Dynamic Analysis of Moving Cables with Variable Tension and Variable Speed,

Dynamic Analysis of an axially moving cable with time dependent tension and velocity isstudied in this paper. Tension force and the moving speed are assumed to be harmonic.It is found that there exists a specific value of speed in which natural frequency of the system approaches zero. This specific speed for such a critical condition is called critical speed and it will be proved that increasing the cable tension increases critical speed of the moving cable. Multiple-Scales perturbation technique is used to discretize the nonlinear equations of motions. Critical speeds are then obtained in which vibrations of motion become unstable. Stability analysis is carried out for different sets of excitation frequency. Dynamic responses of the system are calculated using Galerkin’s method. Acomprehensive parametric study is carried out and effects of different parameters like the moving speed and tension force on the responses are studied both in frequency and time domain.