ANALYTICAL METHOD FOR THE DYNAMIC ANALYSIS OF COMPLEX CABLE STRUCTURES

Abstract eng:
The problem of vibration mitigation of stay cables in cable-stayed bridges becomes challenging when the solution that is chosen interconnects the stays by means of transverse cross-ties. The modal analysis problem of the individual cable is therefore transformed into that of a more complex "grid structure", in which the behavior is influenced both by global and local characteristics. A generalized analytical technique, founded on taut-string theory, is first presented; the original theory is extended and applied to the case of cable networks, in which the force-deformation characteristics of the transverse connectors are initially simulated by means of linear models (springs, rigid elements). Subsequently, a modification to the original approach considers the addition of dampers in specific locations of the structure. The use of complex-domain analysis is therefore introduced; in this way a generalized tool for the analysis of a wide class of problems is developed. The procedure is applied to simplified cases, in which the results are compared to closed- form solutions, and subsequently extended to multi-degree-of-freedom systems and large existing structures (e.g., Fred Hartman Bridge).

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