Application of the Rational Hermite Interpolation LMD Method in the Compound Fault Diagnosis Research

Cui Yanping; Lu Zhaojing; Wu Chunyu

doi:10.16578/j.issn.1004.2539.2018.08.033

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Application of the Rational Hermite Interpolation LMD Method in the Compound Fault Diagnosis Research

更新时间：2022-10-20

- Application of the Rational Hermite Interpolation LMD Method in the Compound Fault Diagnosis Research
- Vol. 42, Issue 8, Pages: 169-174(2018)
- 作者机构：
  
  1. 河北科技大学机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2018.08.033
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[1]崔彦平,鲁朝静,武春宇.有理Hermite插值的LMD方法在复合故障诊断中的应用研究[J].机械传动,2018,42(08):169-174.

Cui Yanping, Lu Zhaojing, Wu Chunyu. Application of the Rational Hermite Interpolation LMD Method in the Compound Fault Diagnosis Research. [J]. 42(8):169-174(2018)
[1]崔彦平,鲁朝静,武春宇.有理Hermite插值的LMD方法在复合故障诊断中的应用研究[J].机械传动,2018,42(08):169-174. DOI： 10.16578/j.issn.1004.2539.2018.08.033.

Cui Yanping, Lu Zhaojing, Wu Chunyu. Application of the Rational Hermite Interpolation LMD Method in the Compound Fault Diagnosis Research. [J]. 42(8):169-174(2018) DOI： 10.16578/j.issn.1004.2539.2018.08.033.

摘要

针对复合故障信号的多分量耦合调制特征及局部均值分解方法存在的包络误差现象,提出了一种基于有理分段三次Hermite插值的LMD方法,该方法通过计算"最优参数区间"确定每个小区间的最优参数,选择"最优参数区间"中的任意参数调整插值样条的形状,使插值样条无限逼近于被插值目标,提高了包络曲线的拟合精度和准确度。采用仿真数据对比的形式,验证了有理Hermite插值LMD方法的逼近能力和高拟合精度。将该方法应用到齿轮和滚动轴承复合故障信号的诊断中,再次证明了该方法的高拟合精度,实现了对复合故障信号的准确诊断。

Abstract

In view of the multi-component coupling modulation characteristics of complex fault signals and the envelope error phenomenon of the local average decomposition method,an LMD method based on rational sub-interval Hermite interpolation is proposed. Through calculating the optimal parameter interval,the optimal parameter between the cells and the parameter in the optimal parameter interval is selected to adjust the shape of the interpolation spline so that the interpolation spline is infinitely close to the target to be interpolated,thereby improving the fitting precision and accuracy of the envelope curve. The comparison of simulation data is used to verify the approximation ability and high fitting accuracy of the rational Hermite interpolation LMD method. The method is applied to the diagnosis of compound fault signals of gear and rolling bearing,and the high fitting accuracy of the method is proved again. The accurate diagnosis of compound fault signal is realized.

关键词

齿轮滚动轴承复合故障分段三次Hermite插值法有理Hermite插值法LMD

Keywords

GearRolling bearingCompound failureThree times Hermite interpolation methodRational Hermite interpolation methodLMD

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