结构新型调谐质量阻尼器控制的优化和鲁棒性研究

上海交通大学硕士学位论文结构新型调谐质量阻尼器控制的优化和鲁棒性研究姓名：杜冬申请学位级别：硕士专业：固体力学指导教师：李春祥20040201-DTMDDMTMDMDTMD(MTMD)DMTMDMDTMDDTMD/DMTMD/MDTMD(DTMD/DMTMD/MDTMD)ResearchesontheoptimalityandrobustnessofnewtunedmassdampersforstructuresAbstractThreenewcontrolstrategies,referredtoasthedoubletunedmassdampers(DTMD),duallayermultipletunedmassdampers(DMTMD),andmultipledoubletunedmassdampers(MDTMD),respectively,havebeenproposedinthispaperforthevibrationcontrolofstructuresunderthegroundacceleration.ThefiveDMTMDmodelsandtenMDTMDmodelshavebeendevelopedintermsoftheexistingfindingsofthemultipletunedmassdampers(MTMD).Employingtheevaluationciteriadefined,anevaluationisperformedonthecontrolperformanceoftheDTMD/DMTMD/MDTMD(includingtheDTMD/DMTMD/MDTMDstroke).:Doubletunedmassdampers(DTMD);Duallayermultipletunedmassdampers(DMTMD);Multipledoubletunedmassdampers(MDTMD);Evaluationciteria;Robustness;Earthquakegroundmotions;Vibrationcontrol04220______“”04220042201661.1,,:;,,,,-Yao,4(1)TMD(MTMD);(2)266(3)4active-passivetunedmassdamperAPTMD3(1)23+30,(1)linearquadraticregulator,LQR(2)linearquadraticgaussianLQG3poleplacementcontrolalgorithm;4slidingmodecontrolSMC(5)H∞(6);(7);(8)ATMD,TMD,ATMD,TMDATMDTMDATMD1.21.2.1TMDXuKwokTMDTMDMcNamaraSDOFTMDXu366TMDTMDXuVickeryClarkeTMDTLCDTLCMD3TMDTMDTMDTLDTMDTLCD,5TMDTLCDTLCAC-TLDR-TLDRicciardelliTMDTMDTMD-TMDTMDWirschingYao510TMDWirschingCampbell1510TMDTMD,SladekKlingerDenHartog-TMDEI-Centro,25TMDTMDChowdhuryClarkTMDVillaverde93TMDTMDTMD466TMD(1)TMDTMDTMDTMD,TMD3TMDTMDTMDTMD,TMDTMDTMD0.286HzTMD3mTMDTMDTMD,TMD,TMDTMD2HH∞TMD1.2.2MTMDTMDTMD90oTMDTMDTMDRanaSoongTMDTMDTMDTMDTMD566,TMD3.522%4.428%,TMD21%±,10%±;21%±,10%mTMDTMD,TMDTMDTMD,TMDIwanamiSeto2TMD2TMD2TMDTMDTMD,TMDmultipletunedmassdampers,MTMDYamaguchiHarnpornchaiAbeFujino,MTMDTMDMTMD,MTMDJangid,MTMDTMDMTMD,(Kanai-TajimiMTMDKareenKlineMTMDMTMDJangidDattaMTMD,666TMDMTMDMTMDJangidMTMDLiMTMDTMDMTMDMTMD,TMDMTMDParkReedMTMDTMDuniformlydistributedmassratiosystem,UDMRS(linearlydistributedmassratiosystemLDMRSTMDMTMD,LiMTMD5MTMDDDMFADMF5MTMDTMDMTMD,MTMD,MTMDMTMD0MTMDMTMDLiMTMDMTMD()MTMDLiLiuMTMD,,8MTMD6MTMD,MTMD,MTMD7661.2.3AMD(activetunedmassdamper,AMD,AMDNagashimaShinozakiAMD(a)AMDVGFLohLinPade,KalmanAMDAMDAMDKyobashiSiewa(33m)AMDTMD,AMD1.2.4SATMDAMDATMDTMDSATMDSATMDHrovatSATMDATMDSATMDSATMDTMDAbeIgusaAbeSDOF-TMDSATMD,SATMDTMDRicciardelliTMDTMD,TMDTMDSATMDPinkaewFujinoSATMDSATMDSATMDTMD866SetarehSATMD(groundhooktunedmassdamperGHTMDGHTMDGHTMDGHTMDTMDTMDSATMD,:(1);(2);(3)SATMD1.2.5ATMDAPTMDHMD3:1activetunedmassdamper,ATMD2hybridmassdampersHMDTMD+AMDHMDAMD,HMD(3)APTMD,TMD+ATMDTMD3ATMD,,1.3:1.DTMD2.DTMDTMD/MTMDDMF,,3.,DMTMD,DMTMDMTMD4.,MDTMD,,5.DTMD/DMTMD/MDTMD,,MTMD966b6.,1.4:[1]2003,33(2):194-206.6610(TunedMassDamperTMD),Clark(1988)(MultipleTunedMassDampers,MTMD)[1,2],,MTMDTMD,TMDTMD,(DoubleTunedMassDampers,DTMD):2-1-(DTMD)Fig.2-1Analyticalmodelofthestructurewiththedoubletunedmassdampers(DTMD)2.1DTMDsx,1x,2xsm,1m2m,6611ga:()()gsssssssssamxxkxxcxkxcxm⋅-=-⋅+-⋅+⋅+⋅+⋅1111&&&&&(2.1.1)()()()()gssamxxkxxcxxkxxcxm⋅-=-⋅+-⋅+-⋅+-⋅+⋅1212212111111&&&&&&(2.1.2)()()gamxxkxxcxm⋅-=-⋅+-⋅+⋅212212222&&&&(2.1.3)Laplace,:()()gsssssssssAmXXkXXscXksXcsXm⋅-=-⋅+-⋅⋅+⋅+⋅⋅+⋅⋅11112(2.1.4)()()()()gssAmXXkXXscXXkXXscsXm⋅-=-⋅+-⋅⋅+-⋅+-⋅⋅+⋅⋅12122121111211(2.1.5)()()gAmXXkXXscsXm⋅-=-⋅+-⋅⋅+⋅⋅2122122222(2.1.6),0w(),(sw)0swgw=,g0.5~1.5,sc:11m=smm,22m=smm,111w=mk,222w=mk,101lww=,202lww=,sssmczw=02,11112zw=mc,22222zw=mc,(2.1.4),(2.1.5),(2.1.6),:()()gssssssAXXXXsXsXsX-=-+-+++120211111012020222wlmmzwlwgzw(2.1.7)()()()2122021202111110121122XXsXXXXssXss-+-+-+⋅mzwlwlmmzwlm()gAXX12120222mwlm-=-+(2.1.8)()()gAXXXXssX212202221222022222mwlmmzwlm-=-+-+(2.1.9)6612()()()()()()()⎥⎥⎥⎦⎤⎢⎢⎢⎣⎡---=⎪⎩⎪⎨⎧⎪⎭⎪⎬⎫⎥⎥⎥⎦⎤⎢⎢⎢⎣⎡gggssssssssAAAXXXIGGFBBA212100mm(2.1.10):()()()()()()()()()()()()()()()ssssssssssssssgssIBGAIFAIFGGBIBAXH22221---+-==mm(2.1.11),1m:()()()()()()()()()()()()()()sssssssssssssgsmIBGAIFAIBGAIAAXH222111--++-==mm(2.1.12)2m:()()()()()()()()()()()()()()()ssssssssssssssgsmIBGAIFABGBFAGAAXH22222122--+--==mmm(2.1.13)(2.1.10)~(2.1.13)()2021111012020222wlmmzwlwgzw++++=sssAss()2021111012wlmmzwl--=sBs()2022222022021111012122wlmmzwlwlmmzwlm++++=sssFs()2022222022wlmmzwl--=sGs()202222202222wlmmzwlm++=ssIs2.2gawsx()wiH,sw:()()()2022,wg⋅=⋅=isisHHDMF(2.2.1)1m:()()()2021211,wg⋅=⋅=imsimsmHHDMF(2.2.2)2m:6613()()()2022222,wg⋅=⋅=imsimsmHHDMF(2.2.3)2.32.3.1szm21mmm+=(2.3.1)12mmm=H(2.3.2)n01wg02wg0wgnig0.5~1.5()iDMF.max01min.max.siniigoalfunctionDMFwgwa==⎡⎤=⋅⎣⎦∑(2.3.3)iaia0wgi2l1l1z2zHm02.0=sz,03.0=mell≥21,(2.3.4-1)[)1,01∈z(2.3.4-2)[)1,02∈z2.3.4-3em≥H2.3.4-4e2l1lHm066142.3.22.3.2.1,1n=,11=a,11.0g=(2.3.5-1)1min.max.goalfunctionDMFg=⎡⎤=⎣⎦(2.3.5-2):2005211.008568101=l,2430190.932061402=l,0.01=z,6056040.198655342=z,4291880.08304528=Hm(2.3.6-1,2,3,4,5),g[]0.5,1.2max.DMF(TMDLiChunxiang[2]MTMD(5=n)DTMD,TMDMTMD1=gDMF):2-2DTMD,MTMDTMDDMF.maxFig.2-2RelationshipofDMF.maxforthestructurewiththeDTMD,MTMD,andTMD,respectively,withrespecttothedriftfrequencyratiobasedonthefirstgoalfunction6615,,1=g,DTMDMTMDTMD2-12.1,1.1,0.1,9.0,8.0,7.0,6.0=g:2-1:DTMD1=g,g(