Modelling and multicriteria optimization of the web formation in a spunbond {processes [process] [Elektronische Ressource] / Héctor Raymundo Flores Cantú

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Modelling and MulticriteriaOptimization of the Web Formationin a Spunbond ProcessesHéctor Raymundo Flores CantúVom Fachbereich Mathematikder Technischen Universität Kaiserslauternzur Verleihung des Akademischen Grades„Doktor der Naturwissenschaften“(Doctor rerum naturalium „Dr. rer. nat.“)genehmigte Dissertation.1. Gutachter: PD Dr. habil. Karl-Heinz Küfer2. Gutachter: Prof. Dr. Andreas MeisterVollzug der Promotion: 12. Juni 2008D 386tristes....pdeornaunaojosni~tAcThomasknoGowMikiledgmenThanktswifeIMonz,wtheanatmadetoamexpresstime.melyWingratitudeantoofDr.forKarl-HeinzrequiredKmGermanuferevforeciallygivingthanmeSctheRafaelop-MicpthoortunitPy,toandwborkoptimizationinthethismeinsterestingand/orprotoject,friendstotimethefruitful,CONAwhoCYTwhen(ConsejoandNacionalmdesueredCienciaduringyAlexanderTherrer,ecnologia)Hanne,forVtheasquez,echaeloAnnomicnaterfeld,laulsuppWillyortIvinSernatheallformmemofersathescdepartmenholarshipofandITWMtooeringthealwFyraunhofertheITWMadviseforcriticism.oserinallgymewhoaourwinonderfulywtoorkplace.dIis,wenanItnottospthanktospyeciallywhoMicmorehaelmeScthishroder,steps;AbstractinThisthedissertationnondealsthewithtothedelodierenposedtmethoimizationproofntheedwcessebvformationinintinax-spuntierbosedondortproosedcessductionforpresentheoprotheductiontheofrarticialnonfabrics.
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01 janvier 2008

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21

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Modelling and Multicriteria
Optimization of the Web Formation
in a Spunbond Processes
Héctor Raymundo Flores Cantú
Vom Fachbereich Mathematik
der Technischen Universität Kaiserslautern
zur Verleihung des Akademischen Grades
„Doktor der Naturwissenschaften“
(Doctor rerum naturalium „Dr. rer. nat.“)
genehmigte Dissertation.
1. Gutachter: PD Dr. habil. Karl-Heinz Küfer
2. Gutachter: Prof. Dr. Andreas Meister
Vollzug der Promotion: 12. Juni 2008
D 386...porunaniojosnade~tristes.AcknowledgmenHanne,ofdtsWillyIswwhoanAntmemtoyexpressourmnotyAlexandergratitudeasquez,toterfeld,Dr.SernaKarl-HeinztheKoeringadviseuferyforygivingenmetothemeop-herrer,pVortunithaelyntoaulwIvorkallinersthisdepartmeninITWMterestingalwprotheject,criticism.toallthewhoCONAinCYTto(Consejois,NacionalIdespCienciayymoreTthisecnologia)ScforThomastheRafaeleceloMicnomicMonz,atholWinsuppPortMikiin,theanformandoftheabscofholarshipoptimizationandttothetheforFmeraunhoferaITWMsforrequiredoand/orerinThankgtomemafriendswmadeonderfultimewGermanorkplace.fruitful,IGowwhoanevtwhentoamthankandspeciallyeciallymMicwifehaelsueredScthanhrduringoder,time.AbstractThisdissertationinsteps;thedealsnonwiththethetoodelpdierentosedimizationmethoofprothenwedebcessformationvininatinspunx-btierondosedproortcessosedforductionthepresenprooductiontheofthearticialrfabrics.nonAandmathematicalAmowdelandofistheapprproncessaretoisalternativpresenareted.naBasedandondecisiontheThemoisdelparticulartcesswresultsofunctionskindvoflvattributesontomobofeprooptimizedaareeconsidered,linear,thoseconrelatedexwithnonthetiable.qualistrategyttyooexplorationfcontheuation,fabricpropandtothoseodescribingimatetheumericallystabilitPyfronofandtheeprodsductionpropprotocess.vigateThesetproblemsuppfallstheinmakingthecess.mpropultstrategyicriteriaappliedandadecisionpromakingproframewandork.umericalTareheted.ContentsMate.ss1.In15tro.ductiondel1Generating1.1.Moti.v.ation......for.........................e.......ce.........y.....15..1.1.2.Relatyed.Problems....Mo.......22.cess.....for...e.of...Fleece...........3.3.1..........2Fleece1.3.Multicrit.eria.and.Decision.Making..Pro.y...........2.4...............34211.4DepOutline............Deterministic.the.........3.2.1.Dep.Single.....3.2.2.Dep.Ro.....32.F.........3.3.y....6.2.The.Pro.duction.Pro.cess.11.2.1.Non.w.o36v.ens....2.3.1.Qualit.........................2.3.2.ce.Stabilit......................12172.2QualitSpunConictb.ond.Pro.cess....................18.Mathematical.del.3.1.rial.osition....................13.2.2.1.Spinn3.2iMonofgProand.W.eb.F.ormation........24.Fib.r.osition.a.Spinneret.........25.Fib13r2.2.2ositionBondingaProwcessSpinnerets.........3.2.3.the.inal.................33.Flee.Homogeneit........14.2.3.Qualit.y.of.the.Pro.cess..36.Clouds.............................iiiCONTENTS3.3.2Stripnd5.2.2.es5.1.1.ulation.uation.......Ev.....areto.....Program.........95.........n.Optimal...Distribu......39.3.3.382Ships..87.Heuristic.....h.......3.......Discrete.Error...Appro...Scalar.......ulation.78.......5.2.1..42.3.4ximationCon.trol.POptimizarameters......teger.ull.Optimization.........5.4.2.................Con.ds..........43643.4.1ximationRadialterpDistribution.Discret.ization4.4.ron.and.....70.73.Distribution..........43F3.4.2theShiftsionSyncOptimalhronization..............In.orm.......ourier...........F..44.3.5.Sensitivit.y.Analysis....Mixed.F.the.87.for.........5.4.1.Algorithm.........attern.............Nelder-Mead..44.3.5.1.The.Condition9Num.b.er..6.4.2.tin.Metho.........................4.3.Appro45a3.5.2InMoolationdel.Sensitivit.y....66.P.F.tier.ximation.Exploratio...........5.Optimization.5.1.Radial............50.3.5.3.Comparing.Analytic.vs75StoLPcormhasticforSensitiviRadialttyOptimization.5.2.Shifts........55.3.6.Optimiza.tion.of.the.Pro.c.ess..79.Mixed.teger.F.ulation...........80.F.Appro..............56.4.Optimization.with5.3MultipleullCriteriaation57.4.1.Multi.criteria.Concepts..................5.3.1.In.Program.orm.for.F.Problem.5.4.s.Scalar..........5.8.4.1.1.P90arametrizationAnofolutionarythe.P.areto.Set..........91.P.Searc..........60.4.1.2.KKT.Conditions........5.4.3.Algorithm...................9CONTENTSiii6erturbations..AionDecision.Supp.ort.System.10.3arameters6.1.Decision.Making........Results.......5...erturbations.and.....Distribution.........i...h...rac...y..104.6.1.1.MoSensitivitd.e.l7.2.1Driv.en.Decisioln.Suppotalort.Systems....i.....Homogeneit...32....105.6.2RadialP.areto.F.ronPtierAlgNa.vigation..1.areto.....8.Fixed.............Computing.............Distribution106.6.2.1.Visualization.and7.2.2ConntroleedWidgets....7.2.3.y...........7.3.aramete....106.6.2.2.Selection7.4fromthea.Database......Fixed.............7.4.2.ist.utio.........7.4.311f0ern6.2.3Nelder-W.eigh.ts.V.ariation....7.5.the.ron...........145.7.1.3.P..................1.10.6.2.412Setting7.2Goalsthe.y.....................125.Radial.P.............126.Shifts.Rotatio.a111Sp6.2.5PImpro.ving.a.V.alue128FTunctionSensitivit.......................130.Radial.P.r.zation113.7.Numerical.Results.117.7.1.Sim.u130lOptimizatationofofFleecetheyPro.cess..........1.7.4.1.Shifts.........................132.Fixed118D7.1.1rDirectbSimnulation.of.the.Pro.cess........135.Numerical.o.the.att.Searc.and.Mead.orithms..120.7.1.2.F.aster.Ev.aluations..........37.T.king.P.F.tier...................140.Conclusions1Bibliograph24147ivCONTENTSChapter1Inewn,dierentrotensitductiontensities.1.1wMotiveationlineImagineofthetsproblemesoftpaineednhting.aAslongtswwithall.ords,Itmaterialdots.esuniformlynotwseemseactothebte,athedicultcolorproblem,ybutouronlyisbbrushecausetItrahatvotheretnotpainyappliedetspspbrusheoci

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