Study of young modulus change effect on resonance frequency and mode shape of magnetostrictive Terfenol-D transducer

Transcription

1 mme.modares.ac.ir * -2-3 yhojjat@modares.ac.ir45-43 * : : : Studyofyoungmoduluschangeeffectonresonancefrequencyandmode shapeofmagnetostrictiveterfenol-dtransducer YousefHojjat * MohammadRezaSheykholeslami MojtabaGhodsi 2 HesamSadeghian -DepartmentofMechanicalEngineering,TarbiatModaresUniversity,Tehran,Iran. 2-DepartmentofMechanicalandindustrialEngineering,SultanQaboosUniversity,Oman. P.O.B.45-43Tehran,yhojjat@modares.ac.ir ARTICLEINFORMATION ABSTRACT OriginalResearchPaper Received4June25 AcceptedJuly25 AvailableOnline5August25 Keywords: Magnetostriction YoungModulusChangeEffect ResonanceFrequency ModeShape..[2] In giant magnetostrictive transducer, Young modulus of the core considerably alters with changingitsmagneticlevel.youngmoduluschangeinterfenol-dcorehasthehighestvalue.this effect changes the resonance frequency and mode shapes of the transducer. This subject in Terfenol-Dresonancetransducerisstudiedinthispaper.Forthispurpose,resonanceTerfenol- transducerhasbeendesignedandfabricated.nodelocationsinthetransducerareconsidered to add pre-load and bias mechanisms. Effect of Young modulus change on resonance frequency andmodeshapewerestudiedbothanalyticallyandbyansysfemsoftware.rangeofresonance frequencychangeintheirstmodeishzandinthesecondmodeishz.modeshapes changes are limited for both modes. In 4kA/m magnetic field bias, results from analytical and FEMsimulationwereveriiedwithexperimentalresults.Resonancefrequencyinthisbiasis3 Hzfortheirstmodeand8252Hzforthesecondmode.Resultshaveacceptableagreementwith experimental results. Moreover, in this bias magnetic field, impedanceresponsesbetween first and second modes are compared. Results show that selecting second mode is preferable for reducingdisturbanceofyoungmoduluschangeonvibrationalbehavior.. -.[]. Pleasecitethisarticleusing: : Y.Hojjat,M.R.Sheykholeslami,M.Ghodsi,H.Sadeghian, StudyofyoungmoduluschangeeffectonresonancefrequencyandmodeshapeofmagnetostrictiveTerfenol-D transducer,modaresmechanicalengineeringvol.5no.9,pp ,25(inpersian)

2 [9]..[2-] 4 / [3] ( (.. 5.[3]. -.[4] [5] 6. [7] -.[8]. () Effect

3 -. (6) (4) = ( ) = ( ) (6) = (4) (5) (7) = (7) (7) (8) = = = cos = sin cos sin = = = cos = sin cos sin = = =cos = sin cos sin = = = cos = sin cos sin = = sin cos, =, = ). ( 9) (7 (9). (8) = (9) (7) /34 -.[4] [4] ().[5] d () d + d d d d + = () 3 (2) () d + = d (3 (2 = cos + sin. (2) ( 3) (3)

4 - ).5 E=25GPa. E=45GPa.5 E=65GPa ) [6] /2. /6 E=25GPa.5 E=45GPa E=65GPa ) 5 ) ).4.6 ) ( 4 ) E=25GPa E=45GPa E=65GPa -Solid95 258

5 E=25GPa E=45GPa E=65GPa - ) ( ( ( 7 ) / / E=25GPa E=45GPa E=65GPa ) E=25GPa E=45GPa E=65GPa ) 6 ) (Hz) (Hz) (GPa) (GPa) 9.5 ) E=25GPa E=45GPa E=65GPa )

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