Topology optimization and boundary observation for clamped plates
Optimization and Control
2025-10-20 v1
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.
Cite
@article{arxiv.2310.11905,
title = {Topology optimization and boundary observation for clamped plates},
author = {Cornel Marius Murea and Dan Tiba},
journal= {arXiv preprint arXiv:2310.11905},
year = {2025}
}