Archivio Istituzionale della RicercaThis paperevaluatesthevibrationcharacteristicsofvariousrotatingstructures.Thepre- sent methodologyexploitstheone-dimensionalCarreraUnified Formulation(1DCUF), whichenablesonetogobeyondthekinematicassumptionsofclassicalbeamtheories. Accordingtothecomponent-wise(CW)approach,Lagrange-likepolynomialexpansions (LE) arehereadoptedtodeveloptherefined displacementtheories.TheLEelementsmake it possibletomodeleachstructuralcomponentoftherotorwithanarbitrarydegreeof accuracy usingeitherdifferentdisplacementtheoriesorlocalizedmeshrefinements. Hamilton'sPrincipleisusedtoderivethegoverningequations,whicharesolvedbythe Finite ElementMethod.TheCUFone-dimensionaltheoryincludesalltheeffectsdueto rotation,namelytheCoriolisterm,spinsofteningandgeometricalstiffening.The numericalsimulationshavebeenperformedconsideringathinring,discsandbladed- deformableshafts.Theeffectsofthenumberandthepositionofthebladesonthe dynamicstabilityoftherotorhavebeenevaluated.Theresultshavebeencompared,when possible,withthe2Dand3Dsolutionsthatareavailableintheliterature.CUFmodels appearverypracticaltoinvestigatethedynamicsofcomplexrotatingstructuressince they provide2Dandquasi-3Dresults,whilepreservingthecomputationaleffectivenessof one-dimensionalsolutions.
A refined one-dimensional rotordynamics model with three-dimensional capabilities / Carrera, Erasmo; Filippi, Matteo. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 1095-8568. - STAMPA. - 366:(2016), pp. 343-356. [10.1016/j.jsv.2015.12.036]
A refined one-dimensional rotordynamics model with three-dimensional capabilities
CARRERA, Erasmo;FILIPPI, MATTEO
2016
Abstract
This paperevaluatesthevibrationcharacteristicsofvariousrotatingstructures.Thepre- sent methodologyexploitstheone-dimensionalCarreraUnified Formulation(1DCUF), whichenablesonetogobeyondthekinematicassumptionsofclassicalbeamtheories. Accordingtothecomponent-wise(CW)approach,Lagrange-likepolynomialexpansions (LE) arehereadoptedtodeveloptherefined displacementtheories.TheLEelementsmake it possibletomodeleachstructuralcomponentoftherotorwithanarbitrarydegreeof accuracy usingeitherdifferentdisplacementtheoriesorlocalizedmeshrefinements. Hamilton'sPrincipleisusedtoderivethegoverningequations,whicharesolvedbythe Finite ElementMethod.TheCUFone-dimensionaltheoryincludesalltheeffectsdueto rotation,namelytheCoriolisterm,spinsofteningandgeometricalstiffening.The numericalsimulationshavebeenperformedconsideringathinring,discsandbladed- deformableshafts.Theeffectsofthenumberandthepositionofthebladesonthe dynamicstabilityoftherotorhavebeenevaluated.Theresultshavebeencompared,when possible,withthe2Dand3Dsolutionsthatareavailableintheliterature.CUFmodels appearverypracticaltoinvestigatethedynamicsofcomplexrotatingstructuressince they provide2Dandquasi-3Dresults,whilepreservingthecomputationaleffectivenessof one-dimensionalsolutions.
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https://hdl.handle.net/11583/2657267
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