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Title

A novel finite element model for vibration analysis of rotating tapered Timoshenko beam of equal strength
Author

Bulent Yardimoglu
Journal / Anthology

Finite Elements in Analysis and Design
Year: 2010
Volume: 46
Issue: 10
Page range: 838-842
Description

A newfiniteelementmodelbasedonthecoupleddisplacementfieldandthetaperingfunctionsofthe beam isformulatedfortransversevibrationsofrotatingTimoshenkobeamsofequalstrength.Inthe coupleddisplacementfield,thepolynomialcoefficientsoftransversedisplacementandcross-sectional rotation arecoupledthroughconsiderationofthedifferentialequationsofequilibrium.Thetapering functionsofbreadthanddepthofthebeamareobtainedfromtheprincipleofequalstrengthinthe longitudinaldirectionofthebeam.Afterfindingthedisplacementfunctionsusingthetapering functions,thestiffnessandmassmatricesareexpressedbyusingthestrainandkineticenergy equations.Asemi-symboliccomputerprograminMathematicaisdevelopedandsubsequentlyusedto evaluatethenewmodel.Theresultsoftheillustrativeexampleregardingtheproblemindicatedinthe title ofthispaperareobtainedandcomparedwiththeresultsfoundfromthemodelscreatedin ABAQUS.Verygoodagreementisfoundbetweentheresultsofnewmodelandtheotherresults.
Subject

*Unclassified