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arXiv · 2310.11905

Topology optimization and boundary observation for clamped plates

Cornel Marius Murea·Dan Tiba
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Abstract

We indicate a new approach to the optimization of the clamped plates with holes. It is based on the use of Hamiltonian systems and the penalization of the performance index. The alternative technique employing the penalization of the state system, cannot be applied in this case due to the (two) Dirichlet boundary conditions. We also include numerical tests exhibiting both shape and topological modifications, both creating and closing holes.

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Cornel Marius Murea, Dan Tiba. 2023-10-18. Topology optimization and boundary observation for clamped plates. https://doi.org/10.3934/mcrf.2025054

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