Response analysis of the piezoelectric energy harvester under correlated white noise

Response analysis of the piezoelectric energy harvester under correlated white noise
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相关白噪声下压电能量采集器的响应分析

DOI:
10.1007/s11071-017-3784-7
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发表时间:
2017-09
期刊:
影响因子:
5.6
通讯作者:
Jin Yanfei
Jin Yanfei
中科院分区:
工程技术2区
文献类型:
--
作者:
Xiao Shaoming;Jin Yanfei

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本文研究了相关乘性和加性白噪声下压电耦合单稳态达芬型能量收集器的能量收集。应用广义谐波变换来解耦机电方程,从而产生非耦合的等效非线性系统。使用随机平均方法,获得了振动能量采集器(VEH)随机响应的解析解。探讨了系统参数对均方位移、平均输出功率和功率谱密度的影响。研究发现相关噪声可以提高非线性VEH的性能。平均输出功率曲线随着时间常数比值的增大先增大,达到最大值后减小。这一现象对于能量收集具有重要意义。最后,通过数值模拟很好地验证了理论结果。
Energy harvesting of a monostable duffing-type harvester with piezoelectric coupling under correlated multiplicative and additive white noise is investigated in this paper. The generalized harmonic transformation is applied to decouple the electromechanical equations, which leads to an uncoupled equivalent nonlinear system. Using the stochastic averaging method, an analytical solution of random response for vibration energy harvesters (VEHs) is obtained. The effects of the system parameters on the mean-square displacement, the mean output power and the power spectral density are explored. It is found that the correlated noise can improve the performance of the nonlinear VEHs. The curve of the mean output power first increases with increasing the ratio of time constant, reaches a maximum and then decreases. This phenomenon is of great significance to energy harvesting. Finally, the theoretical results are well verified through the numerical simulations.
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发表时间: 2009-04-20
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