Abstract
In this paper, responses of the stochastic energy harvesting systems with bilateral rigid stoppers are studied, in which the Newton’s impact model is adopted to describe the impact force between the proof mass and stoppers. To the best knowledge of the authors, the dynamical characteristics of the vibro-impact energy harvesting system have been scarcely investigated by utilizing the stochastic averaging of energy envelope. First, such theoretical method is employed to study the mono-stable energy harvesting system with bilateral rigid impact. After obtaining the equivalent system and considering the energy loss due to impact in every quasi period, the probability density functions are theoretically derived, and the effectiveness of the theoretical method is validated by numerical simulations. Then, the time history of response for the stochastic bi-stable system with bilateral rigid stoppers is given to analyze the effects of the noise intensity and the impact distance on the system. In addition, effects of the coefficients on the mean square voltage in the mono-stable and bi-stable systems are discussed to help to enhance the energy harvesting performance, and some interesting phenomena are observed.
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