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Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 1/2015

01.01.2015 | RESEARCH PAPER

Actuator topology design using the controllability Gramian

verfasst von: Otávio Augusto Alves da Silveira, Jun Sérgio Ono Fonseca, Ilmar Ferreira Santos

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 1/2015

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Abstract

This work develops a methodology for the optimal design of actuators for the vibration control of flexible structures. The objective is the maximization of a measure of the controllability Gramian. The test case is the embedding of piezoelectric inserts in elastic structures for vibration control in modal space. A topology optimization was formulated to distribute two material phases in the domain: a passive linear elastic material and an active linear piezoelectric material, with a volume constraint in the latter. The objective function is the trace of the controllability Gramian of a LQR control system. Analytical sensitivities for the finite element model are derived for the objective function and constraints. Results are shown for two dimensional vibration control of a short beam with varying number of electrodes (control inputs) and vibration modes.
Vorheriger Artikel Multiobjective topology optimization of energy absorbing materials
Nächster Artikel A flow topology optimization method for steady state flow using transient information of flow field solved by lattice Boltzmann method

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Metadaten
Titel
Actuator topology design using the controllability Gramian
verfasst von
Otávio Augusto Alves da Silveira
Jun Sérgio Ono Fonseca
Ilmar Ferreira Santos
Publikationsdatum
01.01.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 1/2015
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-014-1121-z

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