Optimal Design of MTMD Vertical Vibration-Reduction for Horizontal Structures Based on the Combination of Optimal Parameters
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摘要: MTMD系统的减振效果取决于调谐质量阻尼器(TMD)参数和布置位置的优化。针对大型楼盖、空中连廊等水平结构的竖向振动控制问题,建立了水平结构的MTMD竖向减振系统优化设计方法;该方法包含以下两个步骤: 1)基于有阻尼单自由度结构–TMD动力系统的频域解推导出TMD最优减振参数组合计算方法; 2)由竖向参振质量选择目标控制振型并通过最大振型位移确定TMD布置位置。分析结果表明:该方法简单实用、计算效率高,在MTMD总质量仅为主结构质量0.5%的情况下,对不同步频的人行荷载激励均能达到理想的竖向减振效果。Abstract: The vibration-reduction effect of the MTMD system depends on the optimization of both Tuned Mass Damper (TMD) parameters and its arrangement. For the vertical vibration control of horizontal structures including large floors and aerial corridors, an optimal design method of the MTMD vibration-reduction system, which consists of the following two steps, was proposed: 1) the optimal parameters of TMD were derived from the frequency domain solution for a damped single degree of freedom structure with TMD; 2) each target-mode was extracted according to the dominated participated-mode-mass, and the TMDs with optimal parameters were arranged where the greatest mode-displacement appeared. The results showed that the method was simple, practical, and had high calculation efficiency. For pedestrian load excitations with different frequencies, the ideal vertical vibration-reduction effect could be achieved when the mass of MTMD was only 0.5% to that of the main structure.
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Key words:
- horizontal structure /
- vertical vibration control /
- MTMD /
- optimal design
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