斜拉桥索力优化实用方法-梁鹏

31n20()311J()LNALOFNGJIUNRSITYV61.3lN(.11NOv.20()3,,(,200092):,.,.,,,,.,,.:;;;:U448.27:A:0253374X(2003)11127005PraetiealMethodofOPtimizationOfCableTensionSforCablestayedBridgesLLANGPeng,XAORucheng,ZHNGesong(DepentofBridgeEngi~ng,To1Uni~ty,Sha11ai200092,China)Abstraet:It5veryinlportantinthedesignofeable--stedbridgestofindouttheoptimumeabletensionsunderdeadloadsandinionsdiveefromeaehother.Afteracarefulreviewofexistimethodstimizationofcabletensionsforeablestedbridges,theauthorsthinkthatinflueneematrixmethod15perfeetthooretieally.Inordertopularizeitindesipractiee,apraetiealmethedofoptimizationofeabletensionswasdevelopedonthebasisofthetheoryofinflueneematrixmethod.Thispraetiealmethodwasnotonlyprovedtheoreticallybutalsovalidatedpractically.Iteanbeusedeasilyandmultisehemeseleeting15realized.It15suitableorpreliminarydesiespeeially.Keywords:1e-staybridg;rationaldlmdState;optiionoflet~ons;illflueneenntnxrlleth,.,,,,.[l,2.,,.,.,,,.,.,4::20021112:(59895410):(1977),,,.E~1:1o0Olp@hu.~11,:1.1,[3][,.,,,.,,.,.2,,.1.2,[6],.1.3,(),.,,..1.4[1,,,.,,,.1,810,,.,,3,.,,..21,(3),.,,,,.,.,(),,0,]().2El~0EAco,..,u=(1):l,E*,I*,.(1)U={M}T[B{M}(2):{M};B,,,B=diag1,,:m,,,=zE:I:,i=1,2,3,,(3){M},{T},{M}={M}+[C{T}(4):C.Cj:,{T}J,{M}[s,.127231(4)(2)U=+{M}T[B]C{T}+}T}T[eTtB]{M}+{T}TC]TBC{T}(5):{}.,U=0,=1,2,3,,l(6)(5)(6),ICT[B[C{T}+[C]TB]{M}=O(7)(7)z,(7){MO}.C],O(1OZ,r2cTe,{()(5);ds2eT,,{*()0()*,,d:(s),,(s)1;M().(8)(9)(7),}{,(S)(5),*:ds{{T}+{{*(5)M(S)*,:ds:(10)(7),.,(10).,.,,(10)({d{{d,}){T}{}E{ds{}{5}{-(11).I,/91(1,1000),,,.(10),:1,,.2.,E:(,10000),,.,,.3.(7)B,.B,.4El1,=co,.(7)B,.3,:¹.º:;;,EII/1,=1000.»,.¼,,.,..½,,.11,:44.11O88m:IO0m+100m+278m+1O88tn+278m+100m+100m=2044m,7.4.2,:¹,;º,;».:,24.060.Om,200kN.m;60.080.om,400kNm;80.012o.0m,500kN.m;r93.5213.5m,400kN.m4.3,El1000,,,.12().,34.7MN.m;,19.gMN.m;4.3MN.m.,1/n1/236,,.20181612m--6--4--20”1(h.m)Fig.IDad10admomentsunderoPtimumstate(unit:N.m)2Rg.2CabletensionsullderoPtimumstate,,,,.,3,4:¹El10,49.2MNm.ºEl10,1.74MNm.»,El10,El10,15.2MNm,33.6NINm.¼,,.4,,.,.»¼,,34.,.,El=1EAco,,..,,.,.3116141210--8--63Fig.31adloadm.nentsunderrationaldeadloadstateunitm)4Fig.4Cabletensionsunderrationaldeadloadstate5(l),,.,,(),.(2),.,.(3)El,,.(4)(}M}),.,.,,.(5),,,.,,.(6),,.,.(7),:;;.6,,,.,,.:1.D.:,1996.2]KimKs,LeeH5.Ana15oftetconfigurationsunderdead105forcablesuprtedbridges[J].Computers&srruetures,2002,79(29-30):26812692.3,.J].(),1998,26(2):120123.4wangpH,ToeTe,YangeG.ztialpeofablestayedbriage[J.lputers&struetures,1993,47(1):121123.5,,.J.,1992,11(1):113.6,.J.,1989,(3):1117.71,.J.,1989,3(1):3948.s],.J.,1992,9(1):9198.9,.J.(),1998,26(3):235240.10,.[JI.,2000,13(4);2127.11,,J.,1999,12(2):6064.