Topology optimization and boundary observation for clamped plates

Fuente: arXiv
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Main Authors: Murea, Cornel Marius, Tiba, Dan
Format: Preprint
Published: 2023
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author Murea, Cornel Marius
Tiba, Dan
author_facet Murea, Cornel Marius
Tiba, Dan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_11905
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Topology optimization and boundary observation for clamped plates
Murea, Cornel Marius
Tiba, Dan
Optimization and Control
49Q10, 90C90
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.
title Topology optimization and boundary observation for clamped plates
topic Optimization and Control
49Q10, 90C90
url https://arxiv.org/abs/2310.11905