Naslov
Optimal design for vibrating plates

Autori
Antonić, Nenad ; Balenović, Neven ; Vrdoljak, Marko

Izvornik
Zeitschrift fur Angewandte Mathematik und Mechanik (0044-2267) 80 (2000), 3; 783-784

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
optimal design; homogenisation

Sažetak
We consider the vibrating plate equation $$ \rho u''+\dv\dv(\tM\nabla\nabla u)=f , $$ with suitable initial and boundary data. For a flat plate of prescribed geometry, we wish to determine an optimal distribution of available materials, minimising a given cost functional. As the optimal solution is not achieved in the class of simple mixtures, a relaxation based on $H$--convergence of Murat and Tartar is introduced, leading to homogenised materials. Several examples of cost functionals are considered.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA