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(,116028)VonMises,()1,,,[1,2],80200m,TimoshenkoGere[3]Marshall[4][5],[5],Timo2shenko,[6][7],[8],Von.Mises,,Timoshenko,,,,2[8]([8])[8]B,HHH-F(1+4ncos2H+B,H)-F,H(B+2nsin2H)-27(H)sinH-3q(1-12B2)-2nBsin2H=0(1)B,HH+F,H-F(B+2nsin2H)-27(H)cosH-3qB=0(2)144Vol.14,No.4199611THEOCEANENGINEERINGNovember,1996:B(H)=B(-H),F(H)=F(-H);B(H+2P)=B(H),F(H+2P)=F(H)(3)q=PöPc;Pc=Etö(4(1-L2)R3);n=X0öR(4)=12(1-L2)R26öt;F=12(1-L2)fR2ö(t2E)(5)7(H)=H0[(1-2nBsin2H-12B2)cosH-BsinH]dH(6)(1)(6):E,LR,tP,PcVon.MisesB,6fX0TimoshenkoX0cos2HH(1)(3),[8]B,F7n:[B,F,7]=6i6j[Bij,Fij,7ij]nij(i,j=0,2,4,)(7):B=A1sin2H2+(A2sin2H+B2sin4H)4++[(3qö2(1-q))+2A1+16qA21ö3)sin2H+]n+(8)F=-3q+(B1cos2H-12)2+-[(3q2ö(1-q))cos2H+]n+(9)MöMm=9ö(46)[(1-12nA1q)-((1+4n)A1+32qnA21ö3)3-2A215ö3+](10)A1=18(1-q)-1A2=A118(1-q)-1B1=12+14(3q-4)(1-q)-1B2=196[56-15B1-6A1q)(5-q)-1Mm=229PERt21-L2BrazierM3,(8)(9),:BA12sin2H+3nqsin2Hö(1-q)(11)F-3q+(B1cos2H-1ö2)2(12)0114Ex=-R67(H);6H=B,HöR(13):Ex=-R6[sinH-8nA12(5-3sin2H)sin3Hö15-2A12sin3Hö3-nqsin3Hö(1-q)](14)6H=2A12cos2HöR+3ncos2Hqö(1-q)R)(15)1,(H,z)=(-P2,tö2),(1)Ex=R6[1-(16nö15+2ö3)A12-nqö(1-q)](16)6H=-2A12öR-3nqö((1-q)R)(17)RxöE=Ex;RHöE=t6Hö(2(1-L2))+Fö(12(1-L2)m2)(18)RxöE=C[1-nqö(1-q))-(16nö15+2ö3)A13](19)RHöE=-3C2[4mA12+6mnqö(1-q)+q+(1ö6+B1ö3)2](20):C=(12(1-L2))-12m-1;m=Röt(21)A1=1ö(8(1-q));B1=1ö2+Bq-4)ö(4(1-q))(22)Von.Mises:Re=R2x+R2H-RxRBRr(23)ReRr,P(39)(20)(23),a6(66y)6+a5(66y)5+a4(66y)4+a3(66y)3+a2(66y)2+a1(66y)1+a0=0(24):6y=Ryö(ER)(ai,i=0,1,6):114a0=(PRRyt)2(1+6mn-q1-(1+n)q)2-(1-q1-(1+n)q)2(25)a1=(PRRyt)(1+6mn-q1-(1+n)q)(26)a2=1+PRRyt)(RyE(6m-q)(1+6mn-q)2(1-(n+1)q)2(27)a3=(RyöEC)4(1-(1+n)q)[(6m-q)C-(1+85n)q(1-(1+n)q)(1+6mn-q)](28)a4=RyEC)2((6m-q)C4(1-(n+1)q))2-(1+85n)6(1-(1+n)q)(29)a5=RyEC)3(C(1+85n)48(1-(1+n)q)2(6m-q))(30)a6=RyEC)4((1+85n)12(1-(1+n)q))2(31)(a3,a4,a5,a6)(a2),,,(24)(6ö6y)2+a1(6ö6y)+a0=0(32)(6ö6y=0),S.TimoShenko[3]P2-[(Ryöm)+(1+6mn)Pc]P+(Ryöm)Pc=0(33),(32):(6ö6y)=(1-q1-(1+n)q)2-0.75(PRRyt)2(1+6mn-q1-(1+n)q)2-0.5(PRRyt)(1+6mn-q1-(1+n)q)(34)(10):(MöMy)=[(1-3nqö(2(1-q)))](6ö6y)(35)My=PR2+Ry(34)(35)4(34),Döt=47,X0öR=0.01,16Mn(RyöE=1.6310-3),API5LX260(RyöE=2.0110-3)(RyöE=3.1110-3),2,2114(RyöE)2,,,2%[6],Dmax-DminDmax+Dmin0.01(36)X0öR0.013(6ö6y)(PRRyt)Döt=47API5LX260RyöE=2.0110-3,X0öR=0.01,(Döt)4,(Döt),(24),(34)5%1,RyöE=1.6310-3,X0öR=0.01,Döt=47,Q=1.023510-3kgöcm33143441141H()(m)0.020406080100120140160180200PRRyt()0.00.0170.0290.0440.0580.0730.0880.1020.1170.1310.14666y()1.00.980.960.940.910.870.850.80.750.690.61STUDYONFIRST2YIELDSTRENGTHOFSUBMARINEPIPELINESZhangWenge(DalianRailwayInstitute,Dalian116028)AbstractFirst2yieldformulasofsubmarinepipelinessubjectedtocombinedbendingandexternalpres2sureloadsaredevelopedusingaVon2Misesyieldcriterion.Initialovalityimperfectionsareconsideredintheexpressiones.First2yieldstrengthofsubmarinepipelinesinadeepwaterregionisnumericallypredict2ed.Theinfluentialcurvesofvariousparametersontheyieldstrengtharegiven.KeyWordssubmarinepipeline,yieldstrength,first2yield514
本文标题:海底管道的初始屈服研究
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