Magneto-electrically induced vibration control of a plate contacted with fluid

Abstract

In this paper, magneto-electrically induced vibration control of a magneto-electro-elastic plate in contact with fluid is studied by means of maximum principle. The performance index functional to be minimized at the predetermined control duration is considered as a modified kinetic energy of the magneto-electro-elastic plate and it is defined as a weighted quadratic functional of displacement and velocity and also includes as a penalty function of the control force spent in control duration. Two numerical examples are presented and results indicate that introduced control algorithm for damping the vibrations due to magneto-electric load on magneto-electro-elastic plate is very robust and effective