Abstract
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.
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The current work is a part of the research training group “Simulation-Based Design Optimization of Dynamic Systems Under Uncertainties” (SENSUS) funded by the state of Hamburg within the Landesforschungsförderung under project number LFF-GK11.
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Schmidt, T., Karnath, J., Seifried, R. (2024). Comparison of Continuous and Discrete Adjoint Methods for Topology Optimization in Structural Dynamics. In: Nachbagauer, K., Held, A. (eds) Optimal Design and Control of Multibody Systems. IUTAM 2022. IUTAM Bookseries, vol 42. Springer, Cham. https://doi.org/10.1007/978-3-031-50000-8_5
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DOI: https://doi.org/10.1007/978-3-031-50000-8_5
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