偏斜非高斯随机振动信号幅值概率密度函数研究

发布时间：2019-04-15 21:10

【摘要】：偏斜非高斯振动信号幅值概率密度没有明确、简洁的解析表达式。研究概率密度的解析表达式,对于非高斯振动理论研究具有重要意义。针对以上需求,提出了一种基于高斯混合模型的概率密度函数表示方法。首先,通过时间样本序列得到偏斜非高斯振动信号前五阶矩的估计值。其次,根据平稳高斯随机过程各阶矩之间的定量关系,结合二阶高斯混合模型的数学表达式建立方程组,求解得到混合模型中每个高斯分量的均值、标准差和权重系数。然后,将每个高斯分量的参数代入高斯混合模型,得到偏斜非高斯振动信号的幅值概率密度的解析表达式。最后,将所提出的方法应用于仿真非高斯加速度信号和实测非高斯振动应力信号,充分验证了该方法的有效性和适用性。
[Abstract]:The amplitude probability density of skewed non-Gao Si vibration signal is not clear and concise analytical expression. It is of great significance to study the analytical expression of probability density for the study of non-Gao Si vibration theory. In view of the above requirements, a probability density function representation method based on Gao Si's mixed model is proposed. Firstly, the estimation of the first five moments of skewed non-Gao Si vibration signals is obtained by time sample series. Secondly, according to the quantitative relationship between the moments of the stationary Gao Si stochastic process and the mathematical expressions of the second-order Gaussian mixture model, the mean value, the standard deviation and the weight coefficient of each Gao Si component in the mixed model are solved. Then, the parameter of each Gao Si component is substituted into Gao Si mixed model, and the analytical expression of amplitude probability density of skewed non-Gao Si vibration signal is obtained. Finally, the proposed method is applied to the simulation of non-high speed signals and measured non-Gao Si vibration stress signals, and the validity and applicability of the proposed method are fully verified.
【作者单位】：国防科技大学装备综合保障技术重点实验室;国防科技大学机电工程与自动化学院;
【分类号】：TN911.7

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