Vibration control and suppression of an axially moving string

Abstract

The focus of this work is to develop a direct and exact approach using the Green’s function to suppress the transverse vibration of an axially moving string supported by two eyelets. This is achieved by introducing suitable control forces (using actuators) or passive elements to be located at some chosen locations along the span between the eyelets. A scheme is proposed for evaluating the control forces and their locations to suppress the vibration and correspondingly decrease the generated noise. The variation of the running speed, different end supports and damping are taken into consideration.