数学建模论文美国10

《数学建模论文美国10》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。

1、FlyWithConfidenceSummaryWedevelopamodeltodesignapileofcardboardboxesforcushioning・Themodelisbasedonconservationofenergy:Thekineticenergyofthestunt-motorcyclesystemisconsumedthroughbreakingdownboxes・Wcignorethescatteringeffectoftheboxesandbeginwithanalyzingasinglebox.Wcfurtherclassifyt

2、heenergytobreakdownaboxintothreecomponents:theuppersurface,thesidesurfacesandtheverticaledges・Wccometotheconclusionthattheuppersurfaceprovidesthemainsupportingforcewhenbigboxesareusedwhiletheverticaledgesplayagreatrolewhensmallonesareused・Afterthemicroscopicanalysis,wedefinetheconcept

3、ofdensityofenergyabsorptiontorepresentthemacroscopicpropertyofthepile・Takingtheprimaryconsiderationofthemaximumimpulseapersoncanbear,alongwiththecameraeffectandcostconcerns,wecandeterminethesizeofabox.Weconceiveseveralstackingstrategiestypicalandanalyzetheirfeasibility.Weincorporateth

4、eirstrengthsintoourfinalstrategy.Wealsoexamineseveralmodificationstotheboxtoimproveitscushioningeffect.Tovalidateourmodel,weapplyittodifferentcasesandgetsomeencouragingresults.Duetothelackofaccuratedataforcardboardboxproperties,wemakeestimationbyanalogywithsimilarmaterialandstructure.

5、Theunreliabilityofdatamayjeopardizetheaccuracyofourresults.IntroductionAstuntpersonridesamotorcycle,runsoffastage,jumpsoveranelephant,landsonaboxpile,crashesin,andstopswiththecushioningeffectoftheboxes・ThissceneresemblesthatinTomorrowNeverDiesexceptthatinourmodel,anelephantisjumpedove

6、rinsteadofahelicopter.Asthestuntcoordinator,ourprimaryaimistoprotectthestuntperson.Inaddition,wcalsohavetoconsiderthecostandfilmeffect.Assumptions•Thestuntpersonandthemotorcyclearetakenasasystem.Wereferthesystemasstuntmotorcyclefromnowon.Thatmeansweignoretherelativemovementandinterac

7、tionbetweenthem.•Thestunt-motorcyclesystemisauniform-densityblock.However,duringthejump-overprocess,weonlyneedtoconsiderthemovementofitsmasscenter,soweconsiderthestuntmotorcyclesystemasamassparticle・•Thecardboardboxesaremadeofsamematerials*Inourmodel,weusethepropertiesofS-lcardboard[

8、1].We