压电陶瓷片耦合振动模态的ANSYS模拟分析

TheAnalysesoftheVibrationModelofPiezoelectricCeramicPieceBasedonANSYSJIANGDe-yi1,ZHENGZheng-yu2,LILin1,RENShong11.KeyLab.fortheExploitationofSouthwesternResources&theEnvironmentalDisasterControlEngineering,Chongqing630044,China;2.MinistryofEducation,ChongqingUniversity,Chongqing400044,ChinaAbstract:Thepiezoelectricceramicpiecewhichplacedintheconcretecanbeusedinthemonitoringoftheconcretestructure,anditsmechanicalactionmayseeasavibrationofcompoundthindisc.Thispiezoelectricceramicpieceiscomposedoftwokindsofdifferentmaterials,thereexitscouplingquestionofdegreeoffreedom,andthecouplingofdif-ferentphysicalfield.ThisarticleusestheANSYS611tocarryonthecouplinganalysisofpiezoelectricity,andfindsoutitspositiveandnegativeresonancesimulatingmodel.Keywords:piezoelectricceramic;ANSYS;piezoelectricitycouplinganalysesANSYS¹姜德义1,郑拯宇2,李林1,任松11.,630044;2.,400050:,,,ANSYS611,:;ANSYS;:TN304.9:A:1004-1699(2003)04-0452-05-,,,-,,[1],,,[2~4],,,,,,,,,AN-SYS611,,ANSYS6112003124¹:2003-05-25:/0:(1962-),,,,,[e-mail];(1969-),,,.1ANSYSANSYS,111,ANSYS,,,,,,,,,:¹;º;»112()():,-,-,-,--ANSYS,,[5],,:-/0,,,,,,,2ANSYSSOLID5(-),ANSYS,ANSYSSOL-ID5SOLID5,,SOLID5,[6]()(),;,)))e:{T}{D}=[c][e][e]T-[E]{S}-{E}(1):{T}={D}={S}=;{E}=[c]=[e]=;[E]=:[M][0][0][0]&u&V+[C][0][0][0]ÛuÛV+[K][KZ][KZ]T[Kd][v][V]=[F][L]:[M],[K],[Kd],[KZ]4534,:ANSYS,ANSYS()()3311(PZT),,,1:图1压电陶瓷片的简化模型D1=112mmR=1911mmD2=016mmr=1911mmPGPaPkg#m-2106.8289200.35(PZT-4)7600[c]@10-10N/m2:131971437178000015157143000001319000000215600000021560000002156[e]C/m2:0-51200151100-5120121700001217000[E]@109F/m:614551626145312¹:/PREP7SMART,OFFET,1,SOLID5,0!/com!MP,DENS,3,7600!MP,PERX,3,71124e-9!XYMP,PERZ,3,51841E-9!ZMP,EX,2,1018E10!MP,NUXY,2,.35!MP,DENS,2,8920!TB,PIEZ,3!TBDATA,16,1015TBDATA,14,1015TBDATA,3,-411TBDATA,6,-411TBDATA,9,1411TB,ANEL,3TBDATA,1,1312E10,711E10,713E10TBDATA,7,1312E10,713E10TBDATA,12,1115E10TBDATA,16,310E10TBDATA,19,216E10TBDATA,21,216E10º,,45b(),,,,,,2:图2模型的建立和网格划分4542003313,,()(),Lanczos,Lanczos,,,¹:/SOLUANTYP,MODALMODOPT,LANB,10,50000,150000!LANCZOSMXPAND,10NSEL,S,LOC,Z,HND,ALL,VOLT,0!NSEL,S,LOC,Z,HAD,ALL,VOLT,0!NSEL,ALLSOLVE*GET,F1,MODE,2,FREQ*GET,F2,MODE,5,FREQFINISHº:ANTYPE,MODALMODOPT,LANB,10,50000,150000!LANCZOSMXPAND,10NSEL,S,LOC,Z,HA!DDELE,ALL,VOLTCP,1,VOLT,ALL!NSEL,ALLSOLVE*GET,F3,MODE,4,FREQ*GET,F4,MODE,8,FREQFINISH»:NSEL,S,LOC,Z,HACP,1,VOLT,ALL!D,N1,VOLT,10!10VNSEL,S,LOC,Z,HND,ALL,VOLT,010!NSEL,ALLFINISH/SOLUEQSLV,SPARSEANTYPE,HARMICOUTRES,ALL,ALLHARFRQ,5000,35000NSUBST,2KBC,1EQSLV,ICCGSOLVEHARFRQ,39000,45000SOLVEHARFRQ,46000,54000SOLVEFINISH:¹:/POST1/VIEW,1,1,1,1/VUP,,Z/TYPE,,4*DO,I,1,10SET,LS,IPLDISP,1*ENDDOFINISHANSYS3:图3压电陶瓷片反谐振状态下的变形º:/POST1*DO,I,1,10SET,LS,IPLDISP,1*ENDDO/VIEW,1,1,1,1/VUP,,Z/TYPE,,4ANSYS4554,:ANSYS4:图4压电陶瓷片反谐振状态下的变形4,,ANSYSSOLIDE5,,,ANSYSANSYS,,,ANASY,:[1]SosaHA.PlaneProblemsinPiezoelectricMediaWithDe-fects[J].IntJSolidsStruct.1991,28(4):491-505.[2]SungKH,keilersC,ChangFK.FiniteElementAnalysisofCompositeStructuresContainingDistributedPiezoceramicSensorsandActuators[J].AIAA,1993,30(3):772-780.[3]SungYiet.Largedeformationfiniteelementanalysesofcom-positestructuresintegratedwithpiezoelectricsensorsandactu-ators[J].FiniteElementsinAnalysisandDesign2000(35):1-15.[4]AllikH,HughesTJ.Finteelementmethodforpiezoelectricvibration[J].Int:JNumer.MethodsEng.(1979)2:151-168.[5].ANSYS610[M]..2002.[6]ANSYS,Inc.ANSYSCoupleFieldAnalysisGuide,Release1999:36-38.********************************************(上接第474页),,,,BPSAW,:[1].[M]..1997.[2].[M]..2002.[3][]MARtinT.Hagan..[M]..2002.[4][]Ken-yahashimoto..[M]..2002.[5].MATLAB6.X[M]..2002.4562003