方钢纵向磁化时各棱上的磁荷线密度

(,210037):(),,:;;:TG115.28;TG115.27:A:100026656(2002)0820332204THELINEARMAGNETICCHARGEDENSITYALONGTHEEDGESOFALONGITUDINALLY2MAGNETIZEDSTEELCUBOIDZHONGWei2chang(NanjingGasTurbineResearchInstitute,Nanjing210037,China)Abstract:Accordingtothemagnetizingprincipleofasteelcuboid(themagneticchargesdistributeuniformlyalongalledges)andthemagnetizinglawofmagneticmedium,theapproximateanalyticalexpressionsforthelinearmagneticchargedensityalongalledgesofboththesteelcuboidandthecuboidwitharectangularslotmagnetizedlongitudinallyweregiven.Itwascon2cludedthatthelinearlawbetweenslotdepthandthemagneticleakagefieldcausedbytheslotwasapproximate.Keywords:Steelcuboid;Longitudinalmagnetization;Leakagemagnetization1J(),[1]J=PmV(1)pmV,WbmV,m3P(x,y,z)dV=dSdx,dSx(1a),(1)J(x,y,z)=qm(x,y,z)dxdSdx=m(x,y,z)(2):2001206201:(59571064)(a)(b)1qm(x,y,z)dS,Wbm(x,y,z)dS,Wb/m2PP1P2,xdV1,dV2,PdS(1b)23324820028NDTVol.24No.8Aug.2002©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.[1]J=m0H0(3)H0,A/mm,,,H000=410-7H/m,(x),dV1dV2qm1qm2qm1=m0H0dS(4)qm2=m0H0dS(5)(4),(5)qm1=qm2(6)PdSqmqm=qm1-qm2=0(7),dV=dV1+dV2,-qm1+qm2(1b)mm1=-qm1dS(8)m2=qm2dS(8)qm2dS=qm2(dx1+dx2)dS(dx1+dx2)=qm2dxdV1+dV2=Pm(dV)dVm(dV)=J(dV)(9)J(dV)dVPm(dV)dV(1)L(,2a)qm2dS=qm2(dx1+dx2+)dS(dx1+dx2+)=qm2LdV1+dV2+=Pm(dSL)dSLm(dSL)=J(dSL)(10)m(dSL)Pm(dSL)J(dSL),(1)(2b)(3)(10)qmi=m0H0dSii=1,2,(11)(a)(b)2ii(11)i=1qmi=m0H0i=1dSiqm=m0H0S(12)qmSm=qmS=qmLSL=PmV(13)m=Jm(14)mJmPmV(1)3(3),,H0,(3)(13)PmiVi=m0H0i=1,2,3Vi=Pmim0H0ViiPmii3333:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.V,V=V1+V2+V3=Pm1m0H0+Pm2m0H0+Pm3m0H0Pm1+Pm2+Pm3V1+V2+V3=m0H0(15)PV=J=m0H0(16)P=P1+P2+P3,2[2],,H0,,[3],4,H0x,2l,2wh(m)4l,Wb/m,O,ldld2,P1P1=4l02ld=4l(2)l0=4ll2P1=4ll2(17),P2P2=l(4w+2h)2l=4l(2w+h)l(18)PP=P1+P2=4l(l+2w+h)l(19)(3),(15)(19)4l(l+2w+h)l2l2wh=m0HH,HH0,H=C(H0,l,w,h,x,y,z)H0C(x,y,z),C,l=whl+2w+hCm0H0(20)l=Kcm0H0(20)Kc=Cwhl+2w+h(21)(20)(20),lH0m,Kc35[4]5(2bd,m,4)P1=2l2w(l-b)P2=4ld(l-b)P3=4ll-b22=l(l-b)2P4=4llwP5=2l(h-d)2l=4l(h-d)lP6=2ll2P7=2lb2PP=7i=1Pi=l[4(w+d)(l-b)+(l-b)2+4lw+4(h-d)l+2l2+2b2]P=l[8lw-4bw-4bd+3l2+3b2-2lb+4lh]5433:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.(16)2l[8lw-4bw-4bd+3l2+3b2-2lb+4lh]2l2wh-2b2wd=Csm0H0,CsH0(l,w,h,b,d)(x,y,z),Cs,l=4w(lh-bd)Csm0H08lw-4bw-4bd+3l2+3b2-2lb+4lh(22)l=Kcsm0H0(22)Kcs=4w(lh-bd)Cs8lw-4bw-4bd+3l2+3b2-2lb+4lh(23)Kcs(23),,b,dl,w,h[4],Kcs4lwhCs8lw+3l2+4lh=4whCs3l+8w+4h=Kcs(24),(22)l=(A-Bd)m0H0(25)A=4lwhCs8lw-4bw-4bd+3l2+3b2-2lb+4lhA4whCs3l+8w+4h=Kcs(26)B=4wbCs8lw-4bw-4bd+3l2+3b2-2lb+4lhB4wbCs8lw+3l2+4lh=blhKcs(27)lKcs-blhKcsdm0H0(28)(28)ld[5],[6]4(1),(2),,(3):[1],.[M].:,1978.[2].[J].,2000,22(3):116-118.[3].[J].,1997,19(4):95-98.[4],,,.[J].,1981,1(2):30-31.[5].[J].,1991,13(4):96-100.[6].[J].,1997,19(11):304-307.11GB/T94451999GB/T12604.11990GB/T12604.31990GB/T12604.41990JB/T50751991JB/T60631992JB/T60651992JB/T60661992JB/T75221994JB/T75231994JB/T79021995JB/T79031999,1:99,:200437,E2mail:[e-mail],:[phone],65529936()533:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.