基于惯容系统位置的调谐质量阻尼器的振动控制研究

Vibration control of TMD based on position of inertial system

为研究惯容系统位置对调谐质量阻尼器(tuned mass damper,TMD)减振性能的影响,首先基于动力学原理,采用定点理论对惯质调谐质量阻尼器(TMD-inerter,TMDI)进行参数优化,得到最优频率比和最优阻尼比解析解;其次讨论了频率比及阻尼比对结构振动特性的影响;最后对TMDI鲁棒性进行研究。结果表明:惯容系统连接位置对阻尼器吸振能力影响显著,与传统TMD和非接地TMDI相比,接地TMDI使主结构动力放大系数分别减小约8.4%、16.5%;接地TMDI调频宽度相比传统TMD提高约6%;在阻尼摄动范围内,接地TMDI减振系统动力放大系数增幅约1.5倍;接地TMDI具有更良好的鲁棒性,可为设计新型TMDI模型提供理论参考。

Here,to study effects of position of inertial system on vibration reduction performance of tuned mass damper(TMD),firstly,based on the dynamic principle,the fixed-point theory was used to optimize parameters of TMD-inerter(TMDI),and analytical solutions toits optimal frequency ratio and optimal damping ratio were obtained.Secondly,effects of frequency ratio and damping ratio on structural vibration characteristics were discussed.Finally,the robustness of TMDI was studied.The results showed that the connection position of inertial system significantlyaffects vibration absorption capacity of TMD;compared with traditional TMD and ungrounded TMDI,grounded TMDI reduces dynamic amplification factors of main structure by about 8.4%and 16.5%,respectively;frequency modulation width of grounded TMDI is about 6%higher than that of traditional TMD;within the range of damping perturbation,the dynamic amplification factor of grounded TMDI vibration reduction system increases by about 1.5 times;grounded TMDI has better robustness;the study can provide a theoretical reference for designing new type TMDI models.