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1、RobustnessAnalysisofMistunedBladedDiskUsingtheUpperJianyaoYaoe-mail:yaojianyao@sjp.buaa.edu.cnBoundofStructuredSingularJianjunWange-mail:wangjjb@263.netValueQihanLiThispaperpresentsamethodfortherobustnessanalysisofthebladeddiskwithboundedrandommistuning.Therobuststabilityandper
2、formanceareevaluatedbytheupperSchoolofJetPropulsion,boundofthestructuredsingularvalue.TherobustcontrolmodelofthebladeddiskisBeijingUniversityofAeronauticsandestablishedinvirtueoflinearfractionaltransformation.TheinfluencesofintentionalAstronautics,stiffnessmistuninginharmonicpat
3、ternsontherobustnessofthemistunedbladeddiskareBeijing100191,Chinainvestigated.Thenumericalresultsindicatethattherobustperformanceofthemistunedbladeddiskcouldbeeffectivelyenhancedbyappropriateharmonicintentionalmistuning.Theproposedmethodcanhelpusdesignabladeddisk,whichisinsensi
4、tivetodangerousrandommistuning.DOI:10.1115/1.30189421IntroductionaimedtoefÞcientlyandpreciselypredicttheworstmistuningpat-tern,whichismostdangeroustothebladeddisk,andtoobtaintheThebladeddiskisakindofcyclicsymmetrystructurewhoseoptimumarrangementofbladestoincreasetheßuttermarg
5、inanddynamiccharacteristicshavebeendeeplyinvestigated.There-todecreasethemaximalresponseamplitudessimultaneously.searchworksareimportanttothevibrationdesign,highcycleThesekindsofproblemsarealwayssolvedasoptimaldesignfatigueHCFanalysis,andfaultdiagnosisoftheaeroengine1.probl
6、ems.ThereferencesintroducedheremainlyfocusontheTheoreticallythesectorsofthebladeddiskareidentical,andmaximumresponseamplitudesandtheworst-casemistuning.Thetherearemanyrepeatedvaluesofnaturalfrequenciesduetotheoptimizationalgorithmsusedforthemistunedbladeddisksareinherentsymmetr
7、yinthestructure.Themodeshapescorrespond-gradient-basedalgorithm12,13,geneticalgorithm14,15,simu-ingtothesefrequenciesareperiodicaroundthedisk.However,latedannealingalgorithm16,andotheralgorithms17Ð19.blademistuningisinevitableinpracticalbladeddisksduetotheNevertheless,t
8、henatureofthemistuning,couldbeconsideredsmallimperfect