Non-linear vibration of cable-damper systems Part II: Application and verification

The formulation derived in Part I of this paper is applied to investigate non-linear vibration behavior of inclined sag cables with and without oil dampers in long-span cable-stayed bridges. The inclined sag cables used in computation are also tested in the laboratory with scaled cables and oil dampers. The experimental results are then compared with the theoretical results to verify the suggested approach. Both theoretical analyses and experiments display some typical non-linear behavior of cable vibration, including response hardening, response bifurcation, multiple solutions, jump, and internal resonance. They also demonstrate that an oil damper with an appropriate damping coefficient being selected can effectively suppress large vibration amplitudes of the cable so that in some cases, non-linear cable vibration problem may become a linear vibration problem. The agreement between the experimental and theoretical results is found to be satisfactory.