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:2003210226:(19632),(),,,,:100027466(2004)0220007204(,430015):,:5%,99%,,r=0.9579,Sr=0.1109,Cr=0.1158:;;;:TH49;TQ051.3:AResearchonprobabilitydistributionofcriticalpressureinbucklingforthethinsteelwalledexternalpressurevesselLIUXiao2ning(WuhanPolytechnicCollegeofIndustry&Communication,Wuhan430015,China)Abstract:Byusingthemethodofstatistics,thecriticalpressureinbucklingforthethinsteelwalledexternalpressurevesselisanalyzed.Theresultsshowsthat:Theratioofthecriticalpressureinbucklingandthetheorticalexpectedvalueisarandomvari2ablewithnormaldistribution,andwiththemarkedof5%Withtheconfidencelimitof99%,thedistributionparameteroftherandomvariableisobtained.Keywords:externalpressurevessel;criticalpressureinbuckling;randomvariable;distributionparameterpc()r2=pcPpthpcEDoL,N(pcPpth)ipcpth()(pcPpc)ipcpcpthpc()(pcPpth)ipcpthET,STDoai,ai+1()LtN-1,1-tE,Do,,LEDoLx2N-1,1-,x2N-1,x2r,r1,r2SE,SDi,S,SLEDoLr=pcPpthCE,CDi,C,CLEDoLr1=pcPpc,,[1],,,,:[1]33220043PETRO2CHEMICALEQUIPMENTVol133No12Mar12004©1994-2007ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[1],,[1],[2,3],,2,,,,1111,:,,,,[2,3],,,,(1),,=110,S=P3,,112,:pcpth=pcpcpcpth(1)r=r1r2(2),:pth=2159E(Do/)-215LPDo-0145(DoP)-015(3)pc=2159E(Do/)-215LPDo-0145(DoP)-015(4)pc113rr1r2,:Tr=pcpthTr1=pcpcTr2=pcpth(5),TrTr1Tr2TrTr1Tr2SrSr1Sr2:Tr=Ni=1pcpthi,Sr=1N-1Ni=1pcpthi-Tr2Tr1=Ni=1pcpci,Sr1=1N-1Ni=1pcpci-Tr12(6)Tr2=Ni=1pcpthi,Sr2=1N-1Ni=1pcpthi-Tr22114[1]93,,TrTr1Tr2:Tr=019761,Sr=0102555;Tr1=019649,Sr1=0102828;Tr2=110125,Sr2=01018122rr1r2211:n,m=n-1-2,,n,xm,2,T[ai,ai+1]:Pi=ai+1- TS-ai- TS(7)(Ni)(NPi),:x2=ni=1(Ni-NPi)2NPi(8)x2xm,2,,212TrTr1Tr2n=1+3.3lgN=7.48,n=7,[1]8200433©1994-2007ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[ai,ai+1]PNiPPiPNPi(Ni-NPi)2NPix2[(8)]Tr1[0.9060,0.9257]20.0213511985411073610-41152862[0.9257,0.9455]80.090688.43320.022253[0.9455,0.9652]190.2185020.32050.085814[0.9652,0.9849]330.2995027.85350.950925[0.9849,1.0046]190.2355021.90150.384396[1.0046,1.0244]100.102029.48790.027647[1.0244,1.0441]20.025472.36900.05748Tr11[0.9047,0.9230]50.052854.91511.466510-37.86552[0.9230,0.9613]180.1338612.44902.475203[0.9613,0.9596]160.2214020.59021.023304[0.9596,0.9780]220.2525023.48250.093955[0.9780,0.9963]220.1893017.60491.097256[0.9963,1.0146]50.094308.76991.620367[1.0146,1.0329]50.031002.88321.55412Tr21[0.9661,0.9789]40.026932.50410.893626.04212[0.9789,0.9917]70.041423.85212.572433[0.9917,1.0045]170.2564223.84711.966004[1.0045,1.0172]250.2726025.35184.881810-35[1.0172,1.0300]250.2314021.52020.562686[1.0300,1.0428]110.1185411.02425.312310-57[1.0428,1.0556]40.038803.60880.042411Tr2Tr13Tr221313,rr1r25%,n=7,m=4,[6]:x4,0.052=9.4881,TrTr1Tr2,5%,rr1r2,3rr1r2rr1r2,:rr1r2;SrSr1Sr2;CrCr1Cr2311r1r1pcpc,r1Sr1Cr1N,,[6],,(1-),r1r1:r1Tr1-tN-1,1-Sr1PN(9)r1Tr1+tN-1,1-Sr1PN(10)r1Sr1:Sr1Sr1(N-1)Px2N-1,(11)Sr1Sr1(N-1)Px2N-1,1-(12)tx2(N-1)(1-),99%,:x92,0.992=125.242,x92,0.012=62.629,t92,0.99=2.373(9)(12),r192:©1994-2007ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[0.9579,019719],Sr1[0.02424,0.03428],Cr1[0.02494,0103579]312r2r2,r2N,r2;,r2[2,3](3)(4),pthpc,r2r2=1.0[5](4)r2:Sr2=9pcP9Eo2SE2+9pcP9Lo2SL2+9pcP9Dio2SDi2+9pcP9o2S212Ppth=CE2+6125C2+CT2+2125CDi2(13)(4)(13),ELDiE,CE=0.03[4,5],,12%,12.5%,C=0.04,C=0.04167C=0.04167Di,[2]DoP=25,e=0.20,Di=23,Die=(23012),[(Die)PDi]=(18.695710-3),,CDi=0.002899;DoP=900,e=1.0,Di=898,Die=(898110),[(Die)PDi]=(11.113610-3),CDi=1.113610-3P3=0.0003712;,CDi=0.002899L[2]L,,0.5%,,,LCL=0.001667(13),r2Sr2=011085pthpc,r2=1.0,Cr2=Sr2Pr2=0.1085313rr1r2,rrSrCr[5]:r=r1r2Sr=r12Sr22+r22Sr12(14)Cr=SrPrr1r2,r1r2(14),r:r[0.9579,0.9719],Sr[0.1067,0.1109],Cr[0.1098,0.1158]314(1)(2),99%,pc:pc=0.9579pth(15)Spc=0.1109pth(16)Cpc=0.1158(17)4,,5%,r,r,r,,99%,r:r=0.9579,Sr=011109,Cr=0.1158:[1],.[J].,1990,7(5):131[2]GB1501998,[S].[3].[S].:,1999.[4]EB.[M].,,,1:,1985.[5].[M].:,1984.[6].[M].:,1983.()01200433©1994-2007ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.