Robustness analysis of mistuned bladed disk using the upper bound of structured singular value

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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,andfaultdiagnosisoftheaeroengine
1.probl

6、ems.ThereferencesintroducedheremainlyfocusontheTheoreticallythesectorsofthebladeddiskareidentical,andmaximumresponseamplitudesandtheworst-casemistuning.Thetherearemanyrepeatedvaluesofnaturalfrequenciesduetotheoptimizationalgorithmsusedforthemistunedbladeddisksareinherentsymmetr

7、yinthestructure.Themodeshapescorrespond-gradient-basedalgorithm
12,13,geneticalgorithm
14,15,simu-ingtothesefrequenciesareperiodicaroundthedisk.However,latedannealingalgorithm
16,andotheralgorithms
17Ð19.blademistuningisinevitableinpracticalbladeddisksduetotheNevertheless,t

8、henatureofthemistuning,couldbeconsideredsmallimperfect