压电陶瓷参数数据的转换原理及ANSYS分析时其输入方法

1ANSYSANSYSANSYSANSYSANSYSANSYSTM2820BaTiO31955PZTPZTBaTiO3[1]USM[2]ANSYSANSYSANSYSPZTANSYS9.01ANSYS**ANSYSANSYSCADPro/Engineer,NASTRANAutoCADCADANSYSANSYS0=+mmKM&&MK2ANSYSANSYS2TSDEPZT{}{}[]{}ESsTdE⎡⎤=+⎣⎦1{}[]{}{}tTDdTE⎡⎤=+ε⎣⎦2=6x,y,z,yz,xz,xy=6x,y,z,yz,xz,xy=x,y,z=x,y,z[sE]==[d]t=[εT]=ANSYS{}{}[]{}ETcSeE⎡⎤=-⎣⎦3{}[]{}{}tsDeSE⎡⎤=+ε⎣⎦4[cE][e][e]t[εS]12ANSYS341{}{}[]{}ESsTdE⎡⎤=+⎣⎦5{}{}[]{}EsTSdE⎡⎤=-⎣⎦6{}{}[]{}11EETsSsdE--⎡⎤⎡⎤=-⎣⎦⎣⎦7272{}[]{}{}tTDdTE⎡⎤=+ε⎣⎦8{}[]{}[]{}(){}11tEETDdsSsdEE--⎡⎤⎡⎤⎡⎤=-+ε⎣⎦⎣⎦⎣⎦9{}[]{}[][](){}11ttETEDdsSdsdE--⎡⎤⎡⎤⎡⎤=+ε-⎣⎦⎣⎦⎣⎦1071034ANSYS1EEcs-⎡⎤⎡⎤=⎣⎦⎣⎦11[][]1tsTEdsd-⎡⎤⎡⎤⎡⎤ε=ε-⎣⎦⎣⎦⎣⎦12[][][]11ttEEesdds--⎡⎤⎡⎤⎡⎤==⎣⎦⎣⎦⎢⎥⎣⎦1311~13x,y,z,yz,xz,xyANSYSx,y,z,xy,yz,xz-MPEX,NUXY,GXYTB,ANELANSYS9.0TBTBOPTZ-3-ANSYS1EEsc-⎡⎤⎡⎤=⎣⎦⎣⎦1112131211131131333664444000000000000000000000000EEEEEEEEEEEEEEccccccccccsccc-⎛⎞⎜⎟⎜⎟⎜⎟⎡⎤⎡⎤===⎜⎟⎣⎦⎣⎦⎜⎟⎜⎟⎜⎟⎜⎟⎝⎠3c66Ec66E=(c11E-c22E)/21EEcs-⎡⎤⎡⎤=⎣⎦⎣⎦EcTB,ANEL/TB,ANELTBOPT1ce11~ce66TB,ANEL,1,1,,0!#1TBOPT=0,TBDATA,1,ce11,ce12,ce13!1TBDATA,7,ce11,ce13!2TBDATA,12,ce33!3TBDATA,16,ce66TBDATA,19,ce44TBDATA,21,ce44TB,ANELMPZ-3-ANSYS[]111///0001//0001/0001/001/01/xxyyxzzyyzzzEExyyzxzEEEEEEDscGGG---ν-ν⎛⎞⎜⎟-ν⎜⎟⎜⎟⎡⎤⎡⎤===⎜⎟⎣⎦⎣⎦⎜⎟⎜⎟⎜⎟⎜⎟⎝⎠MPMP,EX,1,1/se11!#1MP,EY,1,1/se11MP,EZ,1,1/se33MP,NUXY,1,-se12/se11minorPoisson’sratioMP,NUYZ,1,-se13/se33MP,NUXZ,1,-se13/se33MP,GXY,1,1/se66!MP,GYZ,1,1/se44MP,GXZ,1,1/se44se[d],ANSYS[e]13[e][d][][][]11ttEEesdds--⎡⎤⎡⎤⎡⎤==⎣⎦⎣⎦⎢⎥⎣⎦Z3231dd=2415dd=[]15153131330000000000000tdddddd⎛⎞⎜⎟=⎜⎟⎜⎟⎝⎠1EEsc-⎡⎤⎡⎤=⎣⎦⎣⎦[e](4,5,6)[][]313113315150000000000000ttEeeeedsee-⎛⎞⎜⎟⎜⎟⎜⎟⎡⎤⎡⎤==⎜⎟⎣⎦⎢⎥⎣⎦⎜⎟⎜⎟⎜⎟⎜⎟⎝⎠ANSYSTB,PIEZ,1!Material#1piezomatrixTBDATA,3,e31!1TBDATA,6,e31!2TBDATA,9,e33!3TBDATA,14,e15!5TBDATA,16,e15!6e12[][]1tsTEdsd-ε=ε-⎡⎤⎡⎤⎡⎤⎣⎦⎣⎦⎣⎦1211Sε33Sε41111110113333000000SSsSSSSkkke⎛⎞⎛⎞ε⎜⎟⎜⎟⎡⎤ε=ε=⎜⎟⎜⎟⎣⎦⎜⎟⎜⎟ε⎝⎠⎝⎠11110SSkeε=ANSYS33Sε33SkZMPEMUNIT,EPZRO,8.85e-12!MP,PERX,1,reps11!#1MP,PERX,1,reps11MP,PERX,1,reps33reps11reps3320mm10mm2mm3ANSYS9.01SOLID5lanczosPZT-41Fig.1solidandmeshedmodelofPZTboardANSYSANSYSPZTANSYS9.0ConversionPrincipleofMaterialPropertiesofPiezoelectricCeramicsandCommandsUsedtoInputANSYSData5LUOPing,ZHANGTieminJINXin(CollegeofEngineering,SouthChinaAgriculturalUniversity,Guangzhou510642,China)Abstract:ThispaperdescribesthedevelopmentandapplicationofPiezoelectricceramic,andthenpresentstheapplicationofANSYSindesignofultrasonicmotor.Whendesigninganultrasonicmotor,modalanalysisandharmonicanalysisshouldbeperformedonaUSMstator.ApowerfultooloffiniteelementanalysisisANSYS.Oneprocessofmodalanalysisisinputthematerialpropertiesofpiezoelectricceramics:density,dielectricconstantsmatrix,stiffness/compliancematrix,permittivitymatrix.Thematerialpropertiesofpiezoelectricceramicsmustbeconvertedbecauseofthedifferencebetweenmanufacturer-supplieddataandtheformatrequiredbyANSYS.Thispaperhopestoclarifythispointandtoprovideuserswithinformationonconversionroutinesandhowtoinputthoseparameters.ModalanalysishasbeenperformedonaPZT-4boardusingANSYS9.0.Itsresonancefrequencyandvibratemodelwasevaluated.Theexperimentshowsthatit’snecessaryandeffectivetoconverttheformatofmaterialpropertiesofpiezoelectricceramics.keywords:Piezoelectricceramic;ultrasonicmotor;equationofpiezoelectricity;vibrator;ANSYS