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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.
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