A novel finite element model for vibration analysis of rotating tapered Timoshenko beam of equal strength -- from Wolfram Library Archive

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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:

Issue:

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

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