Smart Structures and Systems

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Optimal design of multiple tuned mass dampers for vibration control of a cable-supported roof

  • Wang, X.C. (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Teng, Q. (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Duan, Y.F. (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Yun, C.B. (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Dong, S.L. (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Lou, W.J. (College of Civil Engineering and Architecture, Zhejiang University)
  • Received : 2020.04.13
  • Accepted : 2020.05.28
  • Published : 2020.11.25
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Abstract

A design method of a Multiple Tuned Mass Damper (MTMD) system is presented for wind induced vibration control of a cable-supported roof structure. Modal contribution analysis is carried out to determine the dominating modes of the structure for the MTMD design. Two MTMD systems are developed for two most dominating modes. Each MTMD system is composed of multiple TMDs with small masses spread at multiple locations with large responses in the corresponding mode. Frequencies of TMDs are distributed uniformly within a range around the dominating frequencies of the roof structure to enhance the robustness of the MTMD system against uncertainties of structural frequencies. Parameter optimizations are carried out by minimizing objective functions regarding the structural responses, TMD strokes, robustness and mass cost. Two optimization approaches are used: Single Objective Approach (SOA) using Sequential Quadratic Programming (SQP) with multi-start method and Multi-Objective Approach (MOA) using Non-dominated Sorting Genetic Algorithm-II (NSGA-II). The computation efficiency of the MOA is found to be superior to the SOA with consistent optimization results. A Pareto optimal front is obtained regarding the control performance and the total weight of the TMDs, from which several specific design options are proposed. The final design may be selected based on the Pareto optimal front and other engineering factors.

Keywords

Acknowledgement

This research work was supported by the National Key R&D Program of China (2018YFE0125400, 2017YFC0806100, and 2019YFE0112600) and the National Natural Science Foundation of China (U1709216, 51578419, 51522811, 51478429, and 90915008).

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