Data-based model free hysteresis identification for a nonlinear structure

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1、Data-basedmodelfreehysteresisidentificationf0ranonlinearstructureXuBin，HeJia，ZhouRen，MasriF．Sami(1．CollegeofCivilEngineering，HunanUniversity，Changsha410082，China；2．KeyLaboratoryofBuildingSafetyandEnergyEficiency(HunanUniversity)，MinistryofEducation，Changsha410082，China；3．Departme

2、ntofCivilEngineering，UniversityofSouthernCalifornia，LosAngelesCA90089，USA)Abstract：Inthelasttwodecades，thedamagedetectionforcivilengineeringstructureshasbeenwidelytreatedasamo—dalanalysisproblemandmostofthecurrentlyavailablevibration—basedsystemidentificationapproachesarebasedonm

3、odalparameters，namelythenaturalfrequencies，modeshapesanddampingratios，and／ortheirderivations，whichalesuitableforlinearsystems．Nonlinearityisgenericinengineeringstructures．Forexample，theinitiationanddevel—opmentofcracksincivilengineeringstructuresastypicalstructuraldamagesarenonli

4、nearprocess．Oneofthemajorchallengesindamagedetection，earlywarninganddamageprognosisistoobtainreasonablyaccurateidentificationofnonlinearperformancesuchashysteresiswhichisthedirectindicatorofdamageinitiationanddevelopmentunderdy-namicexcitations．Inthisstudy，ageneraldata—basedident

5、ificationapproachforhystereticperformanceinformofnon-linearrestoringforceusingstructuraldynamicresponsesandcompleteandincompleteexcitationmeasurementtimeserieswasproposedandvalidatedwitha4-storyframestructureequippedwithsmartdevicesofmagneto—rheological(MR)dampertosimulatenonline

6、arperformance．Firstly，asanoptimizationmethod，theleast—squarestechniquewasem—ployedtoidentifythesystemmatricesofanequivalentlinearsystemofthenonlinearstructuremodelbasingontheexci-tationforceandthecorrespondingvibrationmeasurementswithimpacttestwhencompleteandincompleteexcitations

7、；andsecondly，thenonlinearrestoringforceofthestructurewasidentifiedandcomparedwiththetestmeasurementsfi—nally．Resultsshowthattheproposeddata—basedapproachiscapableofidentifyingthenonlinearbehaviorofen~neeringstructuresandcanbeemployedtoevaluatethedamageinitiationanddevelopmentofdi

8、ferentstructureunderdynamicloads．Kwords：