The role of magnetic fields in the strong stabilization of a hybrid magneto‐elastic structure |
| |
Authors: | Marié Grobbelaar‐Van Dalsen |
| |
Institution: | School of Mathematics, University of the Witwatersrand, , Private Bag X03, 2050 WITS, South Africa |
| |
Abstract: | In this paper, we are concerned with a model for the magneto–elastic interactions of a three‐dimensional elastic body and a two‐dimensional flexible plate, which is attached to the flat flexible part of the surface of the body. Both the solid body and the plate are permeated by magnetic fields. The mathematical model is analyzed from the point of view of existence and uniqueness and stabilization.It turns out that, in the presence of the magnetic fields in the solid and the plate, strong stabilization can be achieved under viscous damping in the plate in one direction that is determined by the nature of the primary magnetic fields in the body and the plate. Copyright © 2011 John Wiley & Sons, Ltd. |
| |
Keywords: | magneto– elastic interaction strong stability |
|
|