电磁调谐双质阻尼器的H_2参数优化及对结构减震分析

该文在利用电磁阻尼单元代替经典型调谐质量阻尼器中的粘性阻尼单元的基础上,引入惯质单元,形成一种新型的具有结构减振和能量收集双重功能的电磁调谐双质阻尼器(electromagnetic tuned mass-inerter damper,EM-TMID)。依据达朗伯定理,建立EM-TMID与单自由度结构耦合结构受地震作用时的动力学模型。然后基于H2优化理论,即以主结构位移均方根值最小为目标函数,对EM-TMID进行参数优化,得到EM-TMID的结构频率比、电磁阻尼比和机电耦合系数的最优解析式。最后通过频域和时域两种仿真方法数值仿真分析了EM-TMID对结构的减震和能量收集的双重性能。结果表明,在频域分析中,EM-TMID的主结构位移峰值和频响面积均优于经典TMD、EM-TMD和TMDI。在时域分析中,EM-TMID对结构位移、加速度的峰值和均方根值的减震性能均优于经典TMD,同时能够进行能量收集。

THE H_2 PARAMETRIC OPTIMIZATION AND STRUCTURAI VIBRATION SUPPRESSION OF ELECTROMAGNETIC TUNED MASS-INERTER DAMPERS

A novel electromagnetic shunt tuned mass-inerter damper (EM-TMID) is proposed, which can realize dual functions of both vibration suppression and energy harvesting. A novel feature of the damper is that the viscous damping of traditional tuned mass dampers is replaced by that of electromagnetic transducers with inertance. According to the Alembert’s theorem, the dynamic model of a coupled EM-TMID and a single degree of freedom structural system under seismic excitation is established. Based on the H2 norm method with the aim of minimizing the root mean square value of the damage to the main structure, solutions of the three parameters, that is, the mechanical tuning ratio, electrical damping ratio and electromagnetic mechanical coupling coefficient, are obtained. With the optimal parameters, the frequency-domain and time-domain numerical simulations of the EM-TMID are conducted to analyze the dual functions of the vibration suppression and energy harvesting. The results show that in the frequency domain, the EM-TMID is superior to the classical TMD, EM-TMD and TMDI in terms of the reduction of the peak and area of the frequency response of the displacement of the main structure.In the time domain, the EM-TMID is superior to classical TMDs in terms of the reduction of the peak and root mean square value of displacement and acceleration. Meanwhile, the EM-TMID can also harvest energy.