分段线性非对称系统在故障检测中的研究*
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中图分类号: TN9117TH7文献标识码: A国家标准学科分类代码: 51040

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*基金项目:国家自然科学基金 (61371164)、重庆市杰出青年基金(CSTC2011jjjq40002)、重庆市教育委员会科研项目(KJ130524)资助


Research on fault detection of the piecewise linear asymmetric system
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    摘要:

    摘要:随机共振具有能够提取轴承故障特征频率和将噪声能量转为信号能量的优点。针对对称分段线性模型性能不够理想的问题,提出了一种非对称分段线性随机共振系统模型,并采用遗传算法对模型参数进行优化选取。在假定模型具有两个稳态的情况下,对该模型进行了解析关系分析与输出信噪比(SNR)的公式推导。同时在模型的公式分析与数值仿真两方面与对称双稳态分段线性随机共振系统进行对比分析,证明该系统的优越性。而后将该模型应用于轴承故障检测当中,采用自适应遗传算法对系统各参数进行协同寻优,对称系统内外圈故障信号检测中故障频率处的幅度值分别为5079与1303,非对称系统为3918与1893。结果显示该模型具有优良的检测效果,证明该模型在故障检测当中具有巨大潜力。

    Abstract:

    Abstract:Stochastic resonance has the advantages of extracting bearing fault feature frequency and converting noise energy into signal energy. To solve the problem of unsatisfactory performance caused by inadequate selection of models and parameters, a model of asymmetric piecewise linear stochastic resonance system is proposed. The model is assumed to have two steady states. The analytical relationship and the output signaltonoise ratio formula of the model are derived. Meanwhile, the model is compared with the symmetric piecewise linear stochastic resonance system in terms of formula analysis and numerical simulation. The advantages of the system are proved. Then, the model is applied to bearing fault detection, and the adaptive genetic algorithm is used to optimize the parameters of the system. In the inner and outer fault detection for the symmetric system, the amplitude frequency values are 5079 and 1303, respectively. In the inner and outer fault detection for the asymmetric system, the amplitude frequency values are 3918 and 1893, respectively. Results show that the model has excellent detection effect, which proves that the model has great potential in fault detection.

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贺利芳,江川,张刚,张天骐.分段线性非对称系统在故障检测中的研究*[J].仪器仪表学报,2020,41(2):

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  • 在线发布日期: 2022-03-02
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