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.

中文翻译：

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高斯白噪声下带双刚性塞的振动冲击能量收集系统的响应

摘要 本文研究了双刚性挡块随机能量收集系统的响应，采用牛顿冲击模型来描述质量块与挡块之间的冲击力。据作者所知，几乎没有利用能量包络的随机平均来研究振动冲击能量收集系统的动力学特性。首先，采用这种理论方法来研究具有双边刚性冲击的单稳态能量收集系统。在得到等效系统后，考虑各准周期冲击造成的能量损失，从理论上推导出概率密度函数，并通过数值模拟验证了理论方法的有效性。然后，给出了具有双边刚性止动器的随机双稳态系统的响应时程，以分析噪声强度和冲击距离对系统的影响。此外，讨论了系数对单稳态和双稳态系统中均方电压的影响，以帮助提高能量收集性能，并观察到一些有趣的现象。