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Uncertainty Analysis of Excitation Conditions on Performance of Nonlinear Monostable Energy Harvesters

机译：非线性单位能量收割机性能励磁条件的不确定性分析

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摘要

Nonlinear energy harvesters were found to be sensitive to excitation conditions. In order to reveal the influence mechanism of the excitation condition on the energy harvesting performance, this paper presents an uncertainty analysis for nonlinear monostable energy harvesters (NMEHs). An improved interval extension based on the second-order Taylor's series is presented as a new uncertainty analysis method. A mathematic example is used to demonstrate that the bounds of responses based on this method are more accurate than the classic interval extension when the dependence of the response on the uncertain variable is nonlinear. Meanwhile, the results from the Monte Carlo simulation are used to verify the accuracy of the proposed method. It is confirmed that the proposed method is suitable for quantifying the propagation of the uncertain level and frequency of the excitation for the NMEH. The results show that the output voltage of the NMEH is more sensitive to the frequency than the level of excitation, for which the influence mechanism is revealed.
机译：发现非线性能量收割机对激发条件敏感。为了揭示励磁条件对能量收集性能的影响机理，本文对非线性单稳态能量收割机（Nmehs）提供了不确定性分析。基于二阶Taylor系列的改进的间隔扩展作为一种新的不确定性分析方法。数学例子用于演示基于该方法的响应的界限比当不确定变量上的响应的依赖性是非线性时比经典间隔扩展更准确。同时，蒙特卡罗模拟的结果用于验证所提出的方法的准确性。证实，所提出的方法适用于量化不确定的水平和频率的频率对NMEH的传播。结果表明，NMEH的输出电压对频率比激发水平更敏感，揭示了影响机制。

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