射线照相缺陷三维定位的数学模型

,,1),2),2)(,250061):,:;;:TG115.28+1:A:100026656(2001)0220059203MATHEMATICMODELFORTHREEDIMENSIONALLOCATIONOFDEFECTINRADIOGRAPHYZHANGQin-jian,ZHANGJian-hua,LIMin1),DUYu-jin2),LIUFa-hong2)(ShandongUniversity,Jinan250061,China)Abstract:Ananalyticalgorithmisproposedforthreedimensionallocationofdefectsinaplate,thusprovidingaccuratedatafortheapplicationoffracturemechanics.Keywords:Radiographicinspection;Defectlocation;Analyticalgorithm,(NDE),,,,,1[1,2],,,,y,x,z,,,,,,,:20002032271)2)2[3,4]2.11,AO2xyz,,12.21,o2xyP,,xyXY,Pxy9523220012NDTVol.23No.2Feb.2001©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,S,Sxyz,zPoSxyxy,,zf,3P1,RA=RS+R(1)RRa,R=KRa(2)K(1)(2)XAYAZA=XSYSZS+Kxayaza(3)(XA,YA,ZA)AO2XYZ(XS,YS,ZS)SO2XYZ(xa,ya,za)aS2xyzxayaza=1KXA-XSYA-YSZA-ZS(4)za=-f,xaya-f=1KXA-XSYA-YSZA-ZS(5)xa=xa-xoya=ya-yo(6)(xa,ya)ao2xy(xo,yo)oo2xyxa-xo=-fXA-XSZA-ZSya-yo=-fYA-YSZA-ZS(7)4[5,6](7)f1(XS,YS,ZS,xo,yo,f)=-fXA-XSZA-ZS+xo-xa=0f2(XS,YS,ZS,xo,yo,f)=-fYA-YSZA-ZS+yo-ya=0(8)(8)a(xa,ya),(XA,YA,ZA),,XS,YS,ZS,xo,yof,(8),$XS,$YS,$ZS,$xo,$yo$f,f1(XS0,YS0,ZS0,xo0,yo0,f0)+55XS$XS+55YS$YS+55ZS$ZS+55xo$xo+55yo$yo+55f$fõf1û=0f2(XS0,YS0,ZS0,xo0,yo0,f0)+55XS$XS+55YS$YS+55ZS$ZS+55xo$xo+55yo$yo+55f$fõf2û=0(9)(XS0,YS0,ZS0,xo0,yo0,f0),f1(XS0,YS0,ZS0,xo0,yo0,f0)f2(XS0,YS0,ZS0,xo0,yo0,f0)f1(0)f2(0)XS,YS,ZS,xo,yof,,,,,,,(9),5f15XS5f15YS5f15ZS5f15xo5f15yo5f15f5f25XS5f25YS5f25ZS5f25xo5f25yo5f25f5f65XS5f65YS5f65ZS5f65xo5f65yo5f65f$XS$YS$ZS$xo$yo$f=06:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.-f1(0)f2(0)f6(0)(10)(8),(8),XS,YS,ZS,xo,yof,f1f2f1(0)f2(0)(10),;,,,,,,5,,1()2()(1),(2)RA-RSRa=K(11)XA-XSlxal=YA-YSlyal=ZA-ZSl-f1=Kl(12)XA-XSrxar=YA-YSryar=ZA-ZSr-fr=Kr(13)(XA,YA,ZA)AO2XYZ(xal,yal)A,(6)(xar,yar)A,(6)fl,fr(XSl,YSl,ZSl)O2XYZ(XSr,YSr,ZSr)O2XYZKlKr,A(14),(15)XA=XSl+KlõxalYA=YSl+KlõyalZA=ZSl+Klõzal(14)XA=XSr+KrõxarYA=YSr+KrõyarZA=ZSr+Krõzar(15)6,,[7],:[1],.[J].,1985(4):23-37.(69)102102200191721(Brisbane),(15min)(2001130)A2PCNDTSecretariatcö2OzAccomConferenceServicesPOBox164FORTITUDEVALLEYQLD4006AUSTRALIATel:[phone]Fax:[phone]E2mail:[e-mail]():2001430:100:200437:ö:[phone]E2mail:[e-mail]()16:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.15SH4mm4mm1mm,,,(2)SH(3),(2MHz,Y=50mm);,(5MHz,Y=10mm)(4)SHSH(5)SH(6)SH,(7)4mm4mm1mm1.51.7SH,:(1),(2),SV22(3),(4),SH,,:[1].SH[J].,1998,47(6):403-410.[2],,.SHSHƓ}[J].,1996,45(9):688-696.[3],.SH[J].,1996,45(2):136-144.[4],,.SH[J].,1996,45(5):343-347.(61)[2]LiuFahong,DuYujin.Designandtestofstereoscop2icX2radiographicobservingandmeasuringinstrument[J].IntJourPresVesPiping,1990,44(3):353-364.[3]AH.[M].:,1983.139-150.[4].[M].:,1985.20-38.[5].[M].:,1987.75-80.[6].[M].:,1989.55-70.[7].[D].:,1998.96:SH©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.