冗余小波包改进及其在齿轮箱故障诊断中应用-论文.pdf

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1、第50卷第15期机械工程学报Vlo1．50NO．152014年8月JOURNAL0FMECHANICALENGINEERINGAug．2014DoI：l0．3901／JME．2014．15．082冗余小波包改进及其在齿轮箱故障诊断中应用木罗荣田福庆冯昌林2丁庆喜李万(1．海军工程大学兵器工程系武汉430033；2．海军装备研究院北京100161)摘要：针对小波包分解广泛存在频率折叠、频带重叠与频带错位缺陷，分析了其产生的根源，并以此提出了一种改进的冗余小波包分解算法。该算法通过交换偶数位置子带小波包分解后的两子带顺序来消除频带错位缺陷，通过引入两算子依据

2、傅里叶变换滤波原理分别从频域滤去低、高频子带理论频率范围外的频率成分来避免频带重叠缺陷。分别使用仿真信号与某直升机中减速器疲劳试验的故障数据对该算法进行了仿真验证与试验验证。分析结果表明：相对于Mallat小波包算法和通常的冗余小波包算法，改进的冗余小波包分解算法确实成功消除了频率折叠、频带重叠和频带错位等三类缺陷，因此该算法能更有效地提取淹没在强噪声和其他强干扰背景下微弱故障特征，具有一定的工程应用价值。关键词：Mallat小波包算法；冗余小波包算法；频带错位；频带重叠；包络解调中图分类号：TH113ImprovedRedundantWaveletPa

3、cketDecompositionandItsApplicationinGearboxFaultDiagnosisLUORongTIANFuqingFENGChanglinDINGQingxiLIWan(1．DepartmentofWeaponEngineering，NavalUniversityofEngineering，Wuhan430033；2．NavalAcademyofArmament，Beijing100161)Abstract：Aimedattheproblemsofthefrequencyaliasing，frequencybandove

4、rlapandderangementinwaveletpacket，thereasontocausetheproblemsisresearchedandanimproveddecompositionalgorithmofredundantwaveletpacketisproposed．Theproblemoffrequencybandderangementisovercomebyexchangingtheorderofsub—nodesoriginatedfromfathernodeswhicharesequencedinevenserialnumber

5、s，andtheproblemoffrequencybandoverlapisavoidedbyintroducingtwooperatorswhichcaneliminaterespectivelythefrequenciesoutsidethepassbandsoflowfrequencyandhighfrequencysub·band．Thesimulatedfaultsignalsandendurancetestdatasetsofahelicopterintermediategearboxarerespectivelycollectedtoce

6、rtificatetheimproveddecompositionalgorithm．Thesimulationandanalysisofthegearboxfaultdatasetshowsthat，comparedwiththeMallatwaveletpacketalgorithmandtraditionalredundantwaveletpacketalgorithm，theimprovedredundantwaveletpacketcanmoreexpedientlyandefectivelydetectsthefaultfeaturesubm

7、ergedthestronginterferencecontext，owingtotheeliminationoffrequencyaliasing，frequencybandoverlapandderangement．So，ithasmuchapplicationvalueinfaultdiagnosis．Keywords：mallatwaveletpacketalgorithm：redundantwaveletpacketalgorithm：frequencybandderangement；frequencybandoverlap；enveloped

8、emodulation中采用的小波包变换通常均利用Mallat算法实现其0前言快