The governing non-linear equations of motion and the appropriate boundary conditions are derived by means of the variational method in conjunction with Hamilton's Principle.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this study, free vibration analysis of rotating adhesively bonded specially orthotropic plates is investigated.
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Temel Bulgular & Veri:A first-order shear-deformation plate theory including geometric nonlinearities in the form of the von Karman strains and the effects of rotatory inertia and Coriolis is used to predict the free vibration frequencies and mode shapes of the system under consideration.
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Sonuç & Katkı:The governing non-linear equations of motion and the appropriate boundary conditions are derived by means of the variational method in conjunction with Hamilton's Principle.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
In this study, free vibration analysis of rotating adhesively bonded specially orthotropic plates is investigated. A first-order shear-deformation plate theory including geometric nonlinearities in the form of the von Karman strains and the effects of rotatory inertia and Coriolis is used to predict the free vibration frequencies and mode shapes of the system under consideration. In the analytical model, the thin interlaminar adhesive layer is taken into account in the form of mechanical springs. The governing non-linear equations of motion and the appropriate boundary conditions are derived by means of the variational method in conjunction with Hamilton's Principle.
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Bu Makaleye Atıf Yap
YAVUZ, A. K., KOTİL, T. (1996). Free vibrations of rotating adhesively bonded orthotropic plates. Mathematical and Computational Applications, Cilt: 1 - Sayı: 1, 140–146. https://ajindex.com/articles/280271
D. H. Hodges,"Reviewof CompositeRotorBladeModelling",AIAAJournal,Vol.28, No.3,p. 561-565,1990. [2]ALeissa,"VibrationalAspectsof RotatingTurbomachineryBlades",AppliedMechanicsReviews,Vol.34, No.5,p. 629-635,1981. [3] R Bhumbla,J. B. Kosmatkaand1. N. Reddy,"FreeVibrationBehaviorof SpinningShearDeformablePlatesComposedof CompositeMaterials",AIAAJournal,Vol.28, No.11, pp.1962-1970,November1990. [4] M. A DokainishandS. Rawtani,"VibrationAnalysisof RotatingCantileverPlates",Int.Journalfor NumericalMethodsin Engineering,Vol.3, No.2,pp. 233-248,1971. [5] V. RamamurtiandR Kielb,"NaturalFrequenciesof TwistedRotatingPlates",Journalof SoundandVibration,Vol.97, No.3,p. 429-449,1984. [6] J. T. Wang,D.ShawandO. Mahrenholtz,"Vibrationof RotatingRectangularPlates",Journalof SoundandVibration,Vol.112,No.3,p. 455-468,1987. [7] D. Shaw,K. Y. Shenand1. T. Wang,"FlexuralVibrationof RotatingRectangularPlatesof variableThickness",Journalof SoundandVibration,Vol.126,No.3,p. 373-385,1988. [8] F. ErdoganandM.Ratwani,"StressDistributionin BondedJoints",JournalofCompositeMaterials,Vol.5, p. 378-,1971. [9] U. YuceogluandD. P. Updike,"StressAnalysisof BondedPlatesandJoints",Proceedingsof ASCE,Vol.106,p. 37-,1980. [10] F. Toghi,"FreeBendingVibrationsof AdhesivelyBondedOrthotropicPlates",YiiksekLisansTezi,OrtaDoguTeknikUniversitesi,1992. [11] A Yavuz,"FreeVibrationAnalysisof Multi-layerAdhesivelyBondedRotatingBeams",YiiksekLisansTezi,OrtaDoguTeknikUniversitesi,1992. [12] U. Yuceoglu,O. TekinalpandA Yavuz,"NaturalVibrationsandtheOrthogonalityConditionin RotatingCompositeMulti-layerBeamsandBlades",Proceedingsof the22ndMidwesternMechanicsConference(at the Universityof Missouri-Rolla,Rolla,U.S. A),pp. 308-309,Oct.1991. [13] U. Yuceoglu,O. TekinalpandAYavuz,"NaturalVibrationCharacteristicsofRotating,CompositeMulti-layerBeamsandBlades",ProceedingsoftheFifthInternationalConferenceon RecentAdvancesin StructuralDynamics,UniversityofSouthampton,Southampton,England,Vol.1, pp. 504-514,18-21July1994. [14] U. Y-uceoglu,O. TekinalpandA Yavuz,"FreeVibrationsof Rotating,AdhesivelyBondedBeams",InternationalSymposiumon Materialsfor NoiseandVibrationControl,InternationalMechanicalEngineeringCongressandExposition,1994ASMEWinterAnnualMeeting,Chicago,lL, U. S. A, November6-11,1994