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MATLAB‐based seismic response control of a cable‐stayed bridge: cable vibration

This paper presents the cable vibration problem of structural control for a cable‐stayed bridge. The goal of this study is not only to provide a test for development of strategies for control of cable vibration, but also to examine the effect of cable vibration on control of the structure itself. Based on the detailed drawings of the Gi‐Lu bridge, a three‐dimensional numerical model has been developed to represent complex behavior of the full‐scale bridge. Differential motion at multiple supports and cable flexibility are included in the analysis. A MATLAB‐based structural analysis tool has been developed that considers of geometrically nonlinear behavior of beam elements that represent the cables. The dynamic characteristics of cables are verified using field experiments, a commercial finite element code, and the MATLAB program. Evaluation criteria are presented for the design problems that are consistent with the goal of control of seismic response control of a cable‐stayed bridge. Control devices are assumed to be installed either between the deck and the end‐abutment and/or between the deck and cables. Passive and active devices are used to study behavior of the model. A comparison of the control responses using truss elements or using geometrically nonlinear beam elements to represent the cable is also presented. Copyright © 2005 John Wiley & Sons, Ltd.