Comparison of continuous and discrete adjoint methods for topology optimization in structural dynamics

First published in
IUTAM bookseries  
Number in series
42
Start Page
52
End Page
61
Citation
IUTAM Symposium on Optimal Design and Control of Multibody Systems 2022: 52-61
Contribution to Conference
IUTAM Symposium on Optimal Design and Control of Multibody Systems 2022  
Publisher DOI
10.1007/978-3-031-50000-8_5
Scopus ID
2-s2.0-85182496288
Publisher
Springer Nature Switzerland
ISBN
978-3-031-50000-8
978-3-031-49999-9
978-3-031-50001-5
978-3-031-50002-2
Peer Reviewed
true
Semi-analytic adjoint methods can be seen as breakthrough for deterministic topology optimization in structural dynamics since such methods have reduced the computational costs. Nevertheless, the costs are still very high, so that further improvements are crucial. In this work, the concept of the continuous and the discrete adjoint method are applied in structural dynamics. Additionally, a modified discrete method, which is independent of the time discretization of the primal problem, is proposed. This approach results in further numerical savings, while the quality of the gradient does not suffer.
DDC Class
620: Engineering