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Report on the Cable-stayed Bridge Control Problem - Phase 2

By Shirley Dyke

Purdue University

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This report presents the extended problem definition for the second generation of benchmark structural control problems for cable-stayed bridges. The benchmark problem is based on the Bill Emerson Memorial Bridge that is currently under construction in Cape Girardeau, Missouri, USA. Construction of the bridge is expected to be completed in 2003. The goal of this study is to provide a testbed for the development of strategies for the control of cable stayed-bridges. Based on detailed drawings of the Emerson bridge, a three-dimensional evaluation model has been developed to represent the complex behavior of the full scale benchmark bridge. The linear evaluation model is developed using the equations of motion generated around the deformed equilibrium position. Phase II considers more complex structural behavior than Phase I, including multisupport and transverse excitations. Evaluation criteria are presented for the design problem that are consistent with the goals of seismic response control of a cable-stayed bridge. Control constraints re also provided to ensure that the benchmark results are representative of a control implementation on the physical structure. Each participant in this benchmark bridge control study is given the task of defining (including devices, sensors and algorithms), evaluating and reporting on their proposed control strategies. These strategies may be either passive, active, semi-active or a combination thereof. Participants should also evaluate the robust stability and performance of their resulting designs through simulation with a evaluation model which includes additional mass due to snow loads. A simulation program has been provided to facilitate direct comparison of the capabilities and efficiency of the various control strategies. The problem has been made available for downloading through the internet in the form of a set of MATLAB equations. A sample control design is included to guide participants through the benchmark problem.


This research is supported in part by the National Science Foundation Grant No. CMS 97-33272 (Dr. S.C. Liu, Program Director). The authors would like to thank Mr. Shyam Gupta of the Missouri Department of Transportation and Mr. Bill Strossener from FHWA for pertinent information on the Cape Girardeau Bridge. The helpful advice of Prof. Yozo Fujino (University of Tokyo), Prof. Masato Abe (University of Tokyo), Prof. Hirokazu Iemura (Kyoto University), Prof. Joel Conte (University of California, Los Angeles), Prof. Petros Voulgaris (University of Illinois), Prof. Fabio Biondini (Politecnico di Milano), and Gerry Pollok (ABAQUS), as well as additional comments provided by members of the ASCE/IASC Task Group on Benchmark Structural Control Problems and other members of the structural control community, are gratefully acknowledged.

Cite this work

Researchers should cite this work as follows:

  • J.M. Caicedo, S.J. Dyke, S.J. Moon, L.A. Bergman, G. Turan, and S. Hague, 'Phase II Benchmark Control Problem for Seismic Response of Cable-Stayed Bridges', Journal of Structural Control: Special Issue on the Cable-Stayed Bridge Seismic Benchmark Control Benchmark Bridge Problem, Vol. 10, Nos. 3-4, pp. 137-168, 2003.

  • Shirley Dyke (2011), "Report on the Cable-stayed Bridge Control Problem - Phase 2,"

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