10, 78A48

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@Article{AAMM-11-870, author = {}, title = {A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {4}, pages = {870--889}, abstract = {

The paper proposes a general numerical framework to simplify a CAD model into a volume mesh model under reliable control of certain prescribed physical quantity that the designer is interested in. Different from previous work, the proposed approach does not assume that the candidate features have been detected and can directly generate the simplified volume mesh model. In addition, it can efficiently estimate the quantitative impact of each individual feature via solving a linear equation of small dimension less than 10. This is achieved by reformulating the problem as estimating the solution differences caused by different stiffness matrices, using the $combined$ $approximation$ approach. Performance of this approach is demonstrated via numerical 2D examples.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2018-0204}, url = {http://global-sci.org/intro/article_detail/aamm/13192.html} }
TY - JOUR T1 - A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 870 EP - 889 PY - 2019 DA - 2019/06 SN - 11 DO - http://dor.org/10.4208/aamm.OA-2018-0204 UR - https://global-sci.org/intro/article_detail/aamm/13192.html KW - Defeaturing error, simplification framework, physically-reliable, CAD/ CAE integration, combined approximation. AB -

The paper proposes a general numerical framework to simplify a CAD model into a volume mesh model under reliable control of certain prescribed physical quantity that the designer is interested in. Different from previous work, the proposed approach does not assume that the candidate features have been detected and can directly generate the simplified volume mesh model. In addition, it can efficiently estimate the quantitative impact of each individual feature via solving a linear equation of small dimension less than 10. This is achieved by reformulating the problem as estimating the solution differences caused by different stiffness matrices, using the $combined$ $approximation$ approach. Performance of this approach is demonstrated via numerical 2D examples.

Ming Li, Jingzhi Li, Ralph Martin & Kai Zhang. (2019). A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities. Advances in Applied Mathematics and Mechanics. 11 (4). 870-889. doi:10.4208/aamm.OA-2018-0204
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