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1、第37卷第12期2016年12月儀器儀表學(xué)報(bào)ChineseJournalofScientificInstrumentV01.37No.12Dee.2016基于AR模型.分形維的磁流變減振器性能研究陳慶堂1,宋一然1,黃宜堅(jiān)2(1.莆田學(xué)院機(jī)電工程學(xué)院莆田351100;2.華僑大學(xué)機(jī)電及自動(dòng)化學(xué)院廈門(mén)361021)摘要:建立了磁流變減振器的動(dòng)力學(xué)方程,利用與其同階的時(shí)間序列AR模型的對(duì)應(yīng)關(guān)系,推導(dǎo)出基于時(shí)間序列的動(dòng)態(tài)特性參數(shù)計(jì)算公式,在不同工況下振動(dòng)實(shí)驗(yàn)檢測(cè)獲得時(shí)間序列,計(jì)算了動(dòng)態(tài)特性參數(shù)、時(shí)間序列分形盒維數(shù)和系統(tǒng)特征根實(shí)部,以及這些參數(shù)間的相關(guān)系數(shù),擬合了動(dòng)態(tài)特性參數(shù)
2、、分形盒維數(shù)、工況參數(shù)三者相互間的關(guān)系曲線(xiàn),分析了磁流變減振器性能變化。分析結(jié)果表明,AR(2)模型對(duì)減振器振動(dòng)信號(hào)有較高的模擬精度,基于時(shí)間序列AR模型的動(dòng)態(tài)特性參數(shù)求解方法便捷有效;時(shí)間序列盒維數(shù)與動(dòng)態(tài)特性參數(shù)間存在高度相關(guān),可作為量化衡量系統(tǒng)振動(dòng)平穩(wěn)性和響應(yīng)快速性綜合動(dòng)態(tài)特性的參數(shù),可配合特征根選取磁流變減振器的最佳工況。關(guān)鍵詞:磁流變減振器;時(shí)間序列;盒維數(shù);動(dòng)態(tài)特性中圖分類(lèi)號(hào):TB381THl37.52文獻(xiàn)標(biāo)識(shí)碼:A國(guó)家標(biāo)準(zhǔn)學(xué)科分類(lèi)代碼:460CharacteristicresearchofMRdamperbasedonARmodel-fractaldime
3、nsionChenQingtan91,SongYiranl,HuangYijian2(』.CollegeofMechanicalEngineeringandElectrical,PutianUniversity,Putian351100,China;2.CollegeofMechanicalEngineeringandAutomation,HuaqiaoUniversity,Xiamen361021,China)Abstract:Dynamicequationofmagnetorheological(MR)damperisestablished,inwhichthec
4、alculationformulasofthedynamiccharacteristicparametersarederivedaccordingtothecorrespondingrelationshipsbetweendynamicmodelandtimeseriesARmodelwiththesameorder.Timeseriesareobtainedthroughvibrationtestingunderthedifferentconditions,andthedynamiccharacteristicsparameters,boxdimensionofti
5、meseries,andrealpartofthecharacteristicrootarecalculated,aswellasthecorrelationcoefficientsamongtheseparameters.TherelationCHIVESforthedynamiccharacteristicsparameters,boxdimensionoftimeseriesandrealpartofthecharacteristicrootarefitted.Moreover,theperformancetrendofMRdamperisanalyzed.Th
6、eanalysisresultsindicatethatAR(2)modelcanachievehighsimulationprecisionforMRdampervibrationsignal.ThecaeulationofdynamiccharacteristicparameterbasedontimeseriesARmodelisflexibleandeffective.Duetothattheboxdimensionoftimeseriesishighlycorrelatedtodynamiccharacteristicparameters,itcanbeus
7、edasthequantitativeindicatortomeasurethesystemvibrationstabilityandrapidresponse.Asareusuh,itcanbeutilizedforselectingthebestoperatingconditionofMRdampercombinedwiththecharacteristicroots.Keywords:magnetorheological(MR)damper;timeseries;boxdimension;dynamiccharacteristics1引言磁流變