美国国际学术会议PPT

1ASCEEarthandSpaceConference,2016Reporter：Institution:Date:3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponentOutline1Introduction2TheEstablishmentofthe3DGeospatialFunctionmonitoringmodel3TheSolutionofthe3DGeospatialFunctionmonitoringmodel4CaseStudy3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponent3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponentPart1Introduction1IntroductionThemonitoringmodelofarcdamdeformationbasedonmonitoringdataprovidesbasisfortheevaluationofarcdamsafety.Inthetraditionalmonitoringmodelofarcdamdeformation,waterlevelcomponent,temperaturecomponent,andtimelinescomponentareusedtoreflectarcdamdeformationasfollows:Whereisthewaterlevelcomponent,isthetemperaturecomponent,andisthetimelinescomponent.=+(1)HTHT3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponent1IntroductionThewaterlevelcomponent:Whereisthecoefficientofwaterlevelandisthewaterlevel.Thetimelinesscomponent:Whereandaretheregressioncoefficientsandisthetimefactorfromthestartingdaytotheanalyzingday41=(2)iHiiaHiaH12ln(3)cc1c2c1Introduction3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponent1Introduction3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponentForthetemperaturecomponent,ithastwotypes:(1)Sincethetemperaturechangeinarcdamlagsbehindtheenvironmentaltemperature,andthetemperaturecomponenthasthelinearrelationshipwiththetemperatureofconcrete.Thelinearcombinationofmultipreviousaveragetemperatureisusedtoshowthetemperaturecomponentasfollows:Whereistheregressioncoefficientandistheaveragetemperatureinthepreviousdays.Forarcdams,i=1，2，3，4.(2)Consideringthattheinnertemperatureofarcdamshowsthesimpleharmonicmotionwiththeenvironmentaltemperatureandlagsbehindwiththeenvironmentaltemperature,andthetemperaturecomponenthasthelinearrelationshipwiththetemperatureofconcrete.Thetemperaturecomponentisexpressedasthelinearcombinationofharmonicfunctionwithdifferentperiods:Whereandaretheregressioncoefficients,andisthetimefromthestarteddaytotheanalyzingday,oftenequalsto2.11121(,,,)(4)mTiiiibTiiimibiT212122sincos(5)365365mTiiiititbb1ib2ibt1Introduction3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponentTherefore,thetraditionalmonitoringmodelofarcdamdeformationisgivenasfollows:orHowever,theyaredifficulttodepictthedeformationofarcdamcausedbytemperaturevariationcomprehensively.Forexample,thelinearexpansioncoefficientofconcretewhenthetemperatureisaround0℃isnotfixedanditincreasesobviouslywhentheconcreteisinthefrozenstate,whichisdifficulttobedepictedbythelinearcombination.Besides,onlytheinfluenceoftheenvironmentaltemperatureandwateronthetemperaturecomponentisconsidered,andtheinfluenceofthewaterlevelonthetemperatureisnotconsidered.However,thetemperaturecomponentinducedbydifferentwaterlevelsaredifferent,andtheaverageairtemperatureorharmonicfunctionscannotbeusedtodepictthespecialchangingprocesswhenthewaterlevelincreasesfromthelowesttothenormalwaterlevel.Therefore,itisofgreatsignificancetoimprovethetemperaturecomponent.1Introduction3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponent114121=lnmiiiiiiiaHbTcc2412121122=sincosln365365miiiiiiititaHbbccPart2TheEstablishmentofthe3DGeospatialFunctionmodel3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponentAimingtotheunder-fittingproblemandthelinearformoftemperaturecomponentintraditionalmonitoringmodelmentionedabove,Integralconceptisusedtoimprovethetemperaturecomponent:WhereAisconstant,isthecoefficientoftemperaturecomponent.Andweexpanditaccordingtobivariatepolynomialasfollows:Threetypesofcomponentsforareusedtoreflectthedistributionoftemperaturecomponentintimeandspace,inwhichharmonicfunctionandlinearfunctionoftimeandlinearfunctionofreservoirwaterlevelHareincluded.Theharmonicfunction,thelinearfunctionoftimeandthelinearfunctionofreservoirwaterlevelreflecttheannualcyclechangeruleofwatertemperatureonairtemperature,continuouschangelawofwatertemperaturewiththechangeoftimeandthespatialdistributionofairtemperatureandwatertemperatureinthedambodyfoundation.0()()(6)TiitAbtTtd11()(7)lmijTijijbftT()ibt()ft2TheEstablishmentof3DGeospatialFunctionModel3DGeospatialFunctionMonitoringModelofArcDamDeformationBasedontheImprovementofTemperatureComponentAfterthesubstitutionofthethreefunctionsintoequation(2),thefollowingequationisobtained:Whereisconstant,-arecoefficientsofpolynomials,isthechangedtemperaturerelativetothestartedmonitoringday,istheupwaterdepth,,,andarethenumbersofinfluencingfactorswhichareoftenchosen2-3.Thenspacevectorsisadoptedtoestablishthe3Dgeospatialfunctionmonitoringmodel,inwhichthedeformationofdamisthefunctionofloadsetandspacecoordinates:Whereisthereservoirwa