This paper analyzes the impact of parametric uncertainties on the dynamics of bistable energy harvesters, focusing on obtaining statistical information about how each parameter's variability affects the energy harvesting process. To model the parametric uncertainties, we use a probability distribution derived from the maximum entropy principle, while polynomial chaos is employed to propagate uncertainty. We consider different models of bistable energy harvesters that account for nonlinear piezoelectric coupling and asymmetries. Our findings suggest a higher probability of increasing harvested power in the intrawell motion regime as the excitation frequency increases. In contrast, increasing the excitation amplitude and piezoelectric coupling are more likely to increase power in the chaotic and interwell motion regimes, respectively.

翻译：本文分析了参数不确定性对双稳态能量采集器动力学的影响，重点获取各参数变异性如何影响能量采集过程的统计信息。为建模参数不确定性，我们采用基于最大熵原理导出的概率分布，并利用多项式混沌方法进行不确定性传播。研究考虑了包含非线性压电耦合和非对称性的多种双稳态能量采集器模型。结果表明，随着激励频率增加，在阱内运动状态下采集功率提升的概率更高。相比之下，增大激励幅值更可能提升混沌运动状态下的功率，而增强压电耦合则更可能提高阱间运动状态下的功率。