A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities

A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities

Year:    2019

Author:    Ming Li, Jingzhi Li, Ralph Martin, Kai Zhang

Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2018-0204

Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 4 : pp. 870–889

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

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

Author Details

Ming Li

Jingzhi Li

Ralph Martin

Kai Zhang