电磁调谐质量阻尼器的H_2参数优化及对结构减震分析  

H_2 parameters optimization and vibration reduction analysis of electromagnetic tuned mass damper

作　　者：罗一帆[1] 孙洪鑫[1] 王修勇[1] LUO Yi-fan;SUN Hong-xin;WANG Xiu-yong(Hunan Provincial Key Laboratory of Structural for Wind Engineering and Vibrational Control,Hunan University of Science and Technology,Xiangtan 411201,China)

机构地区：[1]湖南科技大学结构抗风与振动控制湖南省重点实验室,湖南湘潭411201

出　　处：《振动工程学报》2018年第3期529-538,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51508185;51778228);973计划资助项目(2015CB057702)

摘　　要：利用电磁换能器代替传统型调谐质量阻尼器中的黏性阻尼,形成一种具有结构减震与能量收集双重功能的电磁调谐质量阻尼器(electromagnetic tuned mass damper,EMTMD)。通过分析电磁换能器的动力学模型,建立了电磁调谐质量阻尼器的力学模型。将电磁调谐质量阻尼器与单自由度结构相结合,建立耦合结构受地震作用时的动力学模型。基于H2优化理论,即以主结构位移均方根值最小为目标函数,对EMTMD进行参数优化,得到EMTMD的结构频率比、电磁阻尼比和机电耦合系数的参数优化解析解。通过频域和时域两种方法数值仿真分析了EMTMD对结构减震与能量收集的性能。结果表明,在最优状态下,EMTMD对结构位移、加速度峰值和均方根的减振性能略优于经典TMD,且其能量收集的平均功率高达约4.05×105 W。In this paper,a novel electromagnetic tuned mass damper（EMTMD）is proposed,which can perform the vibration control and energy harvesting simultaneously.The novel feature of the damper consists in that the viscous damping of the traditional tuned mass damper is replaced by the electromagnetic transducer.The mechanical property of the electromagnetic transducer is analyzed,and the dynamical model of the EMTMD is established.To analyze the performance of the EMTMD,the coupled EMTMD and a single degree of freedom structure system under seismic excitation is introduced.Based on the H2 norm with its aim to minimize the root mean square（RMS）value of structure damages,the three closed-form solutions of the parameters,i.e.the mechanical tuning ratio,the electrical damping ratio,the electrical tuning ratio,are obtained.With the optimal parameters,the frequency and time domain numerical simulations of the EMTMD are conducted to analyze the performance of the vibration mitigation and energy harvesting.The results show that in the optimal condition,the reduction of the peak and RMS value of displacement and acceleration of the EMTMD is superior to the classical TMD.Meanwhile,the average power of the energy harvesting is 4.05×105 W.

关 键 词：结构振动控制 调谐质量阻尼器 电磁阻尼器 参数优化 能量收集 

分 类 号：TU535[建筑科学—建筑技术科学] TU352.1