关联维数快速算法及其在机械故障诊断中的应用

庞茂;吴瑞明;谢明祥

振动与冲击 ›› 2010, Vol. 29 ›› Issue (12) : 106-109.

PDF(1586 KB)
PDF(1586 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (12) : 106-109.
论文

关联维数快速算法及其在机械故障诊断中的应用

  • 庞茂1; 吴瑞明1; 谢明祥2
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An Improved Correlation Dimension Algorithm with Application to Mechanical Fault Diagnosis

  • Pang Mao1; Wu Rui-ming; Xie1 Ming-xiang2
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摘要


基于GP算法的关联维数计算方法简单,但计算量大,无标度区间识别困难,难以实现自动化。分析关联积分计算量基础上,运用组合参数法减小关联维数计算量,并由关联积分曲线的二阶局部斜率实现无标度区间的自动识别,进而实现关联维数的自动计算, Lorenz系统实例证明了该方法的有效性。运用该方法计算不同汽车主减速器振动信号的关联维数,结果显示不同状态主减速器振动信号的关联维数具有明显的可分性,关联维数可作为判别机械产品故障特性的有效量化指标。


Abstract

The theory of correlation dimension computation based on GP is concise, but the computation burden is heavy, and scaling region recognition automatically is hard. A method to scaling region recognition and correlation dimension computation automatically based on parameter combination and second derivative of correlation integral was presented. The effectiveness of this method was verified by the analysis of Lorenz attractor. In addition, the correlation dimensions of signals in different conditions sampled in an automobile main reducer performance test bed were computed by this method. Experiment results show that correlation dimensions are dissociable between different main reducers, so correlation dimension can be used as a quantitative criterion for recognizing fault property and level, and the improved algorithm of correlation dimension can be applied to the product testing.

关键词

关联维数 / 无标度区间 / 振动 / 主减速器 / 检测

Key words

Correlation dimension / Scaling region / Vibration / Main reducer / test

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导出引用
庞茂;吴瑞明;谢明祥. 关联维数快速算法及其在机械故障诊断中的应用[J]. 振动与冲击, 2010, 29(12): 106-109
Pang Mao;Wu Rui-ming;Xie Ming-xiang. An Improved Correlation Dimension Algorithm with Application to Mechanical Fault Diagnosis[J]. Journal of Vibration and Shock, 2010, 29(12): 106-109

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