Analytical Solutions to H-2 and H-infinity Optimizations of Resonant Shunted Electromagnetic Tuned Mass Damper and Vibration Energy Harvester

作者：Tang Xiudong; Liu Yilun; Cui Wen; Zuo Lei^*

来源：Journal of Vibration and Acoustics-Transactions of the ASME, 2016, 138(1): 011018.

DOI：10.1115/1.4031823

• tuned mass damper
• vibration energy harvesting
• resonant shunt damping
• electromagnetic
• optimization
• closed-form solution

When optimized, tuned mass dampers (TMDs) can effectively mitigate the vibration of the primary structure, because additional resonance and damping are introduced by the auxiliary mass-spring-damper system. Similar effect can be realized without auxiliary mass when an electromagnetic transducer shunt with the R-L-C resonant circuit is placed between the primary structure and the base. This paper is to analytically optimize the parameters of the R-L-C circuits for vibration mitigation. Both H-2 and H-infinity optimization criteria are investigated, which are to minimize the root-mean-square (RMS) vibration under random excitation and the peak magnitude in the frequency domain, respectively. The concise closed-form solutions of the optimal parameters are then summarized together with the ones obtained the using fixed-point method, for practical implementation convenience. The H-2 and H-infinity optimizations of energy harvesting are also discussed in this paper. Furthermore, we also investigate the sensitivity of system performances to the tuning parameter changes of the electromagnetic shunt circuit.

• 出版日期2016-2
• 单位Virginia Tech; 美国弗吉尼亚理工大学(Virginia Tech)