VIBRATION DISSIPATION OF A SHELL CONTAINING FLUID

Abstract

In this article, mechatronic control of a shell vibration containing fluid (partially filledwith a fluid) has been addressed. Simple actuators are utilized to achieve boundary stabilization.These actuators apply linear boundary feedbacks consisting of forces and moments from theboundaries of the shell to dissipate the vibrations. In this research, the fluid has free surface andwithout attaching any sensors or actuators in the fluid domain, the vibration suppression isobtained. This research utilizes semigroup approach and LaSalle invariant set theorem to prove theboundary stabilization.