Vibration suppression of a micro beam subjected to magneto-electric load

Control of vibrations, induced by magneto-electric load, using piezoelectric actuator in a magneto-electroelastic micro beam is taken into account. Wellposedness and controllability properties the system discussed. Performance index functional to be minimized on control duration chosen as modified kinetic energy beam. By means maximum principle, optimal vibration problem transformed solving partial differential equations linked terminal-initial-boundary conditions. Solutions are obtained MATLAB for indicating effectiveness robustness applied actuation, results presented tables graphical forms.