Interaction Between In-Plane and Out-of-Plane Cable Modes for a Cable-Deck System Available to Purchase

When cables form part of larger structures, the interaction between the cable and structure can lead to complex vibration response. In this paper we consider a simplified one degree of freedom cable-stay bridge model, representing a bridge deck movement, which interacts with a particular cable in the structure. An analytical model is developed based on a modal decomposition and averaging to find the boundary at which nonlinear effects create out-of-plane vibration response. Experimental verification is carried out using a testing technique called real-time dynamic substructuring. This approach allowed the numerical model parameters to be varied, so the effects of parameter variation on the cable response could be studied. Small changes in the bridge deck frequency were found to lead to significant changes in the cable vibration response. This was investigated by computing stability boundaries for the out-of-plane modes, and good agreement was found between the experimental and analytical results.