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Optimization and application of multiple tuned mass dampers in the vibration control of pedestrian bridges

  • Lu, Zheng (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University) ;
  • Chen, Xiaoyi (Research Institute of Structural Engineering and Disaster Reduction, Tongji University) ;
  • Li, Xiaowei (Research Institute of Structural Engineering and Disaster Reduction, Tongji University) ;
  • Li, Peizhen (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University)
  • Received : 2014.10.09
  • Accepted : 2017.01.05
  • Published : 2017.04.10

Abstract

An effective design approach for Multiple Tuned Mass Dampers (MTMDs) in pedestrian bridges was proposed by utilizing the transfer function to obtain each TMD's optimum stiffness and damping. A systematic simulation of pedestrian excitations was described. The motion equation of a typical MTMD system attached to a Multi-degree-of-freedom (MDOF) system was presented, and the transfer function from the input pedestrian excitations to the output acceleration responses was defined. By solving the minimum norm of the transfer function, the parameters of the MTMD which resulted in the minimum overall responses can be obtained. Two applications of lightly damped pedestrian bridges attached with MTMD showed that MTMDs designed through this method can significantly reduce the structural responses when subjected to pedestrian excitations, and the vibration control effects were better than the MTMD when it was considered as being composed of equal number and mass ratios of TMDs designed by classical Den Hartog method.

Acknowledgement

Supported by : National Natural Science Foundation of China

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