Content uploaded by Torbjørn Cunis
Author content
All content in this area was uploaded by Torbjørn Cunis on Nov 17, 2018
Content may be subject to copyright.
UVYTHSÅPNO[LU]LSVWL
Z[Y\J[\YHSÅPNO[LU]LSVWL
ZHMLÅPNO[LU]LSVWL
HWWYVHJO
30
KPZZPWH[P]L3`HW\UV]M\UJ[PVU
HUNSLVMH[[HJR
WP[JOYH[LZ
-30-45 -15 0 15 45
0
75
150
-75
-150
LSSPWZVPKHSLZ[PTH[PVU
AERODYNAMICS
;VYIQ¥YU*\UPZ:HYHO.S\ZJOP[a
;YH]LSSPUN I` HPYWSHUL [OLZL KH`Z PZ ZPNUPÄJHU[S` ZHMLY [OHU WHY[PJPWH[PVU
PU YVHK [YHɉJ @L[ HSILP[ YHYL HPYJYHM[ HJJPKLU[Z HYL VM[LU MH[HS (JJVYKPUN [V
0(;( PUJPKLU[Z VM PUÅPNO[ SVZZVMJVU[YVS HYL [OL ¸OPNOLZ[ YPZR VM H]PH[PVU
ZHML[`¹ MVY [OLPY SHYNL JVU[YPI\[PVU [V H]PH[PVU MH[HSP[PLZ >P[O TVKLYU HPYJYHM[Z
ILPUN JVTWSL_ J`ILYWO`ZPJHS Z`Z[LTZ LUNPULLYZ HUK YLZLHYJOLYZ ^VYR
[V PTWYV]L [OL \UKLYZ[HUKPUN VM YPZRZ HUK [V [HJRSL [OLT ;OL HPYJYHM[Z
VM[VTVYYV^^PSSILHISL[VWYV]PKLN\PKHUJLHUKHZZPZ[HUJL[V[OLPYWPSV[ZHUK
PMULJLZZHY`[HRLV]LYMYVT[OLT
MODELING & IDENTIFICATION
-VY HUHS`ZPZ HUK JVU[YVS HU HJJ\YH[L TVKLS HUK [OLYLMVYL H
WYVWLY PKLU[PÄJH[PVUVM [OL HPYJYHM[ K`UHTPJZ HYL PTWLYH[P]L 0U
[OLHPYIVYULZ`Z[LT[OLKVTPUH[PUNMVYJLZHYL[OLSPM[NLULYH[LK
I`[OL^PUNHZ^LSSHZ[OLKYHNVM[OLIVK`HUK[OLTVTLU[Z
PUK\JLK I` [OL JVU[YVS Z\YMHJLZ *SHZZPJHSS` [OLZL MVYJLZ HYL
PKLU[PÄLKPUL_[LUZP]L^PUK[\UULS L_WLYPTLU[Z" ^P[O PUJYLHZLK
WYVJLZZVYWV^LYJVTW\[LYIHZLKTL[OVKZZ\JOHZJVU[PU\V\Z
Å\PKK`UHTPJZVYHK]HUJLK]VY[L_SH[[PJLZPT\SH[PVUZOH]LYPZLU
[VPTWVY[HUJL
0U [OL UVYTHS ÅPNO[ YLNPTLZ SPULHY TVKLSZ HYV\UK [OL [YPT
JVUKP[PVUZVM[LUZ\ɉJLHZHWWYV_PTH[PVU;VJV]LYM\SSLU]LSVWL
K`UHTPJZOV^L]LYTVYL ZVWOPZ[PJH[LK TVKLSZ HYL ULJLZZHY`"
Z\JOHYLWYV]PKLKI`WVS`UVTPHSZVYTVYLYLJLU[S`T\S[P]HYPH[L
ZWSPULZBDHUKWPLJL^PZLWVS`UVTPHSTVKLSZBD
DEEP-STALL, DEPARTURE, SPIRALS
>OLU [OL ^PUNZ VM [OL HPYJYHM[ Z[HSS HUK [OL ]LOPJSL PZ UV[ PTTLKPH[LS` YLJV]LYLK
KLWHY[\YLMVSSV^ZHUK[OLHPYJYHM[LU[LYZHWVZ[Z[HSSÅPNO[YLNPTLZ\JOHZKLLWZ[HSS
ZWPYHSZHUKZWPU;OLSH[[LYHYLJOHYHJ[LYPZLKI`SHYNLVZJPSSH[PVUZVYYV[H[PVUZVMT\S[PWSL
HPYJYHM[H_LZ^OPSL[OL]LOPJSLKLZJLUKZ]LY[PJHSS`9LJV]LY`MYVT[OLZLTVKLZPZ]LY`
OHYKHUKVM[LU[OL`YLZ\S[PUHMH[HSJYHZO
TRIM CONDITIONS & REGION OF ATTRACTION
0U[YPT[OLMVYJLZHUKTVTLU[ZVU[OLHPYJYHM[SPM[KYHN[OY\Z[VM[OL
LUNPUL NYH]P[`L[J SL]LS V\[ (STVZ[ HSS JP]PS HPYSPULYZ HYL WHZZP]LS`
Z[HISL[VTVKLYH[LWLY[\YIH[PVUZVM[OLUVYTHSÅPNO[[YPTJVUKP[PVUZ;OL
THUPMVSKVM[OLZ[H[LZVMWLY[\YIH[PVU^OPJOSLHK[VHZ[HISLYLZWVUZL
PZJHSSLKYLNPVUVMH[[YHJ[PVUHUKP[ZLZ[PTH[PVU`PLSKZ]PHISLPUMVYTH[PVU
HIV\[HPYJYHM[ZHML[`;V Z[\K` YLNPVUZ VM H[[YHJ[PVU YLZLHYJOLYZ\ZL
4HYRV]ZPT\SH[PVUZVY3`HW\UV]Z`Z[LT[OLVY`BD
STRUCTURAL & SAFE FLIGHT ENVELOPE
-SPNO[ H[ OPNO ZWLLKZ \U\Z\HS H[[P[\KL VY SHYNL HUN\SHY YH[LZ [OYLH[LUZ [OL
Z[Y\J[\YHS PU[LNYP[` VM HU HPYWSHUL ;OL Z[Y\J[\YHS ÅPNO[ LU]LSVWL OLUJL PZ [OL
THUPMVSKVMZ[H[LZZ\JO[OH[[OLHPYWSHUL»ZZ[Y\J[\YLYLTHPUZPU[HJ[KL[LYTPULK
I`[OLZ[Y\J[\YHS KLZPNU0UVYKLY[VRLLW [OLHPYWSHULZHML[OLZ[Y\J[\YHSÅPNO[
LU]LSVWL T\Z[ UV[ IL SLM[ *VUZLX\LU[S` [OL ZTHSSLY ZHML ÅPNO[ LU]LSVWL
THUPMLZ[Z[OLIV\UKHY`\W[V^OPJO HYLJV]LY`VM [OLHPYWSHULJHUILLUZ\YLK
HUKSVZZVMJVU[YVSPZ H]VPKHISL 7YLKPJ[PUN[OLZHML ÅPNO[ LU]LSVWL ILMVYLVY
K\YPUNÅPNO[OHZILLU[OL[HZRVMZL]LYHSZ[\KPLZB·D
FLIGHT ENVELOPE PROTECTION & UPSET RECOVERY
4VKLYUHPYJYHM[ZHYLLX\PWWLK^P[OLU]LSVWLWYV[LJ[PVUHUK YLJV]LY`Z`Z[LTZ
[VLUZ\YLZHMLÅPNO[YLJV]LYMYVT\WZL[ZHUKWYL]LU[SVZZVMJVU[YVS;VKH`»Z
ÅPNO[JVTW\[LYZHYLKL]LSVWLK[VPKLU[PM`WPSV[»ZJVTTHUKZ[OH[JV\SKW\[[OL
HPYJYHM[»ZZHML[`H[YPZRHUKUV[PM`VYWYL]LU[[OLWPSV[MYVTL_LJ\[PVUBD
0MHKLWHY[\YLLNK\L[VZ[HSSJV\SKUV[ILWYL]LU[LK[OL-(((PYWSHUL-S`PUN
/HUKIVVRWYV]PKLZHIHZPJWYVJLK\YL[V[OLWPSV[ZPUVYKLY[VOH]L[OLHPYJYHM[
YLJV]LYLK4VYLV]LYH\NTLU[H[PVUZVM[OLJVJRWP[KPZWSH`OH]LILLUZ[\KPLK
^OPJON\PKL[OLWPSV[Z[OYV\NO[OLYLJV]LY`BD
STATE & STATE SPACE
;OL JVUJLW[ VM [OL Z[H[L ZWHJL PZ
M\UKHTLU[HS [V Z`Z[LT [OLVY` 6UL
[OPURZVMHSSWVZZPISLZ[H[LZVMHZ`Z[LT
MVYTPUNHTHUPMVSKHO`WLYKPTLUZPVUHS
ZWHJLLHJOKPTLUZPVUYLWYLZLU[PUN[OL
]HS\LZVMHZPUNSLZ[H[L(U`THUVL\]YL
VM [OL HPYWSHUL PZ [OLU YLWYLZLU[LKHZ
[YHQLJ[VY` [OYV\NO [OL Z[H[L ZWHJL 0M
[OLZ`Z[LTPZM\Y[OLYTVYLH\[VUVTV\Z
[OH[ PZ UVUKLNLULYH[P]L V]LY [PTL
[OLZL[YHQLJ[VYPLZHYLKL[LYTPUPZ[PJHUK
JHUUL]LYJYVZZ
.YV\WPUN JLY[HPU ZL[Z VM Z[H[LZ [V
Z\IZWHJLZ ^L TPNO[ H[[YPI\[L Z\JO
HZ ¸KLZPYLK¹ ¸ZHML¹ VY ¸KHUNLYV\Z¹
;OL Z[\K` VM [YHUZMLY HUK YLHJOHIPSP[`
VM [OLZL Z\IZWHJLZ PZ VM WHY[PJ\SHY
PU[LYLZ[ MVY [OL KPZJ\ZZPVU VM HPYJYHM[
ZHML[`
BIOGRAPHIES
;VYIQ¥YU*\UPZ PZ YLZLHYJOLY H[ 65,9( ·
;OL-YLUJO(LYVZWHJL 3HIHUKHZZVJPH[LK
^P[O [OL -YLUJO *P]PS (]PH[PVU :JOVVS
+YVULZ3HI"IV[O;V\SV\ZL-YHUJL;VYIQ¥Y U
YLJLP]LK):JKLNYLLZPUJVTW\[LYZJPLUJL
HUK HLYVZWHJL JVTW\[LY LUNPULLYPUN PU
HUK YLZWLJ[P]LS`HUK HU4:J
PU H\[VTH[PVU LUNPULLYPUN PU /PZ
YLZLHYJO PU[LYLZ[Z JV]LY HLYVZWHJL ÅPNO[
K`UHTPJZHUKJVU[YVSZ`Z[LTZ HUKJVU[YVS
[OLVY`HZ^LSS HZ[OLVY` VMO`IYPKZ`Z[LTZ
;VYIQ¥YU W\YZ\LZ H 7O+ PU HLYVZWHJL
LUNPULLYPUNHUKJVU[YVS
:HYHO .S\ZJOP[a PZ H :JPLU[PÄJ 0SS\Z[YH[VY
HUK(Y[PZ[ IHZLKPU [OL 5L[OLYSHUKZ:HYHO
YLJLP]LKH)(KLNYLLPU0U[LYHJ[P]L4LKPH
+LZPNU PU H[ [OL 9V`HS (JHKLT` VM
(Y[Z;OL/HN\LHUKYLJLU[S`NYHK\H[LK^P[O
HU4( PU:JPLU[PÄJ0SS\Z[YH[PVU MYVTA<@+
<UP]LYZP[`VM(WWSPLK:JPLUJLHUK4HHZ[YPJO[
<UP]LYZP[`/LYPU[LYLZ[Z YLÅLJ[OLY WHZZPVU
MVYHYJOHLVSVN`MVYLUZPJZO\THUHUH[VT`
HUKPSS\Z[YH[PVU
4J+VUV\NO22VSTHUV]ZR`0-HZ[*VTW\[HISL9LJV]LYHISL:L[ZHUK;OLPY<ZLMVY(PYJYHM[3VZZVM*VU[YVS/HUKSPUN1V\YUHSVM.\PKHUJL*VU[YVSHUK+`UHTPJZ
¶
5HIP/53VTIHLY[Z;AOHUN@]HU2HTWLU,*O\87KL=PZZLY**,ɈLJ[ZVM:[Y\J[\YHS-HPS\YLVU[OL:HML-SPNO[,U]LSVWLVM(PYJYHM[1V\YUHSVM.\PKHUJL
*VU[YVSHUK+`UHTPJZ¶
:[LWHU`HU=2YPZOUHR\THY2+VYHPZ.9LHYKVU:)HYSV^13HTW[VU(2/HYK`.3VZZVM*VU[YVS4P[PNH[PVU]PH7YLKPJ[P]L*\PUN1V\YUHSVM.\PKHUJL*VU
[YVSHUK+`UHTPJZ
:JO\L[:3VTIHLY[Z;(JVZ[H+2HULZOPNL1>OLLSLY2:OPZO2(\[VUVTV\Z-SPNO[,U]LSVWL,Z[PTH[PVUMVY3VZZVM*VU[YVS7YL]LU[PVU1V\YUHSVM.\PKHUJL
*VU[YVSHUK+`UHTPJZ
;LRSLZ5*OVUN]PZHS1?HYNH`,*OVL9;HSSL\Y+(/V]HRPT`HU5)LSJHZ[YV*4+LZPNUVMH-SPNO[,U]LSVWL7YV[LJ[PVU:`Z[LTMVY5(:(»Z;YHUZWVY[*SHZZ
4VKLS1V\YUHSVM.\PKHUJL*VU[YVSHUK+`UHTPJZ
3VTIHLY[Z;:JO\L[::[LWHU`HU=2HULZOPNL1/HYK`.:OPZO2/9VIPUZVU77PSV[LK:PT\SH[VY,]HS\H[PVU9LZ\S[ZVM-SPNO[7O`ZPJZ)HZLK:[HSS9LJV]LY`
.\PKHUJL0U(0((.\PKHUJL5H]PNH[PVUHUK*VU[YVS*VUMLYLUJL2PZZPTTLL<:-3!(TLYPJHU0UZ[P[\[LVM(LYVUH\[PJZHUK(Z[YVUH\[PJZ
;VS/1KL=PZZLY**:\U3.]HU2HTWLU,*O\874\S[P]HYPH[L:WSPUL)HZLK(KHW[P]L*VU[YVSVM/PNO7LYMVYTHUJL(PYJYHM[^P[O(LYVK`UHTPJ<UJLY[HPU
[PLZ1V\YUHSVM.\PKHUJL*VU[YVSHUK+`UHTPJZ ¶
*\UPZ;)\YSPVU3*VUKVTPULZ177PLJL^PZL0KLU[PÄJH[PVUHUK(UHS`ZPZVM[OL(LYVK`UHTPJ*VLɉJPLU[Z;YPT*VUKP[PVUZHUK:HML:L[ZVM[OL.LULYPJ;YHUZWVY[
4VKLS0U(0((.\PKHUJL5H]PNH[PVUHUK*VU[YVS*VUMLYLUJL2PZZPTTLL<:-3
.PSS:13V^LUILYN4/5LPSK:(2YH\ZRVWM)7\`V\.*VL[aLL,<WZL[+`UHTPJZVMHU(PYSPULY4VKLS!(5VUSPULHY)PM\YJH[PVU(UHS`ZPZ1V\YUHSVM(PYJYHM[
¶
*OHRYHIVY[`(:LPSLY7)HSHZ.15VUSPULHYYLNPVUVMH[[YHJ[PVUHUHS`ZPZMVYÅPNO[JVU[YVS]LYPÄJH[PVUHUK]HSPKH[PVU*VU[YVS,UNPULLYPUN7YHJ[PJL ¶
REFERENCES
1
2
3
4
5
7
10
how to make airplanes safer
INTRODUCTION
THE FLIGHT ENVELOPE
[HRLVɈ
JSPTI KLZJLU[
SHUKPUN
HS[P[\KLT
HS[P[\KLT
SVUNP[\KLT
SVUNP[\KLT
SH[P[\KLT
SH[P[\KLT
100
200
400
200
300
0
02
-10
-2
-20
-4
00
10
4
0
-2
10
0
20
24
[YHQLJ[VY`VMHsteep spiral B D [YHQLJ[VY`VMHperiod-three oscillatory spin B D
WPLJL^PZLWVS`UVTPHSTVKLS
HUNSLVMH[[HJR
SPM[JVLɉJPLU[
15 30 45 75
0
1
0-15
AERODYNAMICS AT STALL
;OLSPM[H^PUNNLULYH[LZPUJYLHZLZÄYZ[^P[OP[ZHUNSL[V[OLHK]HUJPUNHPY/V^L]LYH[
ZVTLWVPU[[OLstall angle of attack[OLHPYZ[YLHTKL[HJOLZMYVT[OL^PUN:\IZLX\LU[S`
PUZ\ɉJPLU[ SPM[ PZ NLULYH[LK :[HSS L]LU[Z [`WPJHSS` VJJ\Y ^OLU [OL HPYJYHM[»Z UVZL PZ
HJJPKLU[HSS`W\SSLK\W [VVMHYLNTPZSLKI` LYYVULV\ZPUZ[Y\TLU[ZVY OVYPaVU[HSVY
]LY[PJHSN\Z[ZJOHUNL[OLLU]PYVUTLU[VM[OLHPYJYHM[ZWVU[HULV\ZS`HUK\UHU[PJPWH[LK
Z[LHK`ÅV^ Z[HSSWVPU[TH_PT\TSPM[ ZLWHYH[LKÅV^
YLSH[P]L^PUK
how to make airplanes safer
HJJPKLU[Z
I`JH[LNVY`
MH[HSP[PLZ
I`JH[LNVY`
PUÅPNO[SVZZVMJVU[YVS JVU[YVSSLKÅPNO[PU[V[LYYHPU Y\U^H`[H_P^H`L_J\YZPVU V[OLY