Abstract
Gradient-based topology optimization typically involves thousands or millions of design variables. This makes efficient sensitivity analysis essential and for this the adjoint variable method (AVM) is indispensable. For transient problems it has been observed that the traditional AVM, based on a differentiate-then-discretize approach, may lead to inconsistent sensitivities. Herein this effect is explicitly demonstrated for a single dof system and the source of inconsistency is identified. Additionally, we outline an alternative discretize-then-differentiate AVM that inherently produces consistent sensitivities. © 2013 Springer-Verlag Berlin Heidelberg.
Original language | English |
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Journal | Structural and Multidisciplinary Optimization |
Volume | 49 |
Issue number | 5 |
Pages (from-to) | 831-837 |
Number of pages | 7 |
ISSN | 1615-147X |
DOIs | |
Publication status | Published - 2014 |
Keywords
- Adjoint sensitivity analysis
- Numerical time integration
- Topology optimization