Higher‐order multi‐resolution topology optimization using the finite cell method |
| |
Authors: | Jeroen P Groen Matthijs Langelaar Ole Sigmund Martin Ruess |
| |
Affiliation: | 1. Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Kongens Lyngby, Denmark;2. Faculty of Mechanical, Maritime and Materials Engineering (3mE), Delft University of Technology, Delft, The Netherlands;3. School of Engineering, University of Glasgow, Glasgow, UK |
| |
Abstract: | This article presents a detailed study on the potential and limitations of performing higher‐order multi‐resolution topology optimization with the finite cell method. To circumvent stiffness overestimation in high‐contrast topologies, a length‐scale is applied on the solution using filter methods. The relations between stiffness overestimation, the analysis system, and the applied length‐scale are examined, while a high‐resolution topology is maintained. The computational cost associated with nested topology optimization is reduced significantly compared with the use of first‐order finite elements. This reduction is caused by exploiting the decoupling of density and analysis mesh, and by condensing the higher‐order modes out of the stiffness matrix. Copyright © 2016 John Wiley & Sons, Ltd. |
| |
Keywords: | topology optimization finite cell method higher‐order FEM |
|
|