In thispaper,aparameterbasedongeometrychangesofthereconstructedmulti-dimensionalphasespaceofthemeasuredvibrationsignalsforstructuraldamageidentificationisproposed.Thechoiceoftheproperdelaytimestepsandembeddingdimensionsforphasespacereconstructionoflinearsystemsisdiscussed.Usingthedetermineddelaytimeandembeddingdimensions,anindexChangesofPhaseSpaceTopology(CPST)withmultipleembeddingdimensionsiscalculatedandthenusedtoidentifythestructuraldamage.Todemonstratethereliabilityoftheproposedmethod,vibrationtestdatacorrespondingtodifferentdamagestatesofacontinuousreinforcedconcreteslabisusedtocalculatetheCPSTvaluefordamageidentification.Theresultsindicatethatexceptthemeasurementpointsatstructuralsupports,theCPSTvaluesatall themeasurementpointsonthestructureincreasewithstructuraldamagelevelirrespectiveofthedamagelocation,indicatingthatusingasingleoraminimumnumberofmeasurementpointsandtheirCPSTvaluecaneffectivelyidentifydamageexistenceinthestructure.Thetraditionalmodal-basedindicesarealsocalculatedusingthe samevibrationdataforcomparison.ItisfoundthattheproposedmethodwithCPSTis themostsensitivetostructuraldamagethananymodal-basedindex.TheresultsdemonstratethattheproposedmethodwithCPSTvalueisveryeffectiveinidentifyingdamageexistenceinthestructure.Althoughitcannotquantifythedamage,itcanbeagood candidateforcontinuousstructuralhealthmonitoringbecauseitneedsonlyafewsensorstodetectdamageexistenceintheentirestructure
In thispaper,aparameterbasedongeometrychangesofthereconstructedmulti-dimensionalphasespaceofthemeasuredvibrationsignalsforstructuraldamageidentificationisproposed.Thechoiceoftheproperdelaytimestepsandembeddingdimensionsforphasespacereconstructionoflinearsystemsisdiscussed.Usingthedetermineddelaytimeandembeddingdimensions,anindexChangesofPhaseSpaceTopology(CPST)withmultipleembeddingdimensionsiscalculatedandthenusedtoidentifythestructuraldamage.Todemonstratethereliabilityoftheproposedmethod,vibrationtestdatacorrespondingtodifferentdamagestatesofacontinuousreinforcedconcreteslabisusedtocalculatetheCPSTvaluefordamageidentification.Theresultsindicatethatexceptthemeasurementpointsatstructuralsupports,theCPSTvaluesatall themeasurementpointsonthestructureincreasewithstructuraldamagelevelirrespectiveofthedamagelocation,indicatingthatusingasingleoraminimumnumberofmeasurementpointsandtheirCPSTvaluecaneffectivelyidentifydamageexistenceinthestructure.Thetraditionalmodal-basedindicesarealsocalculatedusingthe samevibrationdataforcomparison.ItisfoundthattheproposedmethodwithCPSTis themostsensitivetostructuraldamagethananymodal-basedindex.TheresultsdemonstratethattheproposedmethodwithCPSTvalueisveryeffectiveinidentifyingdamageexistenceinthestructure.Althoughitcannotquantifythedamage,itcanbeagood candidateforcontinuousstructuralhealthmonitoringbecauseitneedsonlyafewsensorstodetectdamageexistenceintheentirestructure