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1、CONTENTSAbstract1IIntroduction2IIGeneralAssumptions3HIKeyTerminology3IVModelDevelopment34.144.1.144.1.244.1.344.254.2.154.2.264.2.394.394.3.194.3.2104.3.3104.4104.4.1104.4.2104.4.3104.5134.5.1134.5.2134.5.313VStrengthsandWeakness14VIConclusion15VIIReferences16VIIIAppendix16TITLEAb
2、stract♦Inouressay,wefirstdevelopabasicmodeltoaccountforthefundamentalbutimportantphenomenainbaseballgameandthenthreeimprovedmodelsforsomedetails.Whendevelopingthebasicmodel,inordertoanalyzeoverallhittingprocessclearly,wefocusonsimplifyingthepracticalproblemintoamechanicalmodel.Wer
3、esolvebasicmodelthroughthreesteps,eachstepconsideringoneimportantpartofthemodelthatgreatlyimpactsoursearchingforthe"sweetspofAfterresolvingthebasicmodel,webegintorevisethemodeltomakeitmorepractical.♦Beforeresolvingthebasicmodel,weestablishacriteriaforevaluation-theproportionofeff
4、ectiveenergytransmissionr,acriteriausedtodetermineatwhichspotofthebatthemaximumproportionofenergyoutputbyhumanistransferredtotheball.Ourthreestepsaredesignedasfollows:(1)Inourfirststep,wemainlyinvestigatetheactionprocessbetweenthesimplifiedbaseballbatandbaseball.Ignoringotherinflu
5、encialfactors,wefindone"sweetspot:(2)Inoursecondstep,ourfocusmovestotherelationshipbetweenthehandandthebat.Ignoringotherinfluencialfactors,wefindanother“sweetspof(3)Inourlaststep,weintegratemeritsofeach"sweetspot"inabovetwostepssothatwefindouta"sweetspotzone".Thenwefigureouttheva
6、riationofrin"sweetspotzone"andfindthemaximumr.♦Afterresolvingthebasicmodel,wereviseourmodelinthreeaspectstomakeitmorepractical.(1)Inourfirstimprovement,werestorethesimplifiedlineandparticlewithobjectsofdifferentshapeandfindoutthe“sweetspot^afterrevision.(2)Inoursecondimprovement,w
7、econsidertheshapechangeofthebaseballbatwhenthebathitstheballandalsocalculatethelostenergyconsumedbytheshapechangeofbatmadeofdifferentmaterial.Afterrevision,wefindthatthepositionofthepractical"sweetspot^shouldbeabitmorecloselythanthatof"sweetspot^calculatedinbasicmodeltothethinendo
8、fthebat.(3)Inourlastimprovement,w