Topology optimization of frequency dependent viscoelastic structures via a level-set method

G Delgado (1) , M Hamdaoui (2)

1 IRT SystemX
2 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux

Viscoelastic materials follow a liquid-like elastic behavior whose characteristics depend on the ex-citation frequency. Nowadays, these type of materials represent a high interest for vibration damping treatments in the automotive and aeronautic industries, for instance. This work is devoted to the application of the level-set method for topology optimization of viscoelastic structures. We look for the best distribution of viscoelastic material within a reference domain for the design of purely vis-coelastic 3D damping structures and 2D viscoelastic damping treatments. In both cases one desires to maximize the structure capacity to dissipate energy measured here by the modal loss factor of the first vibration mode.

Mots clés: Level-set method; Topology optimization; Viscoelastic damping; Non-linear eigenvalue prob- lem; Non-linear eigenvalue problem

Domaines: Optimisation et contrôle [math.OC]

G Delgado, M Hamdaoui. Topology optimization of frequency dependent viscoelastic structures via a level-set method. 2018. ⟨hal-01651913v2⟩