Integrated topology optimization and optimal control for vibration suppression in structural design

This paper presents a topology design methodology for structures with active vibration control. The methodology takes into account the structural effect of the control forces and includes the modal control design. Location points for the actuation forces are chosen a priori. Structural topology opti...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2013-03, Vol.47 (3), p.389-397
Main Authors: Molter, Alexandre, da Silveira, Otávio A. A., Bottega, Valdecir, Fonseca, Jun S. O.
Format: Article
Language:English
Subjects:
Active control
Actuation
Computational Mathematics and Numerical Analysis
Computer simulation
Engineering
Engineering Design
Finite element method
Free vibration
Optimal control
Research Paper
Structural design
Theoretical and Applied Mechanics
Topology optimization
Vibration control
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Summary:This paper presents a topology design methodology for structures with active vibration control. The methodology takes into account the structural effect of the control forces and includes the modal control design. Location points for the actuation forces are chosen a priori. Structural topology optimization is used for distributing material on a fixed domain, using continuum finite element discretization for the static and free vibration analyses. Optimal control for transient response in modal space is used to derive the control force. The cost function for the optimization combines the strain energy and the control energy. Results of the numerical simulations validates the proposed methodology.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-012-0829-x