Flexible feature mapping topology optimization using NURBS-based component projection

Journal Article (2025)
Author(s)

R.J.P. Giele (TU Delft - Computational Design and Mechanics)

Can Ayas (TU Delft - Computational Design and Mechanics)

M Langelaar (TU Delft - Computational Design and Mechanics)

Research Group
Computational Design and Mechanics
DOI related publication
https://doi.org/10.1007/s00158-025-04047-2
More Info
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Publication Year
2025
Language
English
Research Group
Computational Design and Mechanics
Issue number
6
Volume number
68
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Abstract

A novel feature mapping topology optimization method is presented, allowing for the creation of features with highly flexible shapes. The method easily integrates with conventional density-based formulations. Feature shapes are implicitly described by NURBS control points. The feature shape dictates the locations of two sets of projection points to represent the solid void boundaries. At these projection points, density values are projected onto a finite element mesh. The method optimizes feature shapes in a gradient-based manner, while allowing more specific control of the feature shapes than classical level set methods. Several feature fields can be combined to create a final output design. It is found that the eminent flexibility of the NURBS-based feature definition is a benefit but also requires additional regularization to guarantee stability of the optimization.