双调谐质量阻尼器参数分析及简化设计方法

Parametric Analysis and Simplified Design Method of Double Tuned Mass Damper

双调谐质量阻尼器参数较多,迄今其设计方法、有效性和鲁棒性的研究仍不完善。针对双调谐质量阻尼器的设计方法进行了研究,推导了双调谐质量阻尼器-单自由度结构体系的位移响应放大系数,基于min.(max.DDMF)最优化目标函数,系统地分析了阻尼器参数对受控结构位移响应放大系数控制效果的影响规律;在此基础上,给出了一种双调谐质量阻尼器(DTMD)的简化设计方法,并通过仿真分析对该简化设计方法的有效性进行了评价。结果表明,基于受控结构-DTMD系统参数研究提出的简化设计方法可为DTMD的实际应用提供理论指导;依据简化设计方法设计的双调谐质量阻尼器可有效降低受控结构的动力响应,且控制效果的鲁棒性明显优于单调谐质量阻尼器(TMD)。

The design method, effectiveness and robustness of double tuned mass damper （DT- MD） have not been fully researched due to its lots of parameters. In view of this, the method for design of the DTMD was researched, the displacement response amplification factor of DTMD- single degree of freedom system was derived. Based on min. （max. DDMF） optimized objective function, the regularity of influence of damper＇s parameters on effectiveness of controlling dis- placement response amplification coefficient of the structure was analyzed systematically. Based on this, a simplified design method for DTMD was presented, and its effectiveness was evaluated through simulation analysis. Results show that the simplified design method proposed based on parametric research of controlled structure-DTMD system may provide a theoretical guide for practical application of DTMD. The DTMD designed according to the simplified design method can effectively reduce the dynamic response of the main structure, and the robustness of control- ling effectiveness of the MTDM is better than that of single tuned mass damper （TMD）.