搜索
(,400016):,;22,:;;:TG115.28+5:A:100026656(2001)1220510204ANALYSISOFTHEACOUSTICFIELDSOFLAMBWAVESINSOLIDCOMPOSITELAYERSDENGMing2xi(LogisticsEngineeringUniversity,Chongqing400016,China)Abstract:Basedontheanalysismethodofpartialplanewavesofelasticguidedwaves,theacousticfieldsofLambwavesinsolidcompositelayerswereanalyzed.TheresultsshowedthatLambwavesinsymmetricsolidcompositelayersmightbesymmetri2calorantisymmetrical,andLambwavesinnonsymmetricsolidcompositelayerswerenonsymmetrical.Forsolidcompositelayers(solid2adhesive2solidstructure),thenumericalanalysesregardingthedispersionrelationshipandacousticfielddistributionofLambwaveswerecarriedout.TheresultsareofpracticalsignificanceintheapplicationofLambwavesforthenondestructiveeval2uationofsolidcompositelayers.Keywords:Ultrasonictesting;Composite;Acousticfield,(),,[1,2],,,,;,,,,:2000210224:(10004016);,,,,(),,122,,,();,1,0152312200112NDTVol.23No.12Dec.2001©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.1,1,[3],,z,z(2)i(i=1,2,3)[4]u(i)T1=u(i)T1(K0(i)T1^x)exp[jK(i)T1r-jt]u(i)L1=u(i)L1K0(i)L1exp[jK(i)L1r-jt]u(i)T2=u(i)T2(^xK0(i)T2)exp[jK(i)T2r-jt]u(i)L2=u(i)L2K0(i)L2exp[jK(i)L2r-jt](1)K(i)Pnr=kz+(-1)n(i)Pkyn=1,2K(i)P=c(i)P=|K(i)P1|=|K(i)P2|k=K(i)Psin(i)P=c(i)Pk=K(i)Pcos(i)P(i)P=c2c2(i)P-1(2)K0(i)Tn,K0(i)LnK(i)TnK(i)Ln2(i)T,(i)LK(i)Tn,K(i)Lny^xxkK(i)Tn,K(i)Lnzu(i)Tn,u(i)LnK(i)PK(i)Pnc(i)PPTL[2]T(i)yy=0T(i)yz=0y=d2+d12y=-d3-d12T(i)yy-T(j)yy=0T(i)yz-T(j)yz=0y=d12u(i)y-u(j)y=0u(i)z-u(j)z=0y=d12(3)T(i)yy,T(i)yziu(i)y,u(i)zyz(3)[M(,k)]u(i)Lnu(i)Tn=0i=1,2,3n=1,2(4)[M(,k)]1212,,,|M(,k)|=023,(4)[MA(,k)]u(3)L2-u(2)L1u(3)T2-u(2)T1u(2)L2-u(3)L1u(2)T2-u(3)T1u(1)L2-u(1)L1u(1)T2-u(1)T1=0[MS(,k)]u(3)L2+u(2)L1u(3)T2+u(2)T1u(2)L2+u(3)L1u(2)T2+u(3)T1u(1)L2+u(1)L1u(1)T2+u(1)T1=0(5)115:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.[MA(,k)][MS(,k)][M(,k)]|MA(,k)|=0,(5),(|MS(,k)|0),u(3)P2=-u(2)P1u(2)P2=-u(3)P1u(1)P2=-u(1)P1(6),(),|MS(,k)|=0,(5),u(3)P2=u(2)P1u(2)P2=u(3)P1u(1)P2=u(1)P1(7),|MA(,k)|=0|MS(,k)|=0,1,,,;,,,,,,i(exp(-jt))[3]u(i)y=2n=1{(-1)nu(i)Lncos(i)Lexp[jK(i)Lnr]+(-1)n-1u(i)Tnsin(i)Texp[jK(i)Tnr]}(8)u(i)z=2n=1{u(i)Lnsin(i)Lexp[jK(i)Lnr]+u(i)Tncos(i)Texp[jK(i)Tnr]}(9)2,,22,=2700kg/m3,cL=6350m/s,cT=3100m/s;=1120kg/m3,cL=2383m/s,cT=1071m/s,,|M(,k)|=0,;,|MA(,k)|=0|MS(,k)|=0(a),d3=d2,d1/d2=0.15625(b),d1/d2=0.1,d1/d3=0.1233,1(),[3],,(4)u(i)Lnu(i)Tn=E(i)LnE(i)Tn=u(3)T2(10)E(i)LnE(i)Tn(i=1,2,3;n=1,2;E(3)T2=1)(4)11(10)u(3)T2,c,(2),(10)(8)(9),u(3)T24(u(3)T2),215:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.4,,,,(),L1,L2(4g,h),,,,(4b,e,f,i),(),(),,(4c,e,f,i),,,,,;,,,,;,,(4a,b,d,e),(4g,h)3,(540)315:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,100%,,1/3,2/390,,,,3.3192Ir,3.331012Bq0.6MeVHVL=0.44cm,T=4.6cmRX=50m,n=1.41,HVL=1.03cmR=612mKr=3.2910-11Ccm2/(hkgBq)2.0m,K=1.03[2]1.8D3.0[2]192Ir69mD72.0,2.5,3.0,4.0,4.13,5.16,6.19,7.7410-4C/kgB23.4,1=2=13.48,=13.86,=76.14,h=1.53m,fA=6.386m,fB=7173m,t=23hd=0.98cm2.1D2.5,69m5.710-8C/kgh42[3]MeVdBMeVdB0.511.220.672.090.521.380.6102.40.541.610.66211.290.571.830.66221.50.5102.090.66241.840.611.260.66272.250.621.450.662102.60.641.75192Ir,,,JB47301994GB47921984,,,,,:[1]GB47921984,[S].[2]JB47301994,[S].[3],,,.()[Z].1998.[4].[J].,1994,16(5):131.(513)(22),,,,,,,,,,:[1]PriceDC,MartinBJ,ScottDA.Ultrasonicguidedwavesforinspectionofbondedpanels[J].AcousticsAustralia,1999,27(3):95-101.[2]MalAK.Guidedwaveinlayeredsolidswithinterfacezones[J].IntJEngngSci,1988,26(8):873-881.[3]AuldBA.AcousticFieldsandWavesinSolids[M].NewYork:Wiley,1973.[4]MingxiDeng.Cumulativesecond2harmonicgenerationofLamb2modepropagationinasolidplate[J].JApplPhys,1999,85(6):3051-3058.045:192Ir©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.