随机激励下单自由度能量采集器的性能测量
Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation
摘要：
我们开发的性能标准的随机激励下的不同类别的单自由度振荡器的客观比较。对于每个振荡器族，这些客观标准考虑了针对给定响应水平收集的最大可能能量，这是与收集配置的大小直接相关的量。我们证明了导出的标准是不变的输入频谱的幅度或时间重新缩放，它们只依赖于跨不同的谐波激励的能量的相对分布。然后，我们比较三种不同类别的线性和非线性振荡器，并使用随机分析工具，我们说明，在所有情况下的激发光谱（单色，宽带，白噪声）的最佳性能的所有设计不能超过线性设计的性能。随后，我们研究了这种最佳性能的鲁棒性输入频谱的小扰动，并说明了非线性设计相对于线性设计的优势。
英文摘要：
We develop performance criteria for the objective comparison of different classes of single-degree-of-freedom oscillators under stochastic excitation. For each family of oscillators, these objective criteria take into account the maximum possible energy harvested for a given response level, which is a quantity that is directly connected to the size of the harvesting configuration. We prove that the derived criteria are invariant with respect to magnitude or temporal rescaling of the input spectrum and they depend only on the relative distribution of energy across different harmonics of the excitation. We then compare three different classes of linear and nonlinear oscillators and using stochastic analysis tools we illustrate that in all cases of excitation spectra (monochromatic, broadband, white-noise) the optimal performance of all designs cannot exceed the performance of the linear design. Subsequently, we study the robustness of this optimal performance to small perturbations of the input spectrum and illustrate the advantages of nonlinear designs relative to linear ones.
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