An Analytical Study on Transverse Vibration of Both End Fixed Cable with a Moving Mass

Thakur Dhakal, Woo-Cheul Park

Abstract: This paper presents the theoretical study on transverse vibration of both end fixed cable with a moving mass. The non-linear equation derived using Newtons force conservation principle is non-dimensionlized and solved with the application of Galerkins approximation method. The main excitation source of cable vibration is moving mass. The modelled equation is simulated with MATLAB, considered up to 4th mode of vibration. The study shows that when the velocity of moving mass increasing, the mid span lateral deflection of cable is increased up to certain velocity, then decreased up to zero when the mass reached to the next fixed end. Similarly, the maximum transverse deflection is seen in the first mode. Increasing the modal frequency the lateral displacement is decreased

Keywords: Cable Vibration, Galerkins Approach, Transverse Vibration, Moving Mass, Dimensionless Parameters, Both End Fixed Cable