摆式调谐质量阻尼器频率调节新方法  

Frequency tuning method in pendulum tuned mass dampers

作　　者：汪志昊[1] 郜辉[1] 张闯[1] 刘飞[1] 

机构地区：[1]华北水利水电大学土木与交通学院,河南郑州450045

出　　处：《振动工程学报》2016年第6期1062-1069,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51308214);河南省高等学校青年骨干教师资助计划(2015GGJS-104);河南省教育厅科学技术研究重点项目(13A560711);华北水利水电大学青年科技创新人才项目(2014)

摘　　要：针对大型摆式调谐质量阻尼器(PTMD)频率调节较难的问题,提出了一种基于永磁体作用力的频率调节新方法,即在PTMD上附加安装永磁体刚度调节装置,通过调整永磁体产生附加刚度的正负与大小,改变PTMD的等效刚度,继而实现PTMD频率的双向调节。基于拉格朗日方程建立了PTMD与永磁体刚度调节装置耦合系统的运动微分方程,阐述了该频率调节方法的可行性,以及PTMD振动频率随幅值的定性变化规律,最后开展模型试验进一步验证与明确了永磁体作用力对PTMD频率的调节机理。理论分析与试验结果表明:当摆式PTMD质量块两侧均布置相吸永磁体时,PTMD频率降低;当布置相斥永磁体时,PTMD频率增大;PTMD频率调节初步设计时,永磁体作用力的附加刚度理论计算值宜适当折减后作为实际等效刚度,该折减系数可偏保守的取为0.5。It is difficult to adjust the frequency of large-scale pendulum tuned mass damper （PTMD）. To overcome this issue, a new method for frequency tuning in PTMD based on magnetic force is proposed, where the stiffness adjusting device consisted of permanent magnets is attached at the PTMD. The equivalent stiffness of the PTMD can be altered by adjusting the sign and size of the supplemental stiffness generated by magnetic force with permanent magnets. As a result, frequency tuning of PTMD is realized. Differential equation of motion for the combined PTMD and stiffness adjusting device system is established based on Lagrange＇s equation. Feasibility of the presented frequency tuning method is well demonstrated, and the effect of vi- bration frequency on amplitude of the PTMD is qualitatively investigated. Finally, frequency regulation mechanism with mag- netic force method is further proved and clarified by model test of a PTMD. Both theoretical and experimental results show that., when attractive force between permanent magnets is applied, the frequency of PTMD will be decreased; while repulsive force between permanent magnets is applied, the frequency of PTMD will be increased. It is also recommended that the supplemental theoretical stiffness generated by magnetic force should be reduced as the actual design value of equivalent stiffness during frequency tuning design of PTMD, and the corresponding reduction factor can be conservatively taken as 0.5.

关 键 词：振动控制 调谐质量阻尼器 频率调节 拉格朗日方程 等效刚度 

分 类 号：TB535.1[理学—物理] TU352.2[理学—声学]