Active vibration control is investigated for axially moving strings with a tersioner. The tensioner is used as an actuator. The active control law is proposed from the view of the traveling wave propagation. Transverse response of both the uncontrolled and the controlled systems is derived in the frequency domain. The designed controller is numerically tested for the string under impulse and ha...

The purpose of this study is to investigate the dynamic response of axially translating continua undergoing both the effect of friction and axial acceleration. The axially moving continuum is initially modeled as a string, neglecting its flexural stiffness; the response, with particular interest given to transverse vibrations and dynamic stability, is studied through numerical methods. A finite...

A modified finite difference method is presented to simulate transverse vibrations of an axially moving string. By discretizing the governing equation and the stress–strain relation at different frictional knots, two linear sparse finite difference equations are obtained, which can be computed alternatively. The numerical method makes the nonlinear model easier to deal with and of small truncat...