Abstract
Tuned mass damper (TMD) has a wide application in the human-induced vibration control of pedestrian bridges and its parameters have great influence on the control effects, hence it should be well designed. A new optimization method for a TMD system is proposed in this paper, based on the artificial fish swarm algorithm (AFSA), and the primary structural damping is taken into consideration. The optimization goal is to minimize the maximum dynamic amplification factor of the primary structure under external harmonic excitations. As a result, the optimized TMD has a smaller maximum dynamic amplification factor and better robustness. The optimum TMD parameters for a damped primary structure with different damping ratios and different TMD mass ratios are summarized in a table for simple, practical design, and the fitting equation is also provided. The TMD configuration optimized by the proposed method was shown to be superior to that optimized by other classical optimization methods. Finally, the application of an optimized TMD based on AFSA for a pedestrian bridge is proposed as a case study. The results show that the TMD designed based on AFSA has a smaller maximum dynamic amplification factor than the TMD designed based on the classic Den Hartog method and the TMD designed based on the Ioi Toshihiro method, and the optimized TMD has a good effect in controlling human-induced vibrations at different frequencies.
Highlights
Pedestrian bridges are more and more common in urban regions
The results show that the Tuned mass dampers (TMD) designed based on artificial fish swarm algorithm (AFSA) has a smaller maximum dynamic amplification factor than the TMD designed based on the classic Den Hartog method and the TMD designed based on the Ioi Toshihiro method, and the optimized TMD has a good effect in controlling human-induced vibrations at different frequencies
The classic Den Hartog method [29] has a wide application in TMD design; it does not consider the damping of the primary system, which may lead to a defective TMD
Summary
Pedestrian bridges are more and more common in urban regions. with the development of architectural creativeness and structural technologies, they are becoming lighter and more slender, which might lead to serviceability problems under human-induced vibrations [1]. Li et al [20] studied the pedestrian-induced random vibration of pedestrian bridges and vibration control methods using multiple TMDs. Lievens et al [21] introduced the robust design and application of a TMD in a footbridge. [35,36], the artificial fish swarm algorithm (AFSA) is applied to optimize TMD parameters in controlling the human-induced vibrations of footbridges. Proposed an improved design method considering structural damping, whose optimization goal is to minimize the maximum acceleration dynamic amplification factor of the primary structure under external harmonic excitations. In order to depress the maximum acceleration dynamic amplification factor of the primary structure under external excitation and strengthen the robustness of TMD, a novel optimization method based on the artificial fish swarm algorithm (AFSA). Proposed design method and the vibration control effect of the optimized TMD is verified through a case study
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