多自由度非高斯随机振动控制
收稿日期: 2016-05-20
修回日期: 2016-09-07
网络出版日期: 2016-10-09
Multi-degree-of-freedom non-Gaussian random vibration control
Received date: 2016-05-20
Revised date: 2016-09-07
Online published: 2016-10-09
在振动试验台上进行多自由度（MDOF）随机振动激励时，传统的控制方法生成的驱动信号及试验台的响应信号都是高斯信号。但真实的振动干扰信号多是超高斯的；而相比于高斯激励，亚高斯激励可降低驱动信号的最大幅值。为实现多自由度亚高斯和超高斯振动控制，提出一种多自由度非高斯随机振动控制方法，该方法采用系统辨识解决系统耦合问题，而后通过选择特殊的相位生成非高斯伪随机驱动信号，再经过时域随机化得到真随机非高斯驱动信号。基于Hexapod平台的多自由度微振动试验台的亚高斯和超高斯实验表明，在试验台的响应功率谱（PSD）满足工程中常用的±3 dB精度的同时，亚高斯驱动信号的最大幅值相比于高斯驱动信号的最大幅值降低了20%以上；超高斯响应信号的峭度与参考峭度的误差在0.2之内。实验结果验证了所提方法的有效性。
孟韩 , 黄海 , 黄舟 . 多自由度非高斯随机振动控制[J]. 航空学报, 2017 , 38(2) : 220458 -220465 . DOI: 10.7527/S1000-6893.2016.0253
The drive signal and the response signal generated by traditional multi-degree-of-freedom (MDOF) random vibration control method are both Gaussian signal. However, the real vibration interference signal is always super-Gaussian, while sub-Gaussian random excitation is mainly used to reduce the maximum amplitude of the drive signal. To achieve MDOF sub-Gaussian and super-Gaussian vibration control, an MDOF non-Gaussian random vibration control method is proposed, which solve the coupling problem through system identification, and select special phase to generate non-Gaussian pseudo-random drive signal, and then the pseudo-random drive signal is transformed to real random non-Gaussian drive signal through time domain randomization. The sub-Gaussian and super-Gaussian experiments based on a Hexapod-based MDOF micro vibration test bed show that the response power spectral density (PSD) of response signals obtained by the proposed method are limited to ±3 dB error band of reference PSD. Compared to that in the Gaussian experiment, the drive signal in the sub-Gaussian experiment decreases by more than 20%. In the super-Gaussian experiment, the error between the kurtosis of response signal and the reference value is within 0.2. Effectiveness of the proposed method can be validated by the experiment results.
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