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1、Team#6019page1of32TwoDiscreteModelsabouttheSweetSpotContentsSummary..……………………………………………………………………………..1Contents………………………………………………………………………………..21.Introduction…………………………………………………………………………41.1Definitionabout“SweetSpot”…………………………………………...........51.2RestatementoftheProblem………
2、…………………………………………...51.3SurveyofPreviousResearch………………………………………….……….61.3.1RodCross:FreeBatVibrationModel…………………………….……..61.3.2A.M.Nathan&L.V.Smith:Two-springModel…………………….…62.Convention………………………………………………………………………….62.1Terminology……………………………………………………………….…..62.2Variables…
3、………………………………………………………………….…72.3Assumption………………………………………………………………….…83.COPModelasSweetSpot……………………………………………………….....83.1WhyisCOP……………………………………………………………………83.2ToFindtheCOP………………………………………………………………83.2.1AssumptionsabouttheCOPmodel……………………………………..83.2.2TheCOPModel……………………………
4、……………………………83.3ModificationoftheCOPModel………………………………………….…..113.3.1TheSpinoftheBall……………………………………………………113.3.2TheAnglebetweenBallSpeedandtheBat……………………………123.3.3MotionofInertiaModification………………….…….……………….123.4DisadvantagesoftheCOP……………………………………………………133.4.1COPisChangin
5、g……………………………………………………….133.4.2COPisnotthelocationwheremaximizetheballspeed………………14Team#6019page2of324.TheNOVModel………………..…………………………………………………14.4.1TheadvantageoftheNOVModel……………………………………………144.1.1MoreconditionintheNOVModel……………………………………..144.1.2WhyisNOV…………………………………………………
6、………….154.2TheNOVModel………………………………………………………………154.2.1VibrationEnergyoftheBat…………………………………………….154.2.2VibrationStateoftheBat………………………………………………184.2.3VibrationWaveformsandstandingwavenode………………………...194.3CoefficientofRestitution……………………………………………………..224.3.1TheDefinitionofea
7、ndtheDifferencebetweeneande……………224.3.2Thedynamicstiffnesskandhowitworks……………………………...235.FurtherDiscussion…………………………………………………………………245.1SweetZone—TheCombinationofCOPandNOV…………………………..255.2Maxperformancepoint………………………………………………………256.ApplicationoftheModel……………………………………………
8、…………….256.1CorkedBat……………………………………………………………………256.1.1changeofbatmass……………………………………………………...256.1.2chang