Modeling and analysis of coupled vibration of a carriage and skyline

Based on Euler beam assumptions, the nonlinear contact problems of cableway systems in carriage and suspension structure surface are considered. By using the Hertz contact model, the nonlinear contact models of cable and carriage are obtained. The governing equation of the coupled vibration of a carriage and skyline were presented. It can be shown that the effects and variation of the velocity of carriage, vertical displacement, vibration frequency, the axial force of cable and other factors of cableway system. By combining the engineering cases together, a numerical simulation was carried out. The simulation results showed that the maximum vertical displacement of the load is in the position of the middle of the span. The variation of the axial force with the location of carriage, affects the vertical vibration displacement of the load at different speeds. Furthermore, it can be seen that the vertical displacement of the hanging goods corresponding to the dynamic axial force is between two static axial forces. With the increase of the speed of the carriage, the amplitude of the hanging goods also increases, so the speed of the carriage cannot be increased too much, so as to avoid too much vertical amplitude. These results may provide a theoretical reserve and reference for engineering ropeway design.