Active control of sloshing in containers with elastic baffle plates
Article first published online: 5 JUN 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Engineering
Volume 91, Issue 6, pages 604–621, 10 August 2012
How to Cite
Hernández, E. and Santamarina, D. (2012), Active control of sloshing in containers with elastic baffle plates. Int. J. Numer. Meth. Engng., 91: 604–621. doi: 10.1002/nme.4283
- Issue published online: 18 JUL 2012
- Article first published online: 5 JUN 2012
- Manuscript Accepted: 22 DEC 2011
- Manuscript Revised: 15 DEC 2011
- Manuscript Received: 1 NOV 2010
- fluid–structure interaction;
- active vibration control (AVC);
- sloshing modes;
- baffle plates
We consider the finite element approximations of an optimal control problem consisting in the suppression of slosh arising in fluid–structure interaction problems with free surface. The vibration of a plate in contact with an incompressible fluid is considered as state equations in the optimization problem, and distributed controls on the plate are calculated to suppress the slosh.
Locking-free finite elements are used to discretize the plate, which is modeled by Reissner–Mindlin equations. The effect of the fluid is taken into account by means of an added mass formulation, discretized by standard piecewise linear tetrahedral finite elements, and the gravity waves on the free surface of the liquid are considered in the model. The control variable is the amplitude of a secondary force actuating on the structure.
Implementation issues are discussed, and numerical experiments are presented. Copyright © 2012 John Wiley & Sons, Ltd.