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286Vol.28No.620076RockandSoilMechanicsJun.20072005-07-042005-09-05:(No.50678175)1962E-mail:wqxiao@mail.csu.edu.cn10007598(2007)06120105410075Matlab6.5TU473AOptimizationmethodsofretainingstructureindeepfoundationpitXIAOWu-quanLENGWu-ming(SchoolofCivilandArchitecturalEngineering,CentralSouthUniversity,Changsha410075,China)Abstract:Theoptimizationmethodsincludingschemesofthesupportingsystemandthedetailedcalculationanddesignoftheselectedprogramfordeepfoundationpit,arestudied.Usingmulti-objectivedecisionmakingfuzzysetanalysisandanalyticalhierarchyprocess,theoptimizedprojectoftheretainingsystemthatisofthemultipleattributeandfuzzypropertyisselected.Throughtheselectionofdecisionvariables,objectivefunction,constraintcondition(i.e.strength,size,displacementetc.)andoptimizationalgorithm,thedetailedstructureoftheselectedprogramcanbeoptimizedinordertominimizethecostofconstruction.BythesoftwareMatlab6.5,itiseasytosolvethisminimizedvalueofnonlinearconstraintminimizationvalue.Apracticalexamplestudyshowsthatthereisbettereffectonbothselectingtheretainingprogramanddecidingthedetailedstructure.Keywords:deepfoundationpit;schemeofretainingsystem;detailedstructure;optimizeddesign12[1]2.11nm…20071112121222312.............nmnijmmmnxxxxxxxxxx×⎡⎤⎢⎥⎢⎥==⎢⎥⎢⎥⎢⎥⎣⎦X1ijxji121.510.5021111212122212......()......nnmnijmmmnrrrrrrrrrr×⎡⎤⎢⎥⎢⎥=⎢⎥⎢⎥⎢⎥⎣⎦R2ijr(i=1,…m;j=1,…n)ji,,1ijr2ijr1ijr1min()max()min()ijijijijijxxrxx−=−32ijr2max()max()min()ijijijijijxxrxx−=−43ujuj2/111(1)1()jpmpiijimpiijiuqrqr===⎡⎤−⎢⎥⎢⎥+⎢⎥⎢⎥⎣⎦∑∑5pp12qii11miiq==∑qi[2][3]2.2qi14[4]11Fig.1Hierarchymodelofretainingschemesofdeepfoundationpit219A-B(AB1B2B3B4)1CICRRI1A-BTable1A-BJudgmentmatrixandconsistencyverificationAB1B2B3B4QBk(k=1,…,4)B111230.351B211230.351B31/21/2120.189B41/31/31/210.109maxλ4.012CI0.004RI0.9CR=0.00440.13[5]maxλ6CICR12026max1NCINλ−−CICRRI=6NRI[3]CR0.1ABmaxλWCICR1[Qj]242Q=Q1Q2…Qn(n=12)72Q=0.1370.0690.0750.0420.0270.3510.140.0320.0180.0810.0180.012Table2SingleorderingweightsandgeneralorderingweightsBC1C2C3C4C5C6C7C8C9C10C11C12B1=0.3510.3910.1980.2150.120.0760000000B2=0.351000001000000B3=0.1890000000.740.1670.094000B4=0.1090000000000.740.1670.094Qi0.1370.0690.0750.0420.0270.3510.140.0320.0180.0810.0180.01343.1X={x1x2x3}x1x2x3x13.2FF=f(x1x2x3)=CfL+Cmx3min8CfCm/m/mL(m)L=x2L1L2n′L1(m)L2(m)x1n′m23.3(1)[6]0cscs1.25MzfWγγ+9cscs0.06MzfWγ−100γcsγzfcsMWdsycosTAfθ11AsTdfyθ(2)111222333axbaxbaxb⎫⎪⎪⎬⎪⎪⎭12(3)[]δδ13δ[]δ3.4Matlab6.51203200746.5m79.5m35.7m233Table3Soilstypesandmaincalculationparameters/m/kN·m-3/kPa/(º)11.218.510102317.612532.919281543.3203216551928154.14(d1)(d2)(d3)(d4)2[67]1C1C1212444Table4Quantifiedindicesofdifferentprojectsd1d2d3d4C11.11.41.71.9C20.90.911C30.810.70.7C40.70.811C510.90.80.7C6153143187196C71.10.50.60.2C80.910.80.9C90.50.511C1030355060C110.50.511C120.610.6124R00.3750.75100110.33310000.3331100.3330.66710.81R10.17000.6670.55610.5010.5001110.8330.333011001010⎡⎤⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎢⎥⎣⎦142Qi5ujp=2u1=0.711u2=0.886u3=0.161u4=0.253424.2L1=230.4mn′=6.25Cf=45/mCm=90/m0γ=1.0csγ=20kN/m3fcs=700kPa12.54.5mx22.55mx31225mx20.01[7][]δ=0.016.5m=0.065m=6.5cmMatlab6.5x1=4mx2=2.9mx3=15mF=143.5x1x155Table5Relationbetweenthepositionofanchorandcostaswellasdisplacementx1/m4.543.53F/145.7143.5135.5122.1/cm3.25.89.415.94m2.9m15m4.2cm5123121112046[1],,.[J].,2004,25(3):386390.DINGHong-yan,WANGLi-guo,DUJie.Themodeltestsforadjustmentofpenetrationofmulti-bucketfoundationplatform[J].RockandSoilMechanics,2004,25(3):386390.[2]DingHong-yan,QiLan,XuJi-zu.Thebucketfoundationplatformsinstalledinshallowandicedriftingarea[J].JournalofColdRegionsEngineering,2001,15(4):211218.[3]DilipRM,LuisFGV,JohnLT.Installationandpulloutofsuctioncaissons:Finiteelementsimulation[J].ProceedingsoftheInternationalConferenceonOffshoreMechanicsandArcticEngineeringOMAE,2003,3:875881.[4],,.[J].,2004,16(5):353356.DINGHong-yan,LIUJian-hui,ZHANGChao.Simulationofinfluenceofbiggishpileshoepullingoutonfoundationofbucketfoundationplatformwithfiniteelementprogram[J].ChinaOffshoreOilandGas,2004,16(5):353356.[5],.[J].,2003,34(2):9496.LIDa-yong,GONGXiao-nan.Analysisofimpactofexcavationofdeepfoundationpitsonburiedpipelines[J].ArchitectureTechnology,2003,34(2):9496.[6],,,.[J].,2005,24(2):109113.DUJie,DINGHong-yan,LIUJian-hui,etal.Researchonboundaryselectionofsoilofbucketfoundationwithfiniteelementanalysis[J].OceanTechnology,2005,24(2):109113.[7],,.[J].,2002,15(4):4952.SHIXiao-chun,GONGXiao-nan,XURi-qing.Numericalanalysisofpropertiesofbucketfoundationunderhorizontalforces[J].ChinaJournalofHighwayandTransport,2002,15(4):4952.[1]A..[M]..1987.[2].[J].1997,7(4):8791.FANZhi-ping,ZHAOXuan.Anobjectiveandsubjectivesyntheticapproachtodetermineweightsformultipleattributedecisionmaking[J].JournalofDecisionMakingandDecisionSupportSystems,1997,7(4):8791.[3].[M].1986.[4].[J].2004204334338.LIAOYing,XIAHai-li.Themethodoffuzzycomprehensiveevaluationappliedtobracingsystemfordeepfoundationpit[J].BulletinofScienceandTechnology,2004,20(4):334338.[5].[J].2004,25(5)737739.WANGGuang-yue.Informationentropyfuzzyanalytichierarchyprocessmodelforreta