Non-Gaussian random vibration tests have received increasing attention in the field of dynamic environmental testing. This paper presents a kurtosis and crest factor simultaneous control strategy for producing the preset stationary non-Gaussian random vibration environment. A novel generation method of non-Gaussian random vibration signal is proposed, which is composed of the shock and random signal components. The advantage of the method is that the kurtosis and crest factor of the signal can be controlled simultaneously and thus it can simulate more real non-Gaussian random vibrations. The first four statistical properties of the proposed non-Gaussian random signal are formulated. Subsequently, a closed-loop control procedure for the non-Gaussian random vibration test by kurtosis and crest factor control is elaborated. The monotonicity analyses of two crucial parameters on the kurtosis and crest factor control are discussed. Finally, a two-degree-of-freedom vibration simulation and a cantilever beam non-Gaussian vibration test are provided, and the results indicate the feasibility and validity of the presented control strategy.

中文翻译：

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非高斯随机振动试验峰度与波峰因数同时控制


非高斯随机振动试验在动态环境试验领域受到越来越多的关注。本文提出了一种峰度和波峰因数同时控制策略，用于产生预设的平稳非高斯随机振动环境。提出了一种由冲击和随机信号分量组成的非高斯随机振动信号的新生成方法。该方法的优点是可以同时控制信号的峰度和波峰因数，从而可以模拟更真实的非高斯随机振动。公式化了所提出的非高斯随机信号的前四个统计特性。随后，详细阐述了通过峰度和波峰因数控制进行非高斯随机振动测试的闭环控制程序。讨论了峰度和波峰因数控制的两个关键参数的单调性分析。最后进行了二自由度振动仿真和悬臂梁非高斯振动试验，结果表明了该控制策略的可行性和有效性。