小美赛0奖论文范例

AbstractWebuildamathematicalmodeltodeterminetheoptimalcurveofslimlineseatsontheairplane.Inthefirstquestion,wetaketwomainfactorsintoconsideration,oneisthestandarddeviationofspineequivalentstress,whiletheotheristhedifferencebetweentheseatbackcurveandthenaturalcurveofspine.Weproposeasimplifiedmodelwhichisasystemof24rigidrodand25masspointanddistributetheweightofupperbodyoneachrodsequally.Thencarryoutforceanalysisontherodsandthemasspoint.Basedontheabovediscussion,webuildanoptimizationmodeltofindacurvetomakepassengermostcomfortable-uniformlyforced.Finally,weuseMatlabsoftwaretofigureouttheoptimalseatbackcurve.Inthesecondquestion,weputemphasisonboththepassengers’spaceandcomfort.First,westudythespacewhichisneededtobeleftforthebackpassengers.Thenweassumethatthebackplatecurvecoincideswiththebackseatcurve.Toletthebackpassengersreceivemorespace,weneedtoadjustthebackplatecurveandofcoursehavetokeepthebackseatcurveinvariant.Thus,wedealwithbackplatecurvealongwiththepadding’sshape.Obviously,thespaceforthebackpassengersgetsbetterifthebackplatecurveisadjustedandandasaresultthepaddingwillbedeeplycutdown.However,wekeepthepaddingthickerthan5cm,astheminimum,incasethefrontpassengersfeelbadifthepaddingistoothin.Consequently,howtoeliminatethiscontradictionisourmainpurpose.Fortunately,wefindadeepstudyofthemechanicalanalysisandbuildanoptimizationmodel.WiththehelpofMatlab,wefinallyfigureouttheanswer.Manymathematicalmodellayemphasisontheanswer,whileourmodelfocusonthewayofsolvingthisproblem.Ithasawiderapplication.Atthesametime,weconnectthenaturalspinecurvewiththemechanicalanalysis.Itismorescientific.Indespiteofthis,therearestillsomeshortcomings.Theweaknessofourmodelareneedtofurtherinvestigate,whichisshowninthepaper.Keywords:optimalcurvepaddingMatlaboptimizationmodelmechanicalanalysisContents1.Introduction.................................................................................................................11.1Backgroundoftheproblem...............................................................................11.2Somesolutions.................................................................................................12.TheDescriptionoftheProblem..................................................................................12.1Whatdoweneedtodo?...................................................................................12.2Thepreparationoftheproblem.........................................................................23.Models.........................................................................................................................33.1Terms,DefinitionsandSymbols......................................................................33.2Assumptions.....................................................................................................43.3TheFoundationofFirstModel........................................................................43.3.1Thequantizationofaspects........................................................................43.3.2mechanicalanalysismodel........................................................................63.3.3optimizationmodel....................................................................................83.3.4SolutionandResult...................................................................................93.3.5AnalysisoftheResult.............................................................................123.4TheFoundationofSecondModel...................................................................123.4.1Enlargespace............................................................................................123.4.2Mechanicalfactor....................................................................................133.4.3Optimizationmodel.................................................................................133.5StrengthandWeakness..................................................................................154.FutureWork..............................................................................................................164.1TheImprovementofModel...........................................................................164.2ExtraAdvice..................................................................................................175.Advertisingmaterial.................................................................................................186.References................................................................................................................191I.IntroductionInordertoindicatetheoriginoftheslimlinesseatsproblem,thefollowingbackgroundisworthmentioning.1.1BackgroundoftheproblemAirplaneisagoodchoiceforalong-termjourneybecauseofitshigh-speedandcomfort.Anairlineseatisaseatonanairlinerinwhichpassengersareaccommodatedforthedurationofthejourney.Inthepast,theairlineseatsareverybigandthick.Whenpassengerssitontheseat,theirweightwillcausethedeformationofbackresttoadapttotheirfigurewhichwillhelppassengersgetthemore