双稳态振动能量采集器的概率映射
Probabilistic maps on bistable vibration energy harvesters
AI总结：
本文通过最大熵原理建模参数不确定性，利用多项式混沌传播，研究双稳态能量采集器中各参数对能量采集的影响，发现频率增加提高阱内功率概率，幅值和压电耦合分别提升混沌和阱间功率概率。
摘要：
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，重点在于获取关于每个参数变异性如何影响能量采集过程的统计信息。为了对参数不确定性进行建模，我们使用了基于最大熵原理导出的概率分布，同时采用多项式混沌来传播不确定性。通过获得条件概率和概率映射，研究了不确定性对能量采集的影响。我们考虑了不同的双稳态能量采集器模型，这些模型考虑了非线性压电耦合和非对称性。我们的研究结果表明，随着激励频率的增加，在阱内运动状态下增加采集功率的概率更高。相反，增加激励幅值和压电耦合分别更可能增加混沌和阱间运动状态下的功率。文中给出了一个示例，以强调在所有参数同时变化时研究其影响的重要性。
英文摘要：
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. Conditional probabilities and probability maps are obtained to investigate the effect of uncertainty on harvesting energy. 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. An illustrative example is presented to emphasize the importance of investigating the influence when all parameters vary simultaneously.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
