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利用几何遗传方法优化前缘翼根延伸外形以增强飞行器升力系数和机动性英文

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利用几何遗传方法优化前缘翼根延伸的外形以增强飞行器 升力系数和机动性_英文_

AIRCRA FT L IFT A ND M A NEUVERA B IL ITY ENHA NCEM ENT
BYGENET IC GEOM ETRY O PT IM IZA T IO N O F
LEX CO NF IGURA T IO N
,A bba s L K C h en Q ia n (), , 29 , , 210016, . . Co llege o f A ero sp ace E ng inee r ingN U A A Yudao S t ree tN an jingPRC h ina
() : , A bstrac tT o enh ance th e m aneuve rab ility o f th e se lected a irc raf t m o de la standa rd gene t ic a lgo r ithm GA is

() 2. u sed a s an op t im iza t io n m e tho d fo r th e p re lim ina ry de sign o f th e
lead ingedge ex ten sio n L EX layo u tT h e ae ro 2

etho d in co n junc t io n w ith th e sem iem p ir ica l
.2015 % - 1513 % fo rm u la s o f DA T COMR e su lt s show th a t th elif t co eff ic ien t inc rea se s app ro x im a te ly fo r M ach
014-018 618 % 112, 915 % - 1510 % num be r and fo r M ach num be r and its m ax im um va lue app ro x im a te ly fo r
012-0195 . 616 % - 810 % 1- 5 M ach num be r w h en L EX is in sta lledAga in a t a lt itude s o f km o n th e tu rn ra te
.maneuve rab ility and th e co rne r sp eed h ave been ach ieved in the sub so n ic reg ime

(): 2; ; ; Key wordslead ingedge ex ten sio n L EX lif t co eff ic ientm aneuve rab ilitygene t ic a lgo r ithm
()CL C n um ber: V 211 D ocum en t code: A : 100521120 207A r t ic leID
the w in g a m o re favo rab le p re ssu re g rad ien t, so INTROD UCTIO N 5 . th a t th e sta ll is de layed T h e se vo r tex gen e ra2
()2T h e lead in gedge ex ten sio n s L EX so r som e to r s tak e th efo rm o f sm a ll f in s st ick in g up f rom o th e r ca lled st rake s a re f ille t s added to th e f ro n t , th e su rface o f th e win gju st b eh in d th e lead in g
() ′. 1o f a m o de rn f igh te r a irc raf ts w in g s see F igin ., edgeIn th is ca seth e p re ssu re is degen e ra ted o rde r to pro v ide u sab le a irf low o ve r th e w in g to , sm a

sep a ra t io n o f th e 22, co n t ro l su rface s a t h igh an g le so fa t tack typ ica l2
ll vo r t ice sw h ich en su re th e a irf low o ve r th e , avo ida s m u ch a s po ssib le th e

d in g

ha s e sp ec ia lly la rge ex 2
,sm a ll a sp ec t ra t io lif t in g su rface sro u gh ly t r ian2227, am p le s o f L EX a s w e ll a s th e Su k ho i Su th e
,gu la r in sh ap eh av in g sh a rp lead in g edge s w ith 216 229 .F f igh t in g F a lco n an d th e M igF u lc rumla rge sw eep an gle s ru n n in g f rom th e lead in g edge Som e o f L EX ae ro dynam ic d isadvan tage s a re o b2 o f th e w in g roo t to a po in t nea r th e co ckp it a lo n g , se rved du r in g f ligh t te st s and re sea rch e ssu ch a s 1

24 . , th e fu se lage In c ru isin g f ligh tth e effec t o f h igh an g le2o f2a t tack s an d b u

ffe t2 p itch in g up a t


628 . , 22L EX is m in im a lH ow eve rw h en th e an g leo fa t2 . ing W h ile m an y in ve st iga to r s h ave stu d ied tack in c rea ses a s in a do gf igh t, th e L EX sta r t s to th e app lica t io n of L EX to th e de lta w in g co n f igu2
9214 2gen e ra te a h igh sp eed vo r tex th a t rem a in s a t2 ra tio n an d recomm en ded th a t th e de lta w in g
with th e st rak e o r L EX h a s b e t te r ae ro dyn am ic tach edto th e top o f th e w in g. D u e to th e effec t s
pe rfo rm an ce th an th e de lta w in g a lo n e co n f igu ra2 ′sp r in c ip le, de sc r ib ed b y B e rno u llith e w in g
22., t io nA t a h igh an g leo fa t tack th e st ro n g L EX 2, th erefo re h a s a low p

, vo r tex stab ilize s th e m a in w in g vo r tex an d de lay s co n t in u e s to gen e ra
re ssu re zo n e o n top an d

vo r tex g ive s th e re st o f te lif t p a st th e no rm a l sta ll

-03- 12; 2007- 08- 07 2007Rece ived da te: rev is ion rece ived da te:E-m a il: la ith abba ss@ yahoo. com

win g is m o st comm o n ly app lied to sup e r so n ic ve2 1 PO TENTIAL FLOW A NALY -
,h ic le sw h ich b en ef it s f rom ch a rac te r ist ic s lik e th e— S ISPA NEL M ETHOD S, low w ave d ragth e g radu a l t ran so nic d rag r ise s
Th e too ls ro u t in e ly u sed in th e a irc raf t in du s2 an d the w e igh t low e r s du e to b e t te r w in g b en d in g

try to an a lyze po ten t ia l f low o ve r com p le te a ir2 . resistan ce an d to r sio n a l st iffn e ssA n added b en e2
craf t co n f igu ra t io n s a re th e p ro g ram s b a sed o n 22fit o f th e de lta w in g is th e h igh an g leo fa t tack
.p an e l m e tho d sT h e se m e tho d s can an a lyze a l2 ( ) typica lly 25 - 30?, a t w h ich th e m ax im um lif t
,m o st en t ire ly a rb it ra ry co n f igu ra t io n sw ith in th e. 10?22, o ccu r sA bo ve an g leo fa t tack h igh ly sep a2
.lim ita t io n s o f po ten t ia l f low com p u ta t io n sA lso rated an d stab le vo r tex f low s dom in a te th e p ic tu re

e de lta w in gT h e vo r tex ( a lte rn a t ive f ie ld d isc re t iza t io n tech n iqu e s f in
p an e l m e tho d s h ave th e d ist in c t advan tage o ve r . o n th e top su rface o f th

ing a irc raf t a re u su2 o f th e co n f igu ra t io n an d no t thro u gho u t th e ex te r2 a lly lim ited b y th e lack o f stability an d co n t ro l in 2n a l sp ace lik e th e so lu t io n o fth e fu ll N av ie r 22th e h igh an g leo fa t tack an d low sp eedf ligh t ; S to k e s equ a t io n sw h ich requ ire th e d isc re tiza t io n . , reg im eIn th is f ligh t reg im eth e a irc raf t expe r i2 . in th e w ho le f lu id dom a inT h e p an e l m e tho d s are en ce s bo th lo ss o f co n t ro l du e to co n t ro l su rfaceve ry a t t rac t ive fo r th e ro u t in e u se an d fo r th e u seb lan k e t in g a s w e ll a s e r ra t ic fo rce s an d m om en t s.o n m ed ium o r even sm a ll com p u t in g fac ilit ie s

., in du ced b y vo r tex a symm e t r ie sO f ten th e co n2 t rollab ility requ irem en t s fo r th e a irc raf t lim it th e
222,m ax im um an g leo fa t tack to a p resta ll an g leth u s e lim ina t in g f ligh t a t th e m ax im um lif t o f th e
.a irc raf tT h e n eed fo r sup e rm an eu ve rab ility re2
2quire s co n t ro lled f ligh t in th e po ststa ll reg im e fo r 5. ,. 1 fu tu re f igh te r sD u e to th e se p ro sp ec t sth e F igAirc raf t w ith st rak e s

T o com p u te su rface p re ssu re s, fo rce s, an d in f ligh t reg im e s c lo se to o r b

sea rch fo r co n t ro llab ility o f low a sp ec t ra t io w in g s

p a st f if teen yea r s , ,com b in a t io n th e sam e m a th em a t ica l m o de lin g In th is eyo n d th e sta ll h a s

pap e r, a m o d if ied th ree2d im en sio n a l
isu sed. A su itab le p an e l2 a s show n in R ef. 17 , 2low o rde r pan e l m e tho d in co n ju n c t io n w ith th e
ing m o de l is im p lem en ted fo r th e d isc re t iza t io n o f2sem iem p ir ica l fo rm u la s o f da ta com p en d ium ( ). 2.th ea irc raf t m o de l see F ig () DA T COM is u sed to e st im a te the ae ro dyn am ic


(load s o f th e com p le te a irc raf t co n f igu ra t io n fu se2
)++ . lage w in g ta ilT h e op t im a l de sign o f L EX
()layo u t p lan fo rm is ach ieved u sin g th e g lo b a lly adap tive op t im iza t io n tech no lo gy o f gen e t ic a lgo 2
(). r ithm GA Geom e t ry an d en g in e p e rfo rm an ce de ta ils of th e se lec ted sup e r so n ic a irc raf t co n f igu2

16 . 225 . R tu rbo je t en g in e a re o b ta in ed f rom R efF ig. 2 P ane l d isc re t iza t

() 22122/ra t io n M igB izF ish b edN w ith T um an sk y

io n o f se lec ted m o de l

C f T h e ave rage sk in f r ic t io n d rag co eff ic ien t /ae ro dyn am ic an d p e rfo rm

ance w ith w itho u t L EX
of th e su rface is fo u n d b y in teg ra t in g th e lo ca l fo r enh an c in g th e a irc raf t m an eu ve rab ility in th e
valu e s a lo n g th e len g th o f th e su rface co n sid2 .b a t t lea ren a

?1994-2013 China Academic Journal Electronic Publishing House. Allrights reserved.

18219 2. e red .Fo r lam in a r an d tu rb u len t t io n is o b ta inedF itn e ssp ropo r t ion a te se lec t io nf low s, th e

,is th e m o st comm o n se lec t io n m e tho d in GA f la t p la tesk in f r ic t io n co eff ic ien t s a re
11328w h e re th e n um b e r o f t im e s o f in d iv idu a l is exp ect2 ()L am in a r f low : 1 = a C f R e , ed to b e rep ro du cedan dis equ a l to it s f itn e ss d i2
20Tu rb u len t f low : v ided b y th e sum o f f itn e ss in th e pop ula t io n 01455 F i()1 f = b C 2158 2 0165()p = 3a i ( ) () lo gR e1+01144M a n 10
Fi. w h e re R e is th e R eyno ld s n um b e rFo r a w in g o f ? i=1 (?3, low a sp ec t ra t io an d in th e p re sen ted m o d2 w h ere F i is th e f itn e ss o f i an d n th e pop u la t io n ) 12, ,2e lth e a sp ec t ra t io is equ a l to th e a ir e scap 2 . , sizeTo com p u te th e op t im um L EX p lan fo rm

ssio n o f th e f itn e ss fu n c t io n is , fo rm a st ro n g vo r tex th u s c rea t in g an add it
in g a ro u n d th e sw ep t lead in g edge o r w in g t ip w ill th e fo llow in g exp re

the slop e o f th e ( ) , , de sign p a ram e te r s +L EX CL EX r t wh e re +L EX is lif t cu rve is so d iff icu lt to e st im a te th at even re2 2th e lead in gedge sw eep an g le o f L EX an d CL EX r tis f in ed w in d tu n n e l te st s can no t p red ic t th e m ax i2. /th e L EX roo t cho rdT h e upp e rlow e r va lu e s o f . , m umlif t w ith g rea t accu racyH ow eve rth e in 2 de sign va r iab les w ith add it io n a l co n st ra in t s a re c rea se in th e m axim um lif t du e to th e vo r tex fo r2 21 , 1.u sed to p e rfo rm GAa s show n in T ab le m a t io n is im po r tan t an d can b e app rox im a te ly e s2

2t im a ted w ith d iffe ren t se t s o f ch a r t s fo r a low Table 1 Upperlower l im it va

lue s of de s ign var iable s w ith /


addit iona l con stra in ts 2, w h e re vo r tex f low dom in a te s asp ec tra t io w in g .D e sign va r iab le lim it s A dd it io na lco n st ra in t s th e ae ro dyn am ic s T h e m ax im um lif t coeff ic ien t
AL EX o f lif t in g su rface s a t a su b so n ic sp eed is g iven by 0101? ?R p e rA ref5??+?90? L EX ) (() CLm ax = CLm ax ba se + ?CLmax2 0101?? R A R A ??L EX p er x m in CL EX rt x m ax 0101?b?d L EX max w h e re CLm ax an d ?CLm ax a re th e m ax im um lif t co ef2
)(. f ic ien t an d it s in c rem en tT h e va lu e s o f CLm ax ba se
xm in , x m ax a re th e m in im a l an d th e m ax im a l w h e re and ?CLm ax can b e e st im a ted f rom th e ch a r t s o f

t io w in g s
18 219 2L EX po sit io n s f rom th e b eg in n in g o f w in gfu se2 22.low a sp ec tra

sp ec t ra t ioL EX

;bL EX th e L EX sp and m ax th e co n f igu ra t io n m ax i2 R ITHM
.mum w id th an d R p e r th e p e rm issib le a rea ra t io GA is a glo b a l adap t ive m e tho d b a sed o n th e
.gen e t ic p ro ce ss o f b io lo g ica l o rgan ism sGA h a s 3 -AIRCRA FT M A NEUVERA B IL
been app lied to ae ro n au t ica l p ro b lem s in seve ra l ITYPERFO RM A NCE , w ay sin c lu d in g th e p a ram e t r ic an d co ncep tu a l de2

. sign o f a irc raf tT h e b a sic idea o f GA is to m a in2 2T h e a irc raf t lo ad fac to r

g o r som e t im e s g


(,ta in a pop u la t io n o f st r in g s o r ch rom o som e s lo ad dur in g a tu rn exp re sse s th e m an eu ve r in g o r
)w h ich a re co d in g o f a po ten t ia l so lu t io n to th e in the acce le ra t io n du e to lif t o f an a irc raf t a s a 2
mu lt ip le o f th e stan da rd acce le ra t io n du e to g rav i2 .ve st iga ted p ro b lemT h e n ew pop u la t io n is c rea t2
2)(ed b y se lec t in g ch rom o som e s f rom o ld pop u la t io n =9181 . /ty G m sFo r th e m an eu ve r in g p e rfo r2
,w ith a b ia s tow a rd f it te r m em b e r san d expo sin g , m ance o f an a irc raf tit is f requ en t ly advan tageo u s

ssib le tu rn ra te a t sm a ll ra2
( tho se rep ro du c t ive op e ra to r s u su a lly c ro sso ve r to h ave th e la rge st po

is a llow ed to slow dow n du r2

eou s tu rn ″, g w ill b e o n ly lim it2

2ed b y th e m ax im um lif t co eff ic ien t o r th e st ru c2 g - 1W α ()4 ?= 17 () W G v /. , tu ra l st ren g th o f th e a irc raf tIn th is ca seth e
wh e re W is th e w e igh t o f th e a irc raf t an d it is a a ircraf t is no t p e rm it ted to slow dow n o r lo se a lt i2
(()) = , ; fu n c t io n o f m a ss m W f m G v is th e f ree . , tu dedu r in g th e tu rnIn

a su sta in ed tu rn th e
. . 3 st ream ve lo c ityF igshow s th e fu n c t io n a l b lo ck th ru st m u st equ a l th e

d rag an d th e lif t m u st equ a l


17αd iag ram o f th e p re sen t w o rk co n ce rn ed w ith th e . g tim e s th e w e igh t T h e tu rn ra te ?is o b ta in ed
.LEX de sign a s fo llow s

Fig. 3 F unc t io na l b lo ck d iag ram o f L EX de sign
15%= 014, 1513% = 20in c rea se s to a t M a a t M a
018,618% = 112 an d fo r M a in com p a r iso n w ith 4 RESUL TS A ND DISCUSS IO NS

ssu ch a s th e sw ep t an 2 , , g leth e roo t cho rd th e sp an w ith add it io n a l co n2 st ra
() . F ig. 7 th e in it ia l b a se lin eco n f igu ra t io nshow s , T h e de sign va r iab le

laced ah ead o f th e w in g

.. 4 o f th e se lec ted a irc raf tF igshow s th e op t im um
100p a ram e te r s o b ta in ed af te r GA ru n n in g gen e r2

( )4 show s th e va r ia t io n o f f itn e ss a t io n s. F ig. a fu n c t io n du r in g th e op t im iza t io n p ro ce ss in w h ich


40. it is f ix ed af te r gen e ra t io n sT h e op t im um
(). 4 . L EX geom e t ry can b e fo u n d in F igb T o
comp u te th e po ten t ia l f low a ro u n d th e se lec ted () aF itness h isto ry o f GA, 2a irc raf tth e com p u te r p ro g ram o f the low o rde r p an e l m e tho d f rom R ef. 17 is em p lo yed. T his p ro g ram is deve lop ed b y in c rea sin g th e n um b e r o f

, p an e lsadd in g th e effec t s o f sk in f r ic t io n d rag

2the sem iem p ir ica l fo rm u la s o f DA T COM p red ic t th e lin ear p a r t o f th e lif t cu rve slop e an d th e d rag
.co eff ic ien tT h e a irc raf t lif t in th e fo rm o f fu n c2
() is p lo t ted fo r va r io u s M ach n um 2 t io n CL = f Α () b er s in F ig. 6. b E vo lu t io n o f L EX p lanfo rm p a ram e te r s
.4 F igL EX op t im um p a ram e te r s u sing GA T h e lif t fo r the m o de l w ith th e op t im um L EX

? 1994-2013 China Academic Journal Electronic Publishing House. All rights

reserved.


rat io , th e th ick n e ss ra t io an d th e lead in g edge
18sw ep t an g le a re u sed to p red ic t th e no n lin ea r
(22p a r t o f th e lif tcu rveslop e th e m ax im um lif t co 2
)eff ic ien tva r ia t io n w ith th e an g le o f a t tack a t th e

915% —15% fo r M a = 012 to 0195 w h en L EX is

su b so n ic sp eed. F ig. 8 show s an in c rea se in

to th e dep en den ce o n th e m ax im um lif t co eff i2

,. 8.c ien ta s show n in F ig

Fig. 5 P ane ling m o de ls o f a irc raf t w ith and w itho u t L EX

lift F ig. 8 A e ro dynam ic lo ad fac to r and th e m ax im um
coeff ic ien t ve r su s M ach num be r
A616 % —810 % ga in in tu rn ra te m an eu ve r L if t co eff ic ient ve r su s ang le o f a t tack a t d iffe r2 F ig. 6

( ( ) ) . 9 , , reg io n see F ig sab is ach ievedw h ich in

1 5 fo r a lt itu de s an d km an d du r in g th e su b so n ic en t M ach num be r s

turn in c rea se s in th e so 2ca lled ″co rn e r sp eed″. T h e
susta in ed lo ad fac to r can b e ach ieved b y so lv in g
the sp ec if ic ex ce ss pow e r equ a ls to ze ro acco rd in g

. 9. to th e f ligh t co n d it io n s show n in F igF rom th e , tu rn ra te d iag ram th e in te r sec t io n o f th e sta ll


limit an d th e st ru c tu ra l lim it def in e s th e co rn e r
.sp eedT h is sp eed is ve ry im po r tan t an d th e do g2
.figh t p ilo t t r ie s to reach it a s qu ick ly a s po ssib le
Th e m o de l w ith L EX can reach it s co rn e r sp eed a t
7, an a lt itu de o f km w h ich is b e t te r th an th e in i2
tia l co n f igu ra t io n. Po la r d iag ram o f m o de ls w ith andw itho u t L EX F ig.

7
5CO NCL US IO N
the po la r s o f th e a irc raf t in th e fo rm o f CL =
()(). T h e geom e t ry p lan fo rm o f L EX is op t i2 f CD T h e drag va r ia t io n s

rea so n ab le du e to h igh e r lif t effec t s o n th e in 2 m ized b a sed o n GA. In th e
in ca se o f L EX a re

nw ith th e sem iem p ir ica l fo r2

3 B e r t in J J. A e ro dynam ic s fo r eng inee r s [M . U SA :


,2002.P ren t ice H a ll
.—4 See ley BL o ca l f low co n t ro l IA irc raf t re sea rch re2, po r tspo n so red and funded by th e exp e r im en ta l a ir2 [ .: . ///c raf t a sso c ia t io n EB OL h t tp unda2
.1. , 2004.//t io no rgap r slo ca lf low p df
,, . 5 S teven A B R anda ll J SB e r t in J JIn t ro duc t io n to :[. 2 .ae ro nau t ic sa de sign p e r sp ec t ive M nd E d it io n2004. U SA : A IA A E duca t io n Se r ie s,
6L ee B H K , T ang F C. B uffe t lo ad m ea su rem en t s o n 218222[ ./an F A ve r t ica l f in a t h igh ang leo fa t tack R

455fe renceD a lla sT X U SA A IA A () a, , . 7 Yeh ia M R Gu ru sw am y P GKen GN
199222127, A IA A A IA A D ynam ic s Sp ec ia list s Co n2 2466. , , , : , 1992:

um e r ica l in2

218[. 2ve st iga t io n o f ta il buffe t o n F a irc raf t R A IA A
199222673,10th A IA A A pp lied A e ro dynam ic s Co n2
2,, , : , 1992: 573fe renceP a lo A lto CA U SA A IA A

587.

22, , . 8 A n Kuo F L an C E L ih Sh yung SA n exp e r im en2


2tal inve st iga t io n o f th e effec t o f lead ingedge ex ten2
sion s o n d irec t io na l stab ility and th e effec t ivene ss o f
[. 2199222715, 10fo rebo dy no se st rak e s R A IA A th
,A IA A A pp lied A e ro dynam ic s Co nfe renceP a lo A l2
2854.,, : , 1992: 844to CA U SA A IA A
,. So h n M H L ee K YE xp e r im en ta l inve st iga t io n o f 9
2vo r tex f low o f a yaw ed de lta w ing h av ing lead ing() b2200223267, 20[ . edge ex ten sio n R A IA A th A IA A
,. , A pp lied A e ro dynam ic s Co nfe renceS tL o u isM is2 9 F ig.V a r ia t io n o f tu rn ra te m aneuve r w ith M ach , : , 2002.sou r iU SA A IA A num be r fo r tw o a lt

inc idence vo r t ica l f low o f a de lta w ing w ith th e lead2 m u la s o f DA T COM ,
itude s , . 2 So h n M H L ee K YE ffec t s o f side slip o n th e h igh 10

evada:A IA A , . c rea se s w h en L EX is in sta lledL EX s a re m o re 11H ebba r S K , P la tze r M F , C h ang W H. Co n t ro l o f b en efic ia l fo r com b a t f igh te r a irc raf t b ecau se 22h igh incidence vo r t ica l f low o n do ub lede lta w ing s th e se a ircraf t a re m o re o f ten u n de r th e f ligh t co n2 [ . ,1997,unde rgo ing side slip J Jo u rna l o f A irc raf t , ,d it io ns w h e re L EX is m o st ly u sefu lfo r ex am p le () 34 4:5062513.

.h igh an g le o f a t tack m an eu ve r sT h e op t im iza t io n .12 V e rh aagen N GE ffec t s o f R eyno ld s num be r o n

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利用几何遗传方法化前翼根延伸的
外形以增强飞行器升力系数和机

A bba s L K
()南京航空航天大学航空宇航学院, 南京, 210016, 中国

升力系数最大提升了915%15%。在15的高度LEX km 音速,其回率得到了616%810%的提升。

板方法合方法半经验公式的改方法DAT COM
()预测外形行器机身+机翼+尾翼的空气
和最大升力系数。果表明,在前翼根存在的情况下,升关键词:
翼根延伸;升力系数;;遗传算法
:211力系数在赫数014018提升了2015%1513%, V

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