面向对象的深度搜索遗传算法及其工程应用(II)――算法验证与工程应用

2412Vol.24No.1220056ChineseJournalofRockMechanicsandEngineeringJune20052004020320040310(1971)[e-mail](II)(400041)MatlabTU473TP319A10006915(2005)12219409OBJECT-ORIENTEDDEEP-SEARCHINGGENETICALGORITHMANDITSAPPLICATIONSTOENGINEERING(II)ALGORITHMVALIDATIONANDITSAPPLICATIONSTOENGINEERINGZHOUHai-qingCHENZheng-han(DepartmentofMilitaryCivilEngineeringLogisticEngineeringUniversityofPLAChongqing400041China)AbstractThedeep-searchingstrategyoftheobject-orientedgeneticalgorithmisvalidatedbycomparingitsoptimumresultswiththecorrespondingresultsobtainedbythenonlinearconstrainedprogrammingtoolsconstrofMatlabthroughthousandsofoptimumcalculationexamples.Theresultsindicatethatthedeep-searchingstrategyofthegeneticalgorithmisvalidanditcangetthebestoptimumresultoftheproblemtothemostextent.Theprogramsofoptimizingthelandslidesupportstructureanddeepfoundationpitsupportstructureareappliedtomanypracticalengineeringtocheckuptheirperformanceofoptimizingthestructureandselectingthereasonablestructuretype.Theresultindicatesthatthesingleprogramcanwelloptimizethecorrespondingstructureandthecombinedprogramscanhelpengineerstoselectreasonabletypeofsupportstructure.Keywordssoilmechanicsobject-orienteddeep-searchinggeneticalgorithm1[1]332412.(II)•2195•2Matlabconstr3Matlab2Matlab2.1MatlabMatlab[210]Matlabconstr)(minxxf)(xG0(1)x)(xG)(xf)(xG)(xf)(xGconstrSQP(sequentialquadraticprogramming)Matlab(1)(1)(2)(2)Matlab()(3)Matlabconstrconstr[fg]=constr(funx0)(2)fgfunMx0constr3(M)[1]2.2Matlab232.2.14()Matlab(1)150.0m5.0m400.0kPa0.5450.0/m30.5m5.0m0.01α30.015.02α30.0Matlab111MatlabTable1ComparisonoftheresultsofGAandMatlabvialandslidethrustsonretainingwall/(kNm1)/(**)Matlab/Matlab(**)5035.450.8*20*1535.100.5*7.1*5.010070.221.4*15*070.200.5*17.4*17.4150105.352.0*15*10105.300.5*27.6*27.6200140.773.5*10*5140.401.3*30*30250175.694.7*25*15175.502.3*30*30300210.774.4*25*15210.603.3*30*30350246.234.4*30*30246.714.4*30*301MatlabFig.1ComparisonoftheresultsofGAandMatlabvialandslidethrustsonretainingwall2196200511Matlab(2)323Matlab242MatlabFig.2ComparisonoftheresultsofGAandMatlabviawallheightsofretainingwall3MatlabFig.3ComparisonoftheresultsofGAandMatlabviabearingcapacitiesoffoundationofretainingwall4MatlabFig.4ComparisonoftheresultsofGAandMatlabviasubgradefrictioncoefficientsforretainingwall243Matlab2.2.2Matlab55MatlabFig.5ComparisonoftheresultsofGAandMatlabvialandslidethrustsonslide-resistantpile5Matlab2.2.3Matlab66MatlabFig.6ComparisonoftheresultsofGAandMatlabvialandslidethrustsonanchoredframework6Matlab2.2.4MatlabMatlab23%Matlab2412.(II)•2197•0.955%2.3MatlabMatlabMatlabMatlabMatlabconstr2(1)(2)()2Matlab2.3.1Matlab250.0kN/m150.0m5.0m400.0kPa0.5450.0/m30.5m5.0m0.01α30.015.02α30.0Matlab2020m10m0901090901029502020mMatlabMatlabMatlab950(2MatlabTable2OptimizationresultsofMatlabmodelforgravityretainingwallcorrespondingtodifferentinitialsearchingvalues(**)[20.000.0010.00]175.5[2.67*28.66*24.83][20.000.000.00]175.5[3.46*24.23*13.54][20.000.0010.00]175.5[4.63*5.68*7.10][10.000.0010.00]175.5[2.67*28.66*24.83][10.000.000.00]175.5[3.46*24.23*13.54][10.000.0010.00]175.5[4.63*5.68*7.10][0.000.0010.00]175.5[2.67*28.66*24.83][0.000.000.00]175.5[3.46*24.23*13.54][0.000.0010.00]175.5[4.63*5.68*7.10][10.000.0010.00]175.5[5.00*7.02*2.74][10.000.000.00]175.5[5.00*2.22*2.08][10.000.0010.00]175.5[4.65*5.37*6.80][20.000.0010.00]175.5[5.00*7.02*2.74][20.000.000.00]175.5[5.00*2.22*2.08]M175.5M3)175.5Matlab2.3.2Matlab1000kN/m2.5m302.0m18.0m150.0/m323400.0/m3C20350.0/m33.0m3.04.0Matlab1100m1m233100219820053MatlabTable3OptimizationresultsofMatlabmodelforslide-resistantpilecorrespondingtodifferentinitialsearchingvalues(**)[1.002.003.00]271.23[1.02*2.37*4.06][2.004.006.00]271.23[1.44*2.37*5.77][3.006.009.00]271.23[1.96*2.37*7.86][4.008.0012.00]271.23[2.51*2.37*10.05][5.0010.0015.00]271.23[2.98*2.37*11.91][6.0012.0018.00]271.23[2.86*2.37*11.42][7.0014.0021.00]271.23[2.96*2.37*11.86][8.0016.0024.00]271.23[2.99*2.37*11.96][9.0018.0027.00]271.23[3.00*2.37*11.98][10.0020.0030.00]271.23[3.00*2.37*12.00][11.0022.0033.00]271.23[3.00*2.37*11.98][12.0024.0036.00]271.23[2.76*2.37*11.04]M271.23M100()271.23Matlab2.3.3Matlab1300kN/m10.0m75.0m150.0m35.0200.0kPa35000.0/m3C20350.0/m323400.0/m3120.0/m100.0/m31.0m6.0m1.0m6.0m35.080.0Matlab66m1m66m1m909010432114MatlabTable4OptimizationresultsofMatlabmodelforanchoredframeworkcorrespondingtodifferentinitialsearchingvalues(**)[1.001.0010.00]374.70[6.00*6.00*35.00][1.001.000.00]374.70[6.00*6.00*35.00][1.001.0010.00]374.70[6.00*6.00*35.00][1.000.0010.00]374.70[6.00*6.00*35.00][0.001.0010.00]374.70[6.00*6.00*35.00][0.001.000.00]374.70[6.00*6.00*35.00][0.001.0010.00]374.70[6.00*6.00*35.00][0.000.0010.00]374.70[6.00*6.00*35.00][1.001.0010.00]374.70[6.00*6.00*35.00][1.001.000.00]374.70[6.00*6.00*35.00][1.001.0010.00]374.70[6.00*6.00*35.00][1.000.0010.00]374.70[6.00*6.00*35.00]M374.70M3211374.70Matlab2.3.43MatlabMatlabMatlab32412.(II)•2199•3.13.1.11000kN/m302m18m3.0*4.0*8.0(3.04.08.0m)993.88[11]2.8*4.8*10.8817.6817.7%5355Table5Comparisonofcostsofdifferent