毕业论文英语翻译及原文.docx

毕业论文英语翻译及原文.docx

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毕业论文英语翻译及原文

ARESEARCHONDATAPROCESSINGMODELOFGPSDAM

DEFORMATIONMONITORINGNETWORK

Abstract:

ConsideringtheparticularityoftheGPSdamdeformationmonitoringnetwork,adataprocessingmodelbasedonthestationorthogonalcoordinatesystemforthree-dimensionGPSdamdeformationmonitoringnetwork,wasputforward.Also,amathematicalmodelofusingtheclusteringanalysismethodinfuzzymathematicstotesttherelativestabilityofquasi-stablepoints（ordatummarks）wassuccessfullybroughtforward.Theadjustmentmethodduringthecourseofdataprocessingwasquasi-stableadjustment.Atlast,asoftwaresystemofthree-dimensionGPSdamdeformationmonitoringnetworkwasdesignedandopenedupwiththehelpofVisualBasicLanguage.Withthreeperiodso'bservationdatafromtheGPSdeformationmonitoringnetworkofadam,anadjustmentcalculationwasdonebythesoftware.ThecalculationresultshowsthatthemathematicalmodelscanbemoresuitableforthedataprocessinginGPSdamdeformationmonitoringnetwork.

Keywords:

GPS,Damdeformationmonitoring,Quasi-stableadjustment,Clusteringanalysis1.Introduction

WGS-84coordinatesystemisgenerallyusedinGPS.Butlocalorindependentcoordinatesystemsareusuallychosenindamdeformationmonitoringnetworksfortheirsmallareas.Duringthecourseofpastdataprocessing,theadjustmentunderWGS-84coordinatesystemforindependentnetworksornetworkswithseveralfixedpointsisoftenfirstlymade.Then,thetransformationfromWGS-84coordinatesystemtolocal（orindependent）coordinatesystemsisdone.ForGPSdeformationmonitoringnetworkswithrepetitiveobservationdata,theobviouschangeofdatummarkscoordinatesunderthetwodifferentcoordinatesystemscanbebroughtbythetinydeformationofdatummarksamongdifferentperiodsofobservation.Andthegreatererrorcanbemadeduringthecoordinatetransformation.IfalocalGausscoordinatesystemischosen,theprojectiondistortionscanalsobeproducedbythetransformationitself.Forthereasonsabove,thestationorthogonalcoordinatesystemischosenasthereferencecoordinatesystemfordataprocessingofGPSdamdeformationnetworks.Andthemathematicalmodelisputforwardanddeduced.

2.Dataprocessingmodelbasedonthestationorthogonalcoordinatesystemforthree-dimensionGPSdeformationmonitoringnetworks

2.1Coordinatesystem

Thestationorthogonalcoordinatesystemisaleft-handcoordinatesystem.ItsoriginissetatoneoftheGPSmonitoringpoints.TheE（X）axispointsatthemeridianpassingtheorigin.Itisonthetangentplaneoftheorigin.Andtherightnorthistakenasforwarddirection.TheH（Z）axisisonthe

normallineofWGS-84ellipsoidatthepointandtakesoutwardasforwarddirection.TheE（Y）axisisalsoonthetangentplaneoftheoriginanduseseastforforwarddirection.

Ifthepositionvectorofthestationorthogonalcoordinatesystemorigin

rT

PoinWGS-84isexpressedaso二X0Y0Zo,accordingtothegeodeticlatitudeandIongitude（b°,L。

）'thepositionvector门inthestationorthogonalcoordinatesystemoriginofarandompointpicanbegotthroughthetranslationandrotationofitsWGS-84position

T

vectorri

「i=H（「i-ro）

（1）

Intheaboveequation,Hcanbewrittenas

-sinBoCosLo-sinBosinL。

cosBo

H=sinBocosLoo

（2）

cosBocosLocosBosinL。

sinB。

一

Ifthebaselinevectorsofthetworandompoints

piandpjinWGS-84coordinatesystemandthethestationorthogonalcoordinatesystemarewrittenas"11川''111

respectively,theexpressioncanbeeasilygainedasfollows

Artf=r/-ri=H（r-r0）-H（r-r0）=H（r'-rj

Then,therelationequationbetweenthetwobaselinevectorsisexpressed

Ar=HAr

as

TherearetwostepsintheGPSobservationdataprocessingcourse.Theyarebaselinecalculationandnetworkadjustment.ThebaselinevectorsinWGS-84canbefirstlygotusingbaselinecalculation.Secondly,thebaselinevectortransformationfromWGS-84tothestationorthogonalcoordinatesystemcanbedonewith（3）.Atlast,theadjustmentofGPSdeformationmonitoringnetworksinthestationorthogonalcoordinatesystemcanbesuccessfullyfinished.

2.2Adjustmentmethodandmathematicalmodel

Deformationmonitoringnetworksusuallyrequirehigherprecision.Andifseveralfixedpointsareadoptedfordatum,theobservationprecisioncanbegreatlyreduced,becausetheknowndataprecisioniso'ftesnlowerthantherequiredprecisionandthebeginningpoints'displacementca

makeannexeeffecttoobservationdataespeciallyduringthecourseofrepetitiveobservation.Sotheclassicaladjustmentmethod,whichhassomegivenpoints,isgenerallynotused.Butitisimportanttochoosethereferencepointswithstablephysicalstatusasdatumofdeformationmonitoringnetworks.Consideringtheabovetwocases,thequasi-stableadjustmentcanbeemployedtomakethemorestableunknowndata（thecoordinatesofrelativelystablepointsawayfromthedam）matchtheirstablevalues.Then,therearenodistortionofsurveyingresultandrelativelystabledatum.Andthegoaltomonitorthedeformationcanbereachedwell.TheadjustmentmodelofGPSrank-deficientnetworkscanbewrittenas

V=AX-L

T.,（4）

S（L）二阮pi

Withtheleastsquaremethod,thenormalequationisexpressedas

NX二W（5）

TT

whereNequalsAPAandWequalsaPL

Andtheequationcanbegotasfollows

R（N）=R（A）=rwhereAdenotestherank-deficientmatrixwhoserank-deficientnumberdis（n-r）」fSisasetofradicalofzerospaceN（A）andR（S）denotesd,theequationiswrittenas

AS=0（6）

Whentheinnerproductspaceisdefinedas（X,Y）=xtRYandR（R）>

d,undertheconstraintconditionXRX=min,thefollowingequationcanbegot

STRX=0（7）

With（5）and（7）,thesolutionequationofweightingrank-deficient

networkscanbeexpressedas

Q亠-QhRSVRQ^

IXX

WhereQrdenotes"、R*%H

.WhenRisadiagonalmatrixanditsvalueis1or0,（8）can

becomethemodelofquasi-stableadjustment.TheSmatrixcanbegiven

accordingtotheconditionAS=0.AndtheSmatrixofGPS3-dimensionaldeformationmonitoringnetworksiswrittenas

100loo1oo-

sz=0）0010……oio⑼

ooiooioo1

2.3Mathematicalmodelofcalculatingquasistablepoints'relativestabilitywithclusteringanalysisForGPSdamdeformationmonitoringnetworks,thestabilityofdatummarksmustbefirstlytestedintheobservationdataprocessing.ThoughtherelativelystableareaischosenforbuildingdatummarkswhenGPSdamdeformationmonitoringnetworksaredesigned,thedeformationofdatummarkscancomeintobeing.Evenifthequasi-stableadjustmentmethodisused,thestabilitytestneedstobemade,too.Thequasi-stablepoints（quasi-stablepointsordatummarksindesignscheme）withmarkeddeformationshouldbeeliminated.Themathematicalmodelofcalculatingquasi-stablepoints（ordatummarks）relativestabilitywithclusteringanalysisinfuzzymathematicsisputforwardtoensurethestablequasi-stablepoints（ordatummarks）inGPSobservationdataprocessing.Onecharacteristicofquasi-stableadjustmentisthatthecorrectionvalueVofobservationdataafteradjustmentisinvariable.SotheadjustedvalueLofobservationdataisalsoinvariable.Anditisshownthatthenetworkshapeafteradjustmentisunchanged.TheobservationdataofGPSnetworksadjustmentisbaselinevectors（coordinatedifferencesin3coordinateaxisdirections）.

Then,afterthequasi-stableadjustmentoftwoperiodsofobservationdata,

thedifferencesofcoordinatedifferencesoftworandomquasi-stablepointsin3coordinateaxisdirectionsbetweenthetwoperiodsare

invariable.So,thesevaluescan'tbechangedwithdifferces.cAodworkcanbefinishedonceforadotoavoidthetroubleofsomemethodscalculatingstepbystep.匸andfdenotethecoordinatedifferencesoftworandomquasi-stablepoints（iandj）aftertwoperiods'seobation

1

dataadjustment.isthediffereneeofcoordinatedifferencesbetween

（io）

twoperiods.Andequationsareasfollowsn

叭+碍

Statisticiswrittenas

=—⑴）%

1

IfthechangeoflijbetweentwoperiodsiscausedbytheaccidentalerrorofGPSobservation,itisexpressedas

心~MO,1）

Thefuzzymembershipgradeoftherelativestabilityofthetworandom

quasi-stablepoints（iandj）isdefinedas

（12）

Thatistosay,thefuzzyrelationoftherelativestabilityofquasi-stablepointsistheprobabilitydensity

valueofstandardnormaldistributionabout^.To口，itcanbedefinedas

u=0forsupplement.Itisalsoasfollows

口=于（叫）（13）

Andthefuzzyrelationofrelativestabilityofquasi-stablepointsdefinedby（12）and（13）onlysatisfies

thesymmetryofequivaleneefuzzyrelation.Thereflexivitycanbe

（14）

standardized.And「「isre-definedas

=/（0）

ThefuzzyrelationRhasmetthefirsttwoconditionsoffuzzyequivalenee

relation.ThenRisafuzzysimilarmatrix.Totransitivity,thefuzzy

similarmatrixcanbechangedtoafuzzyequivaleneematrixwiththehelpofthetransitiveclosedpackaget（R）.Andthefuzzyanalysiscanbedone.

Thesortedindexparameter入ofclusteringanalysisiscomputedwiththe

statistichypothesismethod.IfthechangeofbetweentwoperiodsiscausedbytheaccidentalerrorofGPSobservation,itisexpressedas

Forthegivenconspicuouslevela,thereisacKticaWfitHue一,

thecorrespondingvalu.canbegotfrom（14）.And「isthesorted

stability.Tab.1belowshowsthevaluesofaand入

TabJStatisticsonconspicuouslevelotandcriticalvalueA

a

5%

1%

O+27%

O]%

A

0.1465

0.0377

0.0111

0.0045

Obviouslyashouldbechangedinthepractice.Itiscon