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1、JiangZhaoMOEKeyLaboratoryofMechanicsandControlforAerospaceStructures,NanjingUniversityofAeronauticsandAstronautics,ModalAnalysisofaRotatingThin210016Nanjing,Chinae-mail:zhaojiang@nuaa.edu.cnPlateviaAbsoluteNodal1QiangTianKeyLaboratoryofDynamicsandControlofFlightCoordinateFormulationVe
2、hicle,MinistryofEducation,SchoolofAerospaceEngineering,ModalanalysisofarotatingthinplateismadeinthispaperthroughtheuseofthethinBeijingInstituteofTechnology,plateelementsdescribedbytheabsolutenodalcoordinateformulation(ANCF).The100081Beijing,Chinaanalyticalexpressionsofelasticforcesand
3、theirJacobianmatricesofthethinplatee-mail:tianqiang_hust@yahoo.com.cnelementsarederivedandexpressedinacomputationallyefficientway.ThestaticanalysisofacantileverthinplateandthemodalanalysisofasquarethinplatewithcompletelyHaiyanHufreeboundariesaremadetovalidatethederivedformulations.Them
4、odalanalysisofaMOEKeyLaboratoryofMechanicsandControlrotatingcantileverthinplatebasedontheANCFisstudied.TheeffectofrotatingangularforAerospaceStructures,velocityonthenaturalfrequenciesisinvestigated.Theeigenvaluelociveeringandcross-NanjingUniversityofAeronauticsandingphenomenaalongwith
5、thecorrespondingmodeshapevariationsareobservedandAstronautics,carefullydiscussed.Finally,theeffectsofdimensionalparametersonthedimensionless210016Nanjing,China;naturalfrequenciesofthethinplatearestudied.DOI:10.1115/1.4003975KeyLaboratoryofDynamicsandControlofFlightKeywords:absoluten
6、odalcoordinateformulation(ANCF),rotatingthinplate,modalVehicle,characteristics,eigenvaluelociveering,eigenvaluelocicrossingMinistryofEducation,SchoolofAerospaceEngineering,BeijingInstituteofTechnology,100081Beijing,Chinae-mail:hhyae@nuaa.edu.cn1Introductionstructures,suchassolarpanels
7、andsolarsailsofsatellites4,5.ByusingthestretchdeformationtermsinsteadoftheconventionalModernengineeringhaswitnessedmoreandmorerotatingaxialdeformationterms,Yooetal.6Ð9derivedasetoflinear-components,suchasturbineblades,aircraftrotarywings,andizeddynamicequationsforanalyzingthefreev
8、ibrat
