A comparison study on actuator topology optimization designs using the controllability Gramian
Juliano F. Gonçalves1; Daniel M. De Leon1; Jun S. O. Fonseca1
1 Federal University of Rio Grande do Sul (UFRGS)
Baixar PDF doi:10.20906/CPS/CILAMCE2015-0240
Resumo
This work compares methodologies for the optimal design of actuators for the vibration control of flexible structures. The goal is to find the location of actuators which maximizes the system controllability. A topology optimization was formulated to distribute two material phases in the domain: a passive linear elastic material and an active linear piezoelectric material. Different objective functions were implemented: smallest eigenvalue and trace of the controllability Gramian for an LQR control system. Analytical sensitivities for the finite element model are derived for the objective functions and constraints. Results are presented for vibration control of a two-dimensional short beam.
Palavras-chave: Topology optimization; Piezoelectric actuators; Vibration control