Topology optimization for transient thermo-mechanical problems

Abstract eng:
Thermo-mechanical transient problems impose major design challenges for a wide range of applications. This paper focuses on topology optimization for transient thermo-mechanical problems with extreme precision requirements. The transient nature causes standard adjoint sensitivity formulations to suffer from backward time integrations, leading to computational inefficiency. To overcome this obstacle, reduced-order models are used to evaluate the transient thermo-mechanical responses and the associated adjoint sensitivities. Aspects of investigation include the construction of reduced-order models, application of mode acceleration, accuracy of the transient response and associated adjoint sensitivities and their use in topology optimization. It is shown, that good topological designs are obtained, whereas costly adjoint sensitivities are replaced by relatively inexpensive counterparts involving simple backward convolutions.

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