Transmisii Mecanice( Roti Frictiune, Curele, Lant, Cablu, Roti Dintate)
Analiza angrenaj cu roti dintate
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Transcript of Analiza angrenaj cu roti dintate
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8/17/2019 Analiza angrenaj cu roti dintate
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Vekvfrsktgtfg tflekmg ’Cl. Gsgmlk‐ , KG]K
Agmuitgtfg bf @fmgekmg
Bfpgrtg`fet K.@[email protected]
GEGIKG !V "I"@"E#" AKEK#" G VEVK
GECT"EG$ !V T%#K BKE#G#" !V BKE#K BT"K
• ]tubfet, G'gpkgeu @klgk(Kustke
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Kgsk,)*+
Gegikzg mu fif`fetf aektf g ueuk gecrfegh mu
rntk bketgtf mu bketk brfptk
+. Ketr-bumfrf
@ftnbg fif`fetfinr aektf (@FA) fstf prkemkpgiui prnmfbfu bfbksmrftkzgrf utkikzgt åe `fmgekmg strumturkinr. Mnemfptui bf dgzg ke @FAmnestg ke sudbkvkzgrfg `nbfiuiuk `gtf`gtkm ke sudmn`pnefetf munr`g cfn`ftrkmg sk`pig, mgrf eu sf suprgpue, eu`ktf fif`fetf aektf.
_fetru g fvkbfetkg keufetg pgrg`ftrkinr cfn`ftrkmk gsuprgrntkinr bketgtf mu bketk brfptk s!g kemfrmgt n `nbfigrf g bnug fpruvftfke sfesui snikmktgrkk , ke mnebktkk stgtkmf g bketkinr.
"fzuitgtfif sf rffrg ig tfeskuek bf mnetgmt (pf gemurk) sk ig mfifbf kemnvnkfrf ig dgzg bketfiuk.). @-bfif utkikgtf
).+. @-bfiui fv-ivfetkm
_grg`ftrk kektkgik# `$%, z&$&', z$%, g$* bfc.
+e gmfst mgz, `nbfigrfg pgrg`ftrkmg sf gmf mu gutnrui uenrfmugtkk bftfr`kegtf prke puemtf kesfrgtf , bf gmffg sf vg kemfpf mu`nbuiui ]lgpf ” Cfefrgtkvf]lgpf Bfskce.
_fetru bfaekrfg pgrg`ftrkinrfvnivfetfk vn` sfifmtg -kmnektg
nr`uifinr (x) bke dgrg bf ns./kmksf vnr ketrnbumf pgrg`ftrkkkektkgik# eu`grui bf bketk ,z (bf tkp+etfcfr), g (bf tkp /ecif) sk`nbuiui ,` (bf tkp ?fec7t).4ntkmfkigitk pgrg`ftrk vnr bfpkebf bfgmfstk trfk pgrg`ftrk prfbfaektk prke nr`uif sgu fmugtkk mf bfaefsmcfn`ftrkg bketfiuk.
=gmg sf bnrfstf `nbkamgrfg pgrg`ftrkinr mrffgtk, ke grdnrfif bf
spfmkamgtkk, sud _grg`ftfrs sf pngtf sfifmtg prke budiu!mikm2 nrkmgrf
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bke pgrg`ftrkk mrffgtk , kgr bke frfgstrg gpgrutg sf pngtf `nbkamg gtgtbfeu`krfg pgrg`ftruiuk mgt sk vgingrfg sg.
+e mnetkeugrf, vn` mrffg nr`uif bf dgzg pfetru rgzg mfrmuiukbf bkvkzgrf(rb), rgzg mfrmuiuk bf mgp(r g), rgzg mfrmuiuk bfgzg(r), rgzg mfrmuiuk bf pkmknr(r), mgt sk pfetru rgzg bfrgmnrbgrf bf ig pkmknrui bketfiuk (!").
_rk`ui fif`fet mf ki vn` bfaek vg a rgzg mfrmuiuk bf bkvkzgrf. 4ntbke mn`gebg nr`uigs (6) vn` gifcf tkpui pgrg`ftruiuk -?fec7t,bupg mgrf vn` ketrnbumf nr`uig bnrktg , mg ke acurg gigturgtf , gbkmg #`1z3. =upg gmfigsk prkemkpku vnr a bfaektk sk mfkigitk pgrg`ftrk`nbkamgebu!sf bngr nr`uig sk geu`f#
• pfetru rgzg mfrmuiuk bf mgp rg#rb$`<
• pfetru rgzg mfrmuiuk bf dgzg r#rb%mns(g)&
• pfetru rgzg mfrmuiuk bf pkmknr r#rb'(*+%`)&
• pfetru rgzg bf rgmnrbgrf igpkmknrui bketfiuk!"#,-*+%`.
_rnaiui fvnivfetkm gi bketfiukfstf stgdkikt; pf dgzg uenr ifckbfaektf prke pfrfm7k bf puemtfmgrtfzkfef,(;b,zb), .b#r%(ske(t%pk)'mns(t%pk)%t%pk)
zb#r%(mns(t%pk)$ske(t%pk)%t%pk)._fetru g bfaek gmfstf fmugtkk , sf vg utkikzg mn`gebg .
+e mnetkeugrf bke `fekui /esfrt, vn` mrffg ue enu Cfn`ftrkmgi]ft, gbkmg ue mnrp cfn`ftrkm sud mgrf sf vnr mnetkef fif`fetfifmnestrumtkkinr cfn`ftrkmf. Fstf n `ftnbg bf g nrbneg mnestrumtkkifcfn`ftrkmf, puemtf, ikekk, pigef, s.g. ketr!ue skecur inm, ke grdnrfif bf
spfmkamgtkk, `gkpuigrfg inr, prfmu` sk `nbkamgrfg inr, gmfgstg `ftnbgakeb ngrtf famkfetg uitfrknr.8r`fgzg sg bfaek` sgsf puemtf prke ifckif pgrg`ftrkmf ;b(t)sk
zb(t)._rk`ui puemt vg a mrffgt m7kgr ke nrkckef mu mnnrbnegtfif (*,*,*)gstfi, sf gmmfsfgzg kmnektg _nket bf pf dgrg bf kestru`fetf ?krfrg`f, sfifmtgebu!sf mg tkp bf puemtf Mnnrbkegtfs._fetru bfaekrfg ur`gtnruiuk puemt , sf vg prnmfbg gstfi#
6$* ;$sf vg gmf mikm2 brfgptg sk sf gifcf 74bkt nr`uig= sk sf vg
ketrnbumf nr`uig # ;b$!figtknes2.b-4vgiugtf(,)
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6$* ;$ "figtknes9;b.Fvgiugtf(*.&)<z$ "figtknes9zb.Fvgiugtf(*.&)<
_fetru puemtui 0#6$*
;$ "figtknes9;b.Fvgiugtf(*.)
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gifcf tkpui /6ks!/ecif , ke mg`piu fif`fet , sf gifcf F6trgpni.&,gbkmg murdg >pikef f6trgpnigtf, mg sk g6g bf rntgtkf sf gifcf g6gG ,kgr pfetru bfaekrfg uec7kuiuk bf rntkrf , sf bg mikm2 brfgptg sksf gifcf 4bkt nr`uig gifcgebu!sf pgrg`ftrui a mg sk uec7k bfrntkrf./stfi s!g ffmtugt rntkrfg murdfk bf tkp >pikef (acurg
getfrkngrg).+e mnetkeugrf vn` trgsg bnug mfrmurk (mfrmui bf mgp sk bf pkmknr),gpfigeb ig mn`gebg 1krmif bf pf dgrg ?krfrg`f- Mfetrui mfrmuiuk sfstgdkifstf ke nrkckef, mg sk supnrt gifcf` pigeui BO, kemfputui mfrmuiuksf gifcf ig * bfc. , kgr sgrsktui sf gifcf ig &* bfc.."gzg mfrmuiuk sf vgbfaef prke nr`uig bfaektg getfrknr (rg).?g fi sf prnmfbfgzg sk mu mfrmui bf pkmknr , mu ndsfrvgtkg mg sf`nbkamg rgzg (r).
>f vg mrfg n rgmnrbgrf ketrf mfrmui bf pkmknr r sk prnaiui
fvnivfetkm gi bketfiuk. /pfig` mn`gebg 1nrefr bf pf dgrg ?krfrg`fgifcgeb ur`gtngrfif sftgrk# ke dgrg 1nrefr tkpf gifcf` Mnrefr nesuppnrt, fif`fetui & vg a murdg "ntgtf & ndtkeutg prke rntkrfg muuec7kui a gi murdfk spikef, fif`fetui vg a mfrmui Mkrmif. (Mfrmui bfpkmknr), supnrtui sf gifcf mfi k`pikmkt (BO), kgr rgzg sf vg bfaef mg nnr`uig, ke mgrf sf gifcf mg pgrg`ftru (").
_rnaiui ur`gtnruiuk bketf vg gvfg n rgmnrbgrf kbfetkmg, bfmk sfpngtf mrffg n sk`ftrkf gtg bf rgmnrbgrfg bfg f6kstfet gtg bf uegeu`kt pige. /mfst enu pige sf vg mrffg ig ue geu`kt uec7k gtg bf
pigeui OG sk bfpkebf bf eu`grui bf bketk,z. /stfi bf pf dgrg ?krfrg`f ,vn` gifcf dutneui _igef , bfaekeb uepige enu.+e frfgstrg gpgrutg , gifcf` mg tkp bf pige /ecif3Cnr`gi tn pigef, kgrmg g6g bf rntgtkf, gpikmg` mikm2 brfgptg sk gif6f` G /6ks.+e mg`pui"ffrfemf, mg sk rffrketg , sf bg mikm2 brfgpt sk sf gifcf pigeuiOG._fetru stgdkikrfg uec7kuiuk bf rntgtkf g pigeuiuk sf stgdkifstf bkeenu n nr`uig sk geu`f 3,bfcf gifcf
bf pf dgrg "pfrgtkne ].`ftr. , bfsm7kzgebu!sf frfgstrg >;`ftr;=faektkne. Mg sk fif`fet sf vg gifcf rgmnrbui Mnrefr.&, mg rffrketg sf vg gifcf pigeui getfrknr mrffgt _igef.&. _fetru gustgrfg mgpftfinrmfinr bnug rgmnrburk, sf vg utkikzg bf pf dgrg "pfrgtknes, uefgitg]pikt.+e frfgstrg bfsm7ksg, sf gifcf mg fif`fet bf tgkfrf murdg spikefndtkeutg prke rntkrf, "ntgtf.&, kgr mg fif`fetf bf tgkfrf (MuttkecFif`fets), sfifmtg` mfrmui (bf rgzg r) sk rgmnrbui mrffgt getfrknrMnrefr.&.>k gstfi, s!g tgkgt pgrtfg bf ns gi murdfk spikef (s!g mn`piftgtke grdnrfif bf spfmkamgtkk mu >pikt.&).
/vgeb ke vfbfrf mg eu `gk gvf` efvnkf bf fif`fetfifmnestrumtkvf (mfif 5 puemtf sk murdg spikef kektkgig),if vn` gsmuebf prkesfifmtgrfg inr sk mu mikm2 brfgptg gifcgeb ;kbf
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8r`fgzg mrffgrfg prke sk`ftrkf mfi bf!gi bnkifg prnai gi gemuiukgtg bf pigeu OG. /stfi, sf gmmfsfgzg bke enu uefgitg ].`ftr. bf pfdgrg bf uefitf "pfrgtknes. Mg fif`fet mf bnrk` sg mnpkf` prkesk`ftrkf sf gifcf >pikt.&, gbkmg fif`fetui tgkgt getfrknr, kgr mg rffrketgsf gifcf pigeui OG. >k gstfi, s!g mrffgt sk`ftrkg bnrktg. =upg npfrgtkg
bf sk`ftrkf, vg trfvuk sg tgkf` pgrtkif keutkif bke fvnivfetf, nr`gtgebbketfif prnprku!zks gi bgeturkk. /ifcf` ]pikt bf pf dgrg "pfrgtknes fif`fetui bf tgkfrf , vg a bke enu murdg >pikt.&, fif`fetui tgkftnr vg amfrmui & (bf rgzg rg).Ln` rfpftg gmfgstg npfrgtkf bf tgkfrf, bngr mg
vn` puef mg sk fif`fet bf tgkfrf murdg >;`ftr;., ndtkeutg prkesk`ftrkf g murdfk >pikt.&.Fif`fetui tgkftnr vg a gmfigsk mfrm mg sk kepgsui prfmfbfet (bf rgzg rg).+e vfbfrfg uekrkk mgpftfinr f6trf`f gif mfinr bnug murdf , sf vg bfsfegue grm bf mfrm, gstfi# sf gmtkvfgzg kestru`fetui mkrmif bf pf dgrg
?krfrg`f, mg tkp bf mfrm sfifmtg` nptkuefg :8n pnkets geb rgbkus,gbkmg mfif bnug puemtf f6trf`f sk rgzg mfrmuiuk bf mgp, rg. >fifmtg`pf rgeb mfif bnug f6trf`ktgtk, bf pf mfif bnug murdf _nket& sk _nket .Mg suppnrt, bg` mikm2 brfgptg kezneg gmtkvf g mg`puiuk ]uppnrtsk gifcf` pigeui BO. "gzg grmuiukbf mfrm vg a fcgig mu rgzgmfrmuiuk bf mgp rg, gstfi mg vn`k`puef gmfst iumru prketr!n
nr`uig._fetru pgrtfg kefrkngrggbkmg rgmnrbgrfg mfinr bnugrgmnrburk mrfgtf, sf rfpftg pgskkgetfrknr, bngr mg grmui bf mfrmsnikmktgt vg a fcgi mu r, gbkmg mu rgzg mfrmuiuk bf pkmknr. /mfst iumru sfk`puef tnt prketr!n nr`uig./stfi s!g bfaektkvgt nr`g bketfiuk. +emnetkeugrf sf vnr gsmuebf tngtf mnestrumtkkif gutgtngrf rg`gegeb pfspgtkui bf iumru bngr prnaiui bketfiuk mg ke acurg ur`gtngrf.
>k g` gues ig uitk`g ftgpg g fif`fetfinr mnestrumtkvf sk geu`f uekrfggmfstnr fif`fetf. >f gmtkvfgzg dutneui 9nke bf pf dgrg bf kestru`fetf"pfrgtknes. Mg 4if`fets tn 9nke , sf sfifmtfgzg tngtf fif`fetfif mfbftfr`keg prnaiui bketfiuk (Mnrefr.&, >;`ftr;.&, >pikt., Mkrmif. skMkrmif.:). >f vg ndsfrvg rfzuitgtui uekrkk prke gpgrktkg ke grdnrfif bfspfmkamgtkk g fif`fetuiuk Knke.&. +e vfbfrfg `uitkpikmgrkk gmfstnrfif`fetf uektf sf vg ninsk kestru`fetui 1krmuigr _gttfre bf pf dgrg!fpikmgtkne. /vgeb ke vfbfrf mg eu`grui bf mnpkk bfpkebf bf eu`gruibf bketk z , vgingrfg gmfstnr `uitkpikmgrk sf vg stgdkik prketr!n nr`uig,prke mikm2 brfgptg pf zneg gmtkvg g mg`puiuk /estgemfs sk gifcgeb 4bktnr`uig. >f vg gifcf pgrg`ftrui z, eu`grui bf bketk mg sk nr`uig. Mgtkp bf `uitkpikmgrf sf gifcf Mn`piftf mrnHe, kgr mg fif`fet bf
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rffrketg, g6g G. /mfstf mnpkk sf vnr uek bke enu ninskeb kestru`fetui 9nke bf pf dgrg "pfrgtknes, bngr mg bf bgtg gmfgstg vn` sfifmtg mg4if`fets tn 9nke Knke.& sk Mkrm_gttfre.&, gbkmg fif`fetui uektgetfrknr mu `uitkpikmgrfg gmfstukfif`fet ketr!n summfskuef bf
`gtrktf.>f ndtkef gstfi Knke.,fif`fetui aegi , prnaiui = girntkk bketgtf mkikebrkmf mu bketkbrfptk, bf nr`g ur`gtngrf.Mn`utg` ke `nbuiui _grtBfskce pfetru g `nbfig rngtgbketgtg.+e mnetkeugrf gifcf`
kestru`fetui _gb, gifcf` mgprnai mf sf vg f6trubg , Knke. , gbkmg uekrfg tuturnr fif`fetfinrndtkeutf getfrknr(sgdineui rntkk bketgtf), gifcf` ig iueck`f bff6trubgrf crnsk`fg bf :* ``. =upg mf suetf` `uitu`ktk bf sftgrkifketrnbumf , gpgsg` dutneui J.
/ `gk rg`gs bf ndtkeut cgurg bke `kinmui rntkk bketgtf.Ln` ninskpfetru gmfst iumru mn`gebg _nm0ft, ke mgrf vn` ninsk mg gbgemk`f gcgurkk igtk`fg rntkk. +e aegi, rngtg vg trfduk sg grgtf mg ke acurgur`gtngrf#
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).). @-bfiui mu pr-/i ke grm bf mfrm
"fgikzgrfg ueuk `nbfi sk`piu, bf rngtg bketgtg mkikebrkmg mu bketkbrfptk efmfsktg gprn6k`grfg prnaiuiuk fvnivfetkm mu ueui ke grm bfmfrm. >f prnpuef rfgikzgrfg uefk rntk mu z$&' bketk< `$% ``< bgeturgefbfpigsgtg< igtk`fg rntkk bf :* ``.
=fsm7kbf` n sm7ktg åe pigeui BO. 4rgsg`, mu mfetrfif åe nrkckef, 0mfrmurk mu bkg`ftrfif# .%< %< '% ?k &*% ``, gbkmg mfrmui bf pkmknr,mfrmui bf dgzg, mfrmui bf bkvkzgrf, rfspfmtkv mfrmui bf mgp. 4rgsg` ng6g, pnrekeb bke nrkckef sk kemikegtg g7I bf vfrtkmgiI mu 0.:*
(0.:$:5*3(0z)), g6I mgrf grf mfiIigit puemt bf mgpIt pf mfrmui E'%.=ke gmfst puemt bf mgpIt, bumf` n gitI g6I, tgecfetI ig mfrmui E%. Mu5ukm0 :rk`, gmf` mg gmfgstI g6I sI sf tfr`kef åe puemtui bftgecfe7I. Mu mfetrui åe gmfst puemt, bumf` ue mfr mgrf sI trfgmI prke
f6trf`ktgtfg mfifkigitf g6f, f6trf`ktgtf pigsgtI pf mfrmui bf bkvkzgrf.Mu :rk`, åebfpIrtg` bke mfrm tngtf pnr7kuekif, pfetru g `fe7kef bngrue grm mgrf sI trfgmI prke f6trf`ktgtfg g6fk vfrtkmgif ?k mgrf sI afik`ktgt bf mfrmui bf pkmknr ?k bf mfi bf mgp. /mfstg vg a ue gem gi ueukbketf. >fifmtg` gmfst grm, gpnk, mu >krrnr , rfgikzg` sk`ftrkmui iuk g7Ibf g6g vfrtkmgiI. "gmnrbg`, mu rgzf bf &.% `` (gbkmI *.%% ,bfngrfmf `nbuiui fstf % ``) mfif bnuI gemurk mu grmui E.% rI`gs.
8r`fgzI rfgikzgrfg mnrpuiuk rn7kk. _fetru gstg, åe pigeui åe mgrfg` trgsgt sm7k7g getfrkngrI, bfsm7kbf` n gitg. Mu mfetrui åe nrkckef,trgsg` ue mfrm ?k ki mnestrgecf` sI af mnkemkbfet mu ueui bketrf mfifbnuI puemtf bf f6trf` bke pIr7kif igtfrgif gif mnetururiuk bketfiuk.+f?k` bke sm7k7I, gpnk _gb,pfetru fg, pf bkstge7g bf :*``, åe sfesui pnzktkv gi g6fk6, pfetru g rfgikzg mnrpuirn7kk.
>fifmtg` sm7k7g mgrf
mne7kef mneturui bketfiuk,gpnk _gb, åe gmfig?k sfes ?kpf gmffg?k bkstge7I pf mgrfif!g` ninskt ?k ig _gb!uigetfrknr ?k vn` nd7kef uebketf.
_fetru g nd7kef åemI &bf bke7k, ninsk` n`uitkpikmgrf bf tkp 1krmuigr _gttfre. =fmk# sfifmtg`uitk`ui _gb, gpnk gmtkvg` mn`gebg bf `uitkpikmgrf. Ne mgsftI,
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k`puef` Mn`piftf MrnHe (åe _grg`ftfrs), &' bf +estgemfs, 6 /6ks mg"ffrfemf Fif`fet kgr mg _gb!ui bketfiuk.+e aegi, bgmg s!gu rfspfmtgt mu strkmtftf tntk pgskk rngtg vg trfduk sggrgtf mg ke acurg ur`gtngrf#
).4.@-bfifif m-`pgrgtf
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4.Gegikg
mu
fif`fetf /ektf_fetru g ffmtug gegikzg g` ninskt mg fpruvftf bnug rntk bketgtf
mkikebrkmf mu mgtf ue bketf mu smnpui bf g fvgiug tfeskuekif ig mnetgmt,bf kemnvnkfrf sk fvfetugifif bfpigsgrk.
_grg`ftrk kektkgik# z&$*, z$0*, `$:
4.+. Ke=ufetg bkstgetfk ketrf g2f
_rk`fif gegikzf g` mneskbfrgt cfn`ftrkg stgebgrb g bketkinr, murgzg bf rgmnrbgrf "$*,%1` , bgr s!g npfrgt mu bkstgetg ketrf g6fg$'* `` < '& `` < ' `` sk ': `` .
_fetru g$ '* `` rfzuitg mfif bf `gk ns# Okzugikzgrfg mg`puiuk bf tfeskuek(]trfss One >ksfs)
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=ke gmfstf k`gckek rfkfsf mg tfeskuekif`g6k`f suet ke zneg bf mnetgmt bketrfmfk bnk bketk ,gvgeb n vgingrf bf
gprn6k`gtkv && @_g.
Okzugikzgrfg mg`puiuk bf bfpigsgrk (Bkspigmf`fet)
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=ke bgtfif ndtkeutf rfzuitg mg fpruvftfif gu sufrkt bfnr`gtkk
ngrtf `kmk, gprngpf bf efcikgt mfg `gk `grf vgingrf akeb bf *.*&``.
Okzugikzgrfg mg`puiuk
bf tfeskuek
prkemkpgif bf kemnvnkfrf (_rkemkpgi
]trfss)
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=ke gmfstf k`gckek putf` ndsfrvg mg tfeskuekif `g6k`f (bfkemnvnkfrf gif bketkinr)gu vgingrfg bf %: @_g.
Okzugikzgrfg
tfeskuekinr bf mnetgmt
prke `nbui
?krfrg`f
Mfifigitf
bgtf pfetru vgrkgtkgtfeskuekinr skbfnr`gtkkinr ke uemtkf
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bf bkstgetg ketrf g6fif pkekneuiuk sk rntkk gu nst trfmutf ke tgdfiuiur`gtnr#
g ύfml `gx ύ prkem Bfanr`gtkg
`gxk`g ύkem pkekne ύkem rngtg
Z``P Z@_gP Z@_gPZ``P Z@_gP Z@_gP
;? 737 6?,3?,??47 7;,2 72,=
;7
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D-D- /eMufetg rgzfk bf rgmnrbgrf bf ig pkmknrui
bketfiuk
@t g ύfml `gxBfanr`gtkg
`gxk`g ύ pkekne `gx
Z!`P Z``P Z``P Z@_gP Z``P Z@_gP
4? ? ;? 737 ?,?447 4?"6=
#4? ? ;?