电磁调谐双质阻尼器的参数优化及对结构减震分析

摘要

In this paper, an electromagnetic shunt tuned mass-inerter-damper (EM-TMID) is proposed, which can be realized the dual-function of vibration control and energy harvesting. The feature of the damper is that the viscous damping of the traditional tuned mass damper is replaced by the electromagnetic transducer, which is also introduced with the inertance. According to the DAlembert's principle, the dynamical model of the coupled EM-TMID and a single degree of freedom structure system under the seismic excitation is introduced. Based on the Monte Carlo pattern search method, with the aims to minimize peak value of displacement and acceleration of the main structure, the three numerical solutions of the parameters, including the mechanical tuning ratio, the electrical damping ratio, electromagnetic mechanical coupling coefficient are obtained. Finally, with the optimal parameters, the frequency and time domain numerical simulations of the EM-TMID are conducted to analyze the performance of the vibration suppression. The results show that the EM-TMID is superior to the classical TMD of the fixed-points method about the reduction of the peak displacement and acceleration of main structure in the frequency response. The EM-TMID is superior to that of classical TMD in the reduction of the peak and root mean square value of displacement and acceleration in the time domain. Therefore, the EM-TMID has better dynamic characteristics and robustness than classical TMD, and effectively improves the damping effect of the structure.%目的 利用电磁阻尼单元代替经典调谐质量阻尼器中的黏性阻尼单元, 引入惯质概念, 提出一种具有结构减震功能的新型电磁调谐双质阻尼器 (EM-TMID) .方法 依据达朗伯原理, 建立EM-TMID与单自由度耦合结构在地震作用下的动力学模型;然后基于蒙特卡洛-模式搜索法数值优化理论, 分别以主结构位移和加速度峰值最小为目标函数, 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优化参数;最后通过频域和时域两种方法仿真分析了EM-TMID对结构的减震性能.结果 在频域分析中, EM-TMID的主结构位移和加速度频响峰值优于固定点法的经典TMD;在时域分析中, EM-TMID对结构位移、加速度峰值和均方根的减震性能均优于经典TMD.结论 EM-TMID较经典TM D有更好的动态特性和鲁棒性, 有效地提高了对结构的减震效果.