DEVELOPMENT OF A PROPELLER ANALYSIS SOFTWARE

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1 AS 8;:5-55 EEOPE OF A PROPEER AAYSS SOFWARE Accp: cb 7 ASRA Al Ruş ÇEE zp Us Aoucl Asoucl E c@p.u. s ocu scbs popll lss sof ccl foo fco sus. lss sof o s lf l o uss oc coss-scol. s o s plo s sof s scb l publco. lo sus ucl sbl coc cossc of o s. Popll pl s cos s fco pl. s o poplls; lss sof pl copuol flu ccs lss suls cop. lss o s oo suls ccuc of coss-sco. Alou -sol s su o l l suls oo suls uc b F lss suls. s co s lu s sof c s fs pcs suls ll b usful s l fl of c. Kos: Popll Alss Sof f o Poplls Aoc. ÖZE PERAE AAİZ YAZ EİŞİRİESİ u ou lşl b p lz zılıı bll oğul çlışlı lılışı. Alz zılıı ou boulu o s sı ull şııcı çz ouu. u o bu zılı uulışı lı ol ı lılışı. oğul çlışlı ou sısl ol lılığı ıslığı ulılığı şıılışı. oğul öğ ol sl s ol p sçlş. u p lz zılıı spllı ışl ğ lz souçlı şılşıılışı. Alz ou boulu s s oğuluğu bs souçl. u çlış boulu l ısılı lı olsı ğ souçlı uuu oluç olı A lz souçlı ço souçl ğ öül. u çç ço ızlı sss souçl bu zılı ll fl lı oluç lı olcğı ğll. A Kll: P Alz Yzılıı Pl şııcı Çz o Ao. OEAURE Sbols c o of popll coss sco P coffc f coffc Ru po coffc us coffc of popll ub of bl Ac o = / Rlo p of ucl o Popll oluo p sco ps 5 p R Popll oluo p us p Popll sco pc p= Popll sps Rus Popll ub us Popll p us us foc o Popll fo loc /s Popll sul loc /s Ulss us =/R Ulss ub us = /R Sbols Al of c

2 lop of Popll Alss Sof Flo pc l =ARA / uc flo pc l =ARA + / - oc co Popll ffcc = / P =/ = / p sp o s of flu / 3 Solc/ Popll sco pc l c Popll ul loc /s Sub Sup ub of popll uc lu. ROUO s su ccl foo of "PROPEER AAYSS SOFWARE" lop b ÜİAK EYE 3635 poc ll b sf. s sof clculs pfoc of popll s b s o sol oc. o sof us s " f o" bs o o us sol oc. o c cs of ccuc ul of pl oc of osol pofl us lou bs o pol o. sol oc s pcs s possbl ll cs ccuc of suls. Fo s so pl b us sof. o bsc of pl copuol o soluos c lso b us s pofl oc. us s lo s coc us ffcs of scos copssbl ll b oul clu suls. O o o obs ol s soluos. Us f o fo lss popll s ll o o. c s cc sus [] o popll lss s os spcll us f o s o o lou s ssus bu o o o s opcs ol s [3-6]. s os us fo lss s of cf popll s ll s fo lss s of sp poplls [7] ozol ubs [8]. oo lss f o s lso o s cuo l o.. Sucu of Popll s o Ss o sucu ou f [] s sp l osso s c soucs Fu. cculo scos s lo s u ocll fo s ss o ps. so fo o ls fl s o o l c b cco o o os. fc popll s o o o f o sucu s us l Fu. ol ffc s s ols ou s c cu ll follo lcl co s cs o o ls fl. us l f lo of pop s o pus upp s lso suc. Fo s so flo Fu 3 occus fo pssu o lo pssu. l o s lso fo b s flo. l flo cos o sufcs s. Fu. Scc of o sucu ll-o s osso. Popll sc Fu. Sucu of o l ou popll. Fu 3. Flo cos occu o sufc of popll.. f Appoc fo Popll s ppoc ll b ppl o sof scb s ocu. ff ls o s ppoc possbl. u ol 6

3 lop of Popll Alss Sof ppl ppoc ll b pl. fo ls of ppoc s css o f ssupos. ssupos ppoc s follos.. Sc o ls o l o -s locs uc l co Fu lo s o cos.. Sll cful foc l co s o cos.. l o coco of o c of s s o cos Fu. fo flo s ssu o b couous.. s ccp s o flo spo sll fo bl s of popll bls. E oc spo loss zo spo ls o f.. Sc cculos o s sl l uc locs cos cos ouou cos.. s ssu popll ub s b so ffcs lc.. Alou foulos fo ool flo Rols ub flo flo of Aoc us s cl ffc.. o os sof c o pouc sc popll soluos fo of ccpcs. o c lss lbl suls lo c os. co lc of l copos. sus [67] po s copos lbl fo popll s co l. ppoc c lso b po b f o l o bl s s cul l. us l ffcs b pll copo b s ppoc. Pl ccpc cl ll lso sul clculos of focs. cus l scos ffcs us ll cs c sp s posss. s o c oc lus ou o f ppoc uos. ls of c ub of "" s Fu 8 f s follos. Z ul coos of s f s δ. Fo s of opo fs s f o z-s clculos ll b o s z-s. Fu 5. Als of popll. cculo of f o l s f s s follos s f lo ssu o fl. F poso l lus of f o ls Fu 6 Fu 7. l l l S S z Fu 6. Fol of o ls ou popll oc lus. Fu. Scc of f ppoc fo popll. 7

4 lop of Popll Alss Sof 8 Fu 7. Ppc of o l oc lus ou popll. l of f o l of us s = ul coo = +. Acco o s u co of lcl u b f o l; S S s 3 l co s; s s follos. S l of co s s follos. 5 o fo o o b o cco o ul cooo s css o us psso l= /. su of locs c ll os uc o clcl coos us pssos of E.3 E. E.5 s follos S u S u u 6 cus of spoc ccscs of ls c bo bo lcl ucl soluos ffcul. ols [3] s fs pso o f soluo o poplls b f ppoc. u olss soluo clu spcl css. l b [] s fs o sol s pobl. ul s ls o pf o b sol ucll cl [67]. locs c fo ls l fo zo o f uc ob b us pol soluo of uco follo lcl co o soluo of l cco o o- Ss l s E. 6. pol fuco of o ls l sp us of fo o + K [5] s sol s s follos. S K Z S K 7 W = = - /. K fs sco p of ssl fucos. uoo s c s cco o us. Sc pol fuco ll b scl spc o s b s ou o f + fo. o o pss sps fo pol fuco ll suffc o ob cco o bl co. lo locs c lcl o ls uc us c cco o E. 7. K K K K 8 W pss o c < "" pss ou o > "" pss lus =. o uc copuo b [] popos o plc colso spoc pso s of ssl fucos s o of s op l lu s lbl. s foulo s s follos. Y Y K W; lo Y W s ppocs s uc locs E. c b fo sl o pl lf l o.

5 lop of Popll Alss Sof 9 W. s cll uco fco cco o s ulos lus s follos..5.5 lo lo A A A 3 so suls of uco fco lus o b p so l lus blo. / S s l lus sof. s of s ob uos ol locs c f o ls uc us o popll s follos. 5 f l l locs o b spl; 6 Epssos ob..3 Foulo of Sof foulos of sof f o fo poplls bsc ls pous sco. poplls s oc of o coss scos sbuo of cculo o poplls s ob fo oc fo c pfoc lus of popll clcul. s so of sof uss sl pofl popll scos. u sucu of sof s subl o us ff scos. s lso copl o clu ulsco l o sos. o s u s pfoc clculos of poplls c o-sol oc of scos ll b pocss.. Pfoc lculo of Popll f E.6 b so uss; 7 W =/ =/. o fo l o b sl sol bl lu of = = s f s follos 8 s f s f Fou ss.. S 9

6 lop of Popll Alss Sof 5 Acco o s; S E.8 E. f subsu E. 7; fco s follo. s s bo uco fco l o. As suc uco fco c b ps s Fou ss. 3 plc s uo E. cll ll-o soluo [3] s s follos. S S S s psso s f lu /S cs of =. o l lus s pos s follos. S 5 6 E. f ss s co cc. Fo s so f ou ub of f ppocs s o b s. o of s ppoc ll b s ucll poss scos. W s ppoc E. s s follos. 7 s css o sbls los of focs o copl soluo of pobl. Fo s so f Ku-uos s s ; 8 f lf sol c/ pu plc uo; c c 9 Acco o Fu 8 f sp s subsu / / / 3 W; R R / 3 f E.3 s; 3 f / E.8 E.5 psos subsu uo S 33 psso s ob. lf foc ps o l of c s clcul b us oc bs c sco. Af css coffcs clcul ls clcul b follo fouls. b b Fu 8. Als locs of popll s sco.

7 lop of Popll Alss Sof / / / 3 35 s clculo o s buous soluo s s = l lu. foulo so f s suffc o clcul pfoc. u o o o s s css o c ucl o. Fs l lus of soul b o o ls of popll soul b. uco fco foul s s follos; / / 36 W = +. Fo c = + follo s of uos l l spl 37 s c b clcul b us E. E.3 E.. us uo s + s of uos + uo. ss of s uo c b sol of sols. s uo ss ll lso + fo c. Sc o E. E.5 c b clcul. pfoc lus us u po P us coffc po coffc P l s clcul s follos us Fu 8. S c S 38 Sll u po s clcul s follos; P S P 8 c S 39 s pssos c lso b cculo. ulss coffc fos of us po ffcc f s follos. P P 3 P 5 Acco o c uos pfoc o of pfoc clculos o popll of oc of scos ll b s follos.. ocl foo of popll flo coos: =K sco ub ub of sco o b sol.. o of l lus fo ; lculo of =/+ = 3. S of uo E.37 sols = loops. As sul; = = sol.. s clcul b us E. E s ol uo E.33. A s of uos ob b + sco s clcul b sol s s of uo. 6. uc locs clcul b us E s clcul fo E.3 E.35 o c sco l of c s clcul s ol + ol bcus ccuc of oc sll os soluo usbl. s ub lss p o ss of oc. As s ub s sll coc cs sbl s cs o. 8. İs u s sll ub f f s pos os sp os os Pfoc lus P P clcul b us E.38 E.39 E.. Fo pfoc of sof o b us ous pofls u oc ppop s. [6] s lo of pofl oc cospos o sof u. 5

8 Roluo Roluo Roluo Effcc Effcc Effcc lop of Popll Alss Sof bl. ffc of ub of scos o suls. 3 E E E E E E E E E E E bl. ffc of lo coffcs o suls. 3 E E E E E E E E E E E E E E E E E E P P ub of coss scos o suls s bl. ub of coss scos ls o polo of soluo us. ub of coss scos s o of polo fuco of soluo szs. As ub of scos css ss s c. o s cos ub of l coss-scos ll o b o ccu sul. s s s suppos o f po cu. Obousl os c cs f c cu f. o sc os po of o s s p opo s co o o -5 coss scos. As ub of coss scos css soluo of sof css locll. l sus [5] [6] f coss-sco ubs sus. ffcs of lo coffc o soluos bl. o ff coc c ff lo coffc soluos bl. As c b s f coc co s sll ou s o cobuo s lo s pc. u f coc co s l suls c s lo css. s s bcus lo coffc css cs slo o. sof sops co bcus sll cs u o s sloo sll coc co. s ou o us sll coc c s of lop sof o c coc. coc l lo coffcs s u so. co lu fo lo coffc s. bu o o ob soluo spcll lo c os lo coffc c b uc of cous coc co us lso b uc. ucl ps of coc co bl 3. suls o o c f E-5 bu s co o us E-6 of ccl suos. bl 3. ffc of coc c o suls.. AAO OF SOFWARE P. ucl Sbl ss Ps ffc ucl sbl ccuc ub of scos lo coffc coc co. U s l ucl ps c ou o ool sps.3 c o soluos of l Y sco popll 58 s-s % css o. ffc of 3 5E E E E E E E

9 Ac Ro opu Effcc opu su Effcc su su Effcc Eo Ro % /R o c c/ p/ Pc l Pc css lop of Popll Alss Sof. opso of Alss Rsuls Epl fco of sof ll b cop pl ll ucl soluos. F pl subl fo fco of sof s poblc. pl c b fou lu usull ol s o c lbl. o popll pl follo sco [] us. sof sols poplls s pofl ll scos popll. s s pl cs fo poplls. oo s poplls l ssupo of lc of l focs s..3 Popll ly Pofl of l Y coss sco f l % css o p sof F opuol Flu cs suls. As ou c s ffc b s suls sof suls os o c %. suls of F so pcul of foc c s pc sul s o F os c o sol pofl pcull ll lo Rols ubs. sof suls s pofl c sco s lu s suls oo. pc succss fo o s s ll. o o s cs u o cs ffc of oo zo spcll c os. As sul lss suls b -Sos soluos c uc o. U s l sof suls cop pl of ly sco popll f pc of.58 % css o []. oc lus of popll. As so bl pofl of popll s s f =.55 ffc ou oo zo s ssu o b lo. Also of popll =.89 s u l c ll uc succss of sof suls. bl. ly scol oc lus of popll s f pc.58 % css o []. Fu 9. Aoc of ly pofl % css o [5] copso s fo los oluo p copso bcus ffc of copssbl css oluo l. Fu 9 s o-sol pl of l Y pofl % css o. s lus fo c. us p coos pofls lo. c. bl 5 Fu cops pl bl 5. opso of sof suls pl of popll s ly sco f pc.58 % css p. opu su ASA Rpo 375 opu P P 53

10 Ac Ro opu Effcc opu opu P su Effcc su su P Effcc Eo Ro % lop of Popll Alss Sof bl 6. opso of sof suls pl of popll s RAF6 sco f pc.58 % css p. opu su ASA Rpo 375 Fu. opso of sof suls pl F lss suls of popll s ly sco f pc.58 % css.. Popll RAF5 Sco s sco sof suls cop pl [] of.58 f pc % css RAF6 sco popll. ol ffc fo pous popll of popll s pofl sco. Fo s so ocl lus of popll s bl. oc of s pofl s Fu. bl 6 Fu so copso of sof suls pl of RAF6 sco popll f pc of.58 % css o p. As c b s s ll ffc b pl suls sof suls c s sl o lys popll b o lss %. f sof suls cos o b s pofl c sco s s s suls lso oo. s lso po sof pos sbl suls o bo poplls. s s po fo succssful us of o. Fu. Aoc of ly pofl % css o [5] Fu. opso of sof suls pl F lss suls of popll s RAF6 sco f pc.58 % css o. 3. OUSO ccl foo fco sus of pop sof lop s ocu. pous sco sos suls oo pl. suls lso o succssful o F lzs lu of sof c s fs s lso cs. fc o s s pl. A fs pcs lss sof c b sfo o s sof us opzo los. s ssu s cos s subc of o publco. AKOWEEES s o; UAK EYE 3635 s suppo u poc. W soul Al AKÜRK ll UROEK plos o cobu o o bcus of cobuo lop sof. os pol UROEK cop c sus sus c ou soul lso b col. 5

11 lop of Popll Alss Sof. REFEREES [] Epps.P. Kbll R.W. Uf Roo f o oul of Sp Rsc ol. 57 o [] Floo K.. Popll Pfoc Alss Us f o s sss of sscuss su of colo u 9. [3] ols S. O o o of Sc Poplls ouc b.pl Fo..R.S. pp [] b.w. ol o Poplls F ub of ls Ab sbuo of culo Aul of Soc of l Accs Es o ob [5] K S. uc loc b lcl ocs oul of Aoucl Sccs ol [6] os P. Pl s Alss of Poplls s ss of lo Us. 99. [7] K. oc o fo Popll s Alss cu os 98. [8] Sos.. S W.Z. ucl ol of W ub Ws. Flus E ps o:.5/.736. [9] u O. Ros A. opso b bl-l ols of poplls Aoucl oul ol. o: [] clo F.R.S. Aışl ğ l Ç E Eoğ İÜ Küüps Sı [] üfüoğlu S. o-ao İÜ Küüps Sı [] Kuu P.K. o.. Flu ccs. [3] Aboz. Su. boo of cl Fucos o Publcos c. Yo. [] Woo.. Full-Scl ss of l Poplls p Sps AA Rpo [5] Sc. AA Sp W ul ss of S Popll Sco AA Rpo [6] l S.. A lo of o Rols ub Afol Fo W ub Applcos U.S. p of oc ol ccl foo Sc E AE Al Ruş ÇEE s bo 966 u. ob.sc..sc. P.. s fo sbul ccl Us Aoucs E ul s sss pofsso zp Us Aoucl Asoucl E p. 55