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1、Studyonnonlinearanalysisofahighlyredundantcable-stayedbridge1．AbstractAcomparisononnonlinearanalysisofahighlyredundantcable-stayedbridgeisperformedinthestudy.Theinitialshapesincludinggeometryandprestressdistributionofthebridgearedeterminedbyusingatwo-lo
2、opiterationmethod,i.e.,anequilibriumiterationloopandashapeiterationloop.Fortheinitialshapeanalysisalinearandanonlinearcomputationprocedurearesetup.Intheformerallnonlinearitiesofcable-stayedbridgesaredisregarded,andtheshapeiterationiscarriedoutwithoutcon
3、sideringequilibrium.Inthelatterallnonlinearitiesofthebridgesaretakenintoconsiderationandboththeequilibriumandtheshapeiterationarecarriedout.Basedontheconvergentinitialshapesdeterminedbythedifferentprocedures,thenaturalfrequenciesandvibrationmodesarethen
4、examinedindetails.Numericalresultsshowthataconvergentinitialshapecanbefoundrapidlybythetwo-loopiterationmethod,areasonableinitialshapecanbedeterminedbyusingthelinearcomputationprocedure,andalotofcomputationeffortscanthusbesaved.Thereareonlysmalldifferen
5、cesingeometryandprestressdistributionbetweentheresultsdeterminedbylinearandnonlinearcomputationprocedures.However,fortheanalysisofnaturalfrequencyandvibrationmodes,significantdifferencesinthefundamentalfrequenciesandvibrationmodeswilloccur,andthenonline
6、aritiesofthecable-stayedbridgeresponseappearonlyinthemodesdeterminedonbasisoftheinitialshapefoundbythenonlinearcomputation.2.Nonlinearanalysis2.1.InitialshapeanalysisTheinitialshapeofacable-stayedbridgeprovidesthegeometricconfigurationaswellastheprestre
7、ssdistributionofthebridgeunderactionofdeadloadsofgirdersandtowersandunderpretensionforceininclinedcablestays.Therelationsfortheequilibriumconditions,thespecifiedboundaryconditions,andtherequirementsofarchitecturaldesignshouldbesatisfied.Forshapefindingc
8、omputations,onlythedeadloadofgirdersandtowersistakenintoaccount,andthedeadloadofcablesisneglected,butcablesagnonlinearityisincluded.Thecomputationforshapefindingisperformedbyusingthetwo-loopiterationmethod,i.e.,equilibriumiterati
