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

Authors:
Alexandre Molter;Otávio A. Silveira;Valdecir Bottega;Jun S. Fonseca
Affiliations:
Department of Mathematics and Statistics, Federal University of Pelotas, Pelotas, Brazil 96010-900;Department of Mechanical Engineering, State University of Santa Catarina, Joinville, Brazil 89223-100;Department of Mathematics and Statistics, Federal University of Pelotas, Pelotas, Brazil 96010-900;Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Porto Alegre, Brazil 90050-170
Venue:
Structural and Multidisciplinary Optimization
Year:
2013

Citing 4
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Abstract

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.