Broadband energy harvesting based on one-to-one internal resonance**Project supported by the National Natural Science Foundation of China (Grant Nos. 11632008 and 11702119), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20170565), China Postdoctoral Science Foundation (Grant No. 2020M671353), and Jiangsu Planned Projects for Postdoctoral Research Funds, China (Grant No. 2020Z376).

Abstract

We design an electromechanical transducer harvesting system with one-to-one internal resonance that can emerge a broader spectrum vibrations. The novel harvester is composed of a Duffing electrical circuit coupled to a mobile rod, and the coupling between both components is realized via the electromagnetic force. Approximate analytical solutions of the electromechanical system are carried out by introducing the multiple scales analysis, also the nonlinear modulation equation for one-to-one internal resonance is obtained. The character of broadband harvesting performance are analyzed, the two peaks and one jump phenomenon bending to the right for variation of control parameters are observed. It is shown that an advanced bandwidth over a corresponding linear model that does not possess a modal energy interchange.