Exact H2optimal tuning and experimental verification of energy-harvesting series electromagnetic tuned mass dampers

Abstract

Energy-harvesting series electromagnetic tuned mass dampers (EMTMDs) have been recently proposed for dual-functional energy harvesting and robust vibration control by integrating the tuned mass damper (TMD) and electromagnetic shunted resonant damping. In this paper, we derive ready-to-use analytical tuning laws for the energy-harvesting series EMTMD system when the primary structure is subjected to force or ground excitations, like wind loads or earthquakes. Both vibration mitigation and energy harvesting performances are optimized using H2 criteria to minimize root-mean-square values of the deformation of the primary structure, or maximize the average harvestable power. These analytical tuning laws can easily guide the design of series EMTMDs under various ambient loadings. Later, extensive numerical analysis is presented to show the effectiveness of the series EMTMDs. The numerical analysis shows that the series EMTMD is superior to mitigate the vibration of the primary structure nearly across the whole frequency spectrum, as compared to that of classic TMDs. Simultaneously, the series EMTMD can better harvest the energy due to broader bandwidth effect. Beyond simulations, this paper also experimentally verifies the effectiveness of the energy-harvesting series electromagnetic TMDs in both vibration mitigation and energy harvesting.