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Team6336
Page1of13
Modelforseeki
gsweetspot
AbstractUsi
ga
e
ergya
alyzi
gapproachasimplemodelisraisedforfi
di
gthe“sweetspot”a
da
alyzi
gitsparametricpropertyTosimplifytheproblemthebathitbyahighspeedballisstudiedasaca
tileverBysetupitsdy
amicmodela
de
ergyformulafi
di
gthesweetspotreducedtofi
di
gthespotwhichmi
imizethee
ergytra
sferri
gbetwee
theballa
dthebatNumericalmethodsaregive
tosolvethedy
amicalequatio
a
dcomputethetotale
ergythebatreceivedUsi
gourmodela
dalgorithmsweca
easilycalculatethepositio
ofthe“sweetspot”a
da
alyzeitsvariatio
withtheparameterssuchasthegeometricalparametersa
dphysicsco
sta
tsOurcalculatio
showsthatthee
ergytra
sferredi
tothebatismi
imizedatthepositio
22i
chesfromtheha
dleofthebatwhichmea
sthemaximumpowertra
sferredtotheballThemodelisi
excelle
tagreeme
twithexperime
taldataBycha
gi
gtheparameterssuchascrosssectio
radiusa
dmome
tofi
ertiai
themodelwealsoa
alyzedthecorki
gbata
da
alyzedthei
flue
ceofcorki
gWefi
dthatcorki
gisslighte
oughtoig
oreBecauseofthediffere
ceofde
sitya
dYou
gmodulusi
differe
tmaterialsthee
ergytra
sferredtothebatwillbecha
gedFi
allybymaki
gafigurewhichisusedtocomparethesolutio
swegetyouca
easilyfi
dthatalumi
umbatsarebettertha
thewoodbatsMaybethisiswhyMajorLeagueBaseballprohibitsmetalbatsKeywordsSweetspote
ergy
umericmethod
1
fTeam6336
Page2of13
Co
te
ts1I
troductio
……………………………………………………………………311Problemwiththesweetspota
dourmodel’sgoal…………312ModelAssumptio
………………………………………………………32ModelfortheBallBatCollisio
………………………………………………421ballbatcollisio
…………………………………………………………422E
ergyco
vert……………………………………………………………423Vibratio
ofthebat……………………………………………………524The
umericalresultsa
da
alysis…………………………………63TheCorki
geffect……………………………………………………………74Materiali
flue
ce……………………………………………………………95Summary………………………………………………………………………106Refere
ces…………………………………………………………………107Appe
dix……………………………………………………………………11
2
fTeam6336
Page3of13
1I
troductio
11Problemwiththesweetspota
dourmodel’sgoalThereisaspoto
thefatpartofabaseballbatwheremaximumpoweristrr
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