Vibration control of beam-TMDI system based on frequency domain analysis method
LI Jinhua1,2, CHAI Shizong2, ZHANG Yao2, YU Yong3
1.Department of Civil Engineering, East China Jiaotong University, Nanchang 330013, China;
2.National Experimental Teaching Demonstration of Civil Engineering, East China Jiaotong University, Nanchang 330013, China;
3.Jiangxi Vocational and Technical College of Communication, Nanchang 330013, China
摘要采用调谐质量阻尼器惯性（tuned mass damper inerter，TMDI）对梁结构进行减振控制，推导了地震加速度激励下梁结构位移响应解析式和移动力作用下梁结构位移响应解析式。给出了梁-TMDI系统的最优参数，并进行参数敏感性分析，然后通过数值分析研究了TMDI系统的控制效果，并对比了TMDI系统与调谐质量阻尼器（tuned mass damper，TMD）系统的减振效果。研究结果表明：由频域法得到的梁结构振动位移响应谱能有效地反映梁结构位移响应；利用增广拉格朗日参数优化法可以准确地获得使梁结构振动响应最小的参数；TMDI系统的敏感性受惯性器控制，惯性器对其鲁棒性影响明显；TMDI系统减振性能明显优于常规TMD系统。
Abstract：Here, tuned mass damper inerter (TMDI) was used to control vibration of beam structure.Analytical expressions for displacement response of beam structure under seismic acceleration excitation and that under moving force were derived.Optimal parameters of beam-TMDI system were given, and the sensitivity of parameters was analyzed.Then, the control effect of TMDI system was studied through numerical analysis, and the vibration reduction effect of TMDI system and that of tuned mass damper (TMD) system were compared.The results showed that the vibration displacement response spectrum of beam structure obtained with the frequency domain method can effectively reflect the displacement response of beam structure; using the augmented Lagrange parametric optimization method can accurately obtain parameters being able to minimize vibration response of beam structure; the sensitivity of TMDI system can be controlled with inertial device, and the latter obviously affects the former’s robustness; the vibration reduction performance of TMDI system is obviously better than that of TMD system.
李锦华1,2，柴世宗2，张耀2,涂勇3. 基于频域分析方法的梁-TMDI系统的振动控制研究[J]. 振动与冲击, 2021, 40(11): 91-100.
LI Jinhua1,2, CHAI Shizong2, ZHANG Yao2, YU Yong3. Vibration control of beam-TMDI system based on frequency domain analysis method. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(11): 91-100.
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