期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 82, 期 6, 页码 671-698出版社
WILEY
DOI: 10.1002/nme.2763
关键词
topology optimization; polygonal elements; Voronoi tessellations; unstructured meshing
资金
- Office of Science and National Nuclear Security Administration [DE-FG02-97ER25308]
- Tecgraf (Group of Technology in Computer Graphics), PUC-Rio, Rio de Janeiro, Brazil
In topology optimization literature, the parameterization of design is commonly carried out on uniform grids consisting of Lagrangian-type finite elements (e.g. linear quads). These formulations, however, suffer from numerical anomalies such as checkerboard patterns and one-node connections, which has prompted extensive research on these topics. A problem less often noted is that the constrained geometry of these discretizations can cause bias in the orientation of members, leading to mesh-dependent sub-optimal designs. Thus, to address the geometric features of the spatial discretization, we examine the use of unstructured meshes in reducing the influence of mesh geometry on topology optimization solutions. More specifically, we consider polygonal meshes constructed from Voronoi tessellations, which in addition to possessing higher degree of geometric isotropy, allow for greater flexibility in discretizing complex domains without suffering from numerical instabilities. Copyright (C) 2009 John Wiley & Sons. Ltd.
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