基于正弦振动试验响应数据的模型修正方法研究

,,(100094):,,1,J,,,,,,,;,;,GARTEUR::;:GARTEURModelUPdatingusingFrequecyResPonseofSineVibrationTcstingDingJifeng,HanZengyao,ZouYuanjie(BeijingInstituteofSPaeeeraftsystemEngineering,Beijingl00094,China)Abstraet:Thesinevibrationtesting15widelyusedinsPaeeengineeringtoassessthereliabilityandsafetyofthestructureandsurveythemodalcharaeters.ModeluPdatingusingfrequencyresPonseofsinevibrationtestinghastwoadvantages:ontheonehanditeansavetimeandmoneyofreseareh,ontheotherhanditeanimProvetheresPonsePredietionPrecisionatthekcyPositionsofsPaeeeraft.InthisPaPer,frequeneyresPonsefunetion(FRF)ofsinevibrationtesting15definedfirstly.Secondly,adetailedderivationoftheuPdatingmethodusingFRFofsinevibrationtesting15given.Finally,theeffeetivenessandvalidationofthemethod15eonfirmedbyGARTEURTrussexamPle.Keywords:ModeluPdating:FRF:sinevibrationtesting:garteurtruss1.,,;[,,,,,,,,l,,(),,;,,,:(l),,,:J(1980),,,01068745862,[e-mail],514292,100094:(2),,,,,(3),,,,,,,,,,2.,,,(),[2]():()=()A0()(1),:++=f(2),f(2):.1r.we0f2+,(){(3)O)A0lresesJ,Ha){f()/()0(4),Ha():(),[,M+,e+K,():((){f()/()0}(5):()()r-I-a:(js;)(6)NO)Ha,:(,!,p,r:P,(r)a;(js,)(r),,}Ll)aj))f()/()0}!ILTrP,(),,,,,,3.,(3),,,:[M+K()()(8)(Xl,X),,An(),,tx,()J-------------()1,,()f(o,),t3J,lwe|J.0f,f(,{z()MK,:{(9),b,I(9),:,,(,{}(10)(l)(10):()()=0(11)(ll),:(l()())()=0=0(12),A,EJ:,:,Z()=()+()01(,+H(,(,+},()}(13).O).feev,eseseeL(l3)(l2)2,1,:Z()AH()+AZ,()()=o(14)nu,:nU()Z,()_gj,(15)i:Az,(){,,)-,)P,//Pi/(16),,,,(16)(14),:(),(),():!},._L/Pl/poPn/Pn}{{,=()()(),(),~(){Ll/Pl2//Pn{b}=()AH(o,)A11,l:A{u}={b}(18)(18),,j,i:::,(u))(+u)(+u)(19),,,,:f)_i=15LxoJMre=Tsr47,KreJ=KTs(20),,m,,(12)(),(18):cdrl;,_az,Red,;;:,__1.,.11,L),ma,),L,/Pl2/(/:(){(21)b}()(()())A...Jr.,!,()()(18),,,,Tikhonov,[]4.GARTEURGARTEUR3.1,72,78,3()E=0.75xlo,N/mZ,=28ookg/m,,=0.oo4m,(),Sv=o.oo6m,(),=0.003m,(),I=0.0756m”212225Rre6.1eGARTEURsctu.0.M~redDOde;O,unmeased.3.1GAEuR[,],,,SI,3.1,()5400Hz,:3.1lsl34447222733333lll22228882999100o/ofs)))100%(S)))100%(S)))))90%(I)))90o/ofl)))100%(I)))I00o/ofl)))43334444455546664777488849995000100%(I)))100o/ofl)))10%(I)))90%(I)))90o/ofl)))90%(I)))90%(I)))90o/ofl))),,,,,,(),,4.11,,,,(18)3.2,10,3.321(V),,,3.3,(21V)4.22,,,3.1GARTEUR,u,v,,,60,3.2,6.67%,3.43.521v()u,,,,(450Hz),,,,100Hz,,3.2(%)))(((((((((((V~)/V00000lll...0.004440008880.00800000034SSS222...0.003330.006660.0062226.677772SSS333...0.003330.006660.00600000073SSS444...0.0756660.00756660.0080000.5820001III555...0.0756660.007566600080000.5820002III666...0.0756660.1512220.15122200028III777...0756660.1512220.1513330.13233329III888...0.0756660.1512220.1555555.68788843I:999...0.0756660.1512220.1483333.83600044rrr1110...0.0756660.0832220.0849992,24877745III1111...0.075666000756660.0077770.18522246III1112...0.075666000756660.0078880.31755547III1113...00756660,00756660.0081110.71433348III1114...0,075666000756660.0078880.31755549III1115...0.075666000756660.0077770.18522250III3.4(21v)3.5(21u)324~4.3-,,,,,,,3.3,3.2,,60,3.63.721v,,3.3111...0.07566621III222...0.07566622III333...0.07566626lll444...0.07566627III555...0,07566654III666...0.0756666I:3.7,(21v)5.,,,,,,,;,;,GARTEUR,,,,,,M.1.Friswell,J.E.MottersheaFiniteElementModelUPdatinginStrUcturalDynarnies1KluerAeademiePublishers,1995.(ed.),l,,,20007.RM.LiJ.ZhFiniteeIementmodeluPdatingusingvibrationtestdataunderbaseexcitationIJ],journalofSoundandVibration,2007,303,P.596--613.X.G.Hua.Q,N.Y,M.K.J,AdaPtiveregularizationParameteroPtimizationinoutPut-error-basedfiniteelementmodeluPdating[J],MechaniealSystemsandSignalProeessing,2009,23,P.563579.R.M.LiD.J.Ewins,AnalytiealmodelimProvementusingfrcqueneyrePonsefunetions[J],MeehanicalSystemsandSignalProeessing,1994,8(4),P.437458.1.J1.J,..J,..J1.J2-,j411”r..r..Žr.LF..LF..L