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°´¼üÅÌÉÏ·½Ïò¼ü ¡û »ò ¡ú ¿É¿ìËÙÉÏÏ·­Ò³£¬°´¼üÅÌÉ쵀 Enter ¼ü¿É»Øµ½±¾ÊéĿ¼ҳ£¬°´¼üÅÌÉÏ·½Ïò¼ü ¡ü ¿É»Øµ½±¾Ò³¶¥²¿£¡

supplies¡¡the¡¡true¡¡answer¡£¡¡The¡¡answer¡¡lies¡¡in¡¡the

angle¡¡of¡¡movement¡¡of¡¡every¡¡wing¡¡motion£»¡¡which

is¡¡at¡¡the¡¡control¡¡of¡¡the¡¡bird£»¡¡and¡¡if¡¡this¡¡is¡¡examined

it¡¡will¡¡be¡¡found¡¡that¡¡it¡¡supplies¡¡the¡¡correct

answer¡¡to¡¡every¡¡type¡¡of¡¡wing¡¡which¡¡nature¡¡has

made¡£



AN¡¡INITIAL¡¡IMPULSE¡¡OR¡¡MOVEMENT¡¡NECESSARY¡£

Let¡¡A£»¡¡Fig¡£¡¡9£»¡¡represent¡¡the¡¡section¡¡of¡¡a¡¡bird's

wing¡£¡¡All¡¡birds£»¡¡whether¡¡of¡¡the¡¡soaring¡¡or¡¡the

flapping¡¡kind£»¡¡must¡¡have¡¡an¡¡initial¡¡forward¡¡movement

in¡¡order¡¡to¡¡attain¡¡flight¡£¡¡This¡¡impulse¡¡is

acquired¡¡either¡¡by¡¡running¡¡along¡¡the¡¡ground£»¡¡or

by¡¡a¡¡leap£»¡¡or¡¡in¡¡dropping¡¡from¡¡a¡¡perch¡£¡¡Soaring

birds¡¡cannot£»¡¡by¡¡any¡¡possibility£»¡¡begin¡¡flight£»

unless¡¡there¡¡is¡¡such¡¡a¡¡movement¡¡to¡¡change¡¡from¡¡a

position¡¡of¡¡rest¡¡to¡¡one¡¡of¡¡motion¡£



_Fig¡£¡¡9¡£¡¡Wing¡¡Movement¡¡in¡¡Flight¡£_



In¡¡the¡¡diagram£»¡¡therefore£»¡¡the¡¡bird£»¡¡in¡¡moving

forwardly£»¡¡while¡¡raising¡¡the¡¡wing¡¡upwardly£»¡¡depresses

the¡¡rear¡¡edge¡¡of¡¡the¡¡wing£»¡¡as¡¡in¡¡position

1£»¡¡and¡¡when¡¡the¡¡wing¡¡beats¡¡downwardly¡¡the¡¡rear

margin¡¡is¡¡raised£»¡¡in¡¡relation¡¡to¡¡its¡¡front¡¡margin£»

as¡¡shown¡¡in¡¡position¡¡2¡£



A¡¡WEDGING¡¡MOTION¡£Thus¡¡the¡¡bird£»¡¡by¡¡a

wedge¡­like¡¡motion£»¡¡gives¡¡a¡¡forwardly¡­propelling

action£»¡¡and¡¡as¡¡the¡¡rear¡¡margin¡¡has¡¡more¡¡or¡¡less

flexure£»¡¡its¡¡action¡¡against¡¡the¡¡air¡¡is¡¡less¡¡during¡¡its

upward¡¡beat£»¡¡and¡¡this¡¡also¡¡adds¡¡to¡¡the¡¡upward¡¡lift

of¡¡the¡¡body¡¡of¡¡the¡¡bird¡£



NO¡¡MYSTERY¡¡IN¡¡THE¡¡WAVE¡¡MOTION¡£There¡¡is

no¡¡mystery¡¡in¡¡the¡¡effect¡¡of¡¡such¡¡a¡¡wave¡­like¡¡motion£»

and¡¡it¡¡must¡¡be¡¡obvious¡¡that¡¡the¡¡humming

bird£»¡¡and¡¡like¡¡flyers£»¡¡which¡¡poise¡¡at¡¡one¡¡spot£»¡¡are

able¡¡to¡¡do¡¡so¡¡because£»¡¡instead¡¡of¡¡moving¡¡forwardly£»

or¡¡changing¡¡the¡¡position¡¡of¡¡its¡¡body¡¡horizontally£»

in¡¡performing¡¡the¡¡undulatory¡¡motion¡¡of


the¡¡wing£»¡¡it¡¡causes¡¡the¡¡body¡¡to¡¡rock£»¡¡so¡¡that¡¡at¡¡the

point¡¡where¡¡the¡¡wing¡¡joins¡¡the¡¡body£»¡¡an¡¡elliptical

motion¡¡is¡¡produced¡£



_Fig¡£¡¡10¡£¡¡Evolution¡¡of¡¡Humming¡­Bird's¡¡Wing¡£_





HOW¡¡BIRDS¡¡POISE¡¡WITH¡¡FLAPPING¡¡WINGS¡£This

is¡¡shown¡¡in¡¡Fig¡£¡¡10£»¡¡in¡¡which¡¡eight¡¡successive¡¡positions

of¡¡the¡¡wing¡¡are¡¡shown£»¡¡and¡¡wherein¡¡four

of¡¡the¡¡position£»¡¡namely£»¡¡1£»¡¡2£»¡¡3£»¡¡and¡¡4£»¡¡represent

the¡¡downward¡¡movement£»¡¡and¡¡6£»¡¡7£»¡¡8£»¡¡and¡¡9£»¡¡the

upward¡¡beat¡£



All¡¡the¡¡wing¡¡angles¡¡are¡¡such¡¡that¡¡whether¡¡the

suspension¡¡point¡¡of¡¡each¡¡wing¡¡is¡¡moving¡¡downwardly£»

or¡¡upwardly£»¡¡a¡¡support¡¡is¡¡found¡¡in¡¡some

part¡¡of¡¡the¡¡wing¡£



NARROW¡­WINGED¡¡BIRDS¡£Birds¡¡with¡¡rapid¡¡flapping

motions¡¡have¡¡comparatively¡¡narrow¡¡wings£»

fore¡¡and¡¡aft¡£¡¡Those¡¡which¡¡flap¡¡slowly£»¡¡and¡¡are

not¡¡swift¡¡flyers£»¡¡have¡¡correspondingly¡¡broader

wings¡£¡¡The¡¡broad¡¡wing¡¡is¡¡also¡¡typical¡¡of¡¡the

soaring¡¡birds¡£



But¡¡how¡¡do¡¡the¡¡latter¡¡overcome¡¡gravitation

without¡¡exercising¡¡some¡¡sort¡¡of¡¡wing¡¡movement£¿



INITIAL¡¡MOVEMENT¡¡OF¡¡SOARING¡¡BIRDS¡£Acute

observations¡¡show¡¡that¡¡during¡¡the¡¡early¡¡stages

of¡¡flight£»¡¡before¡¡speed¡¡is¡¡acquired£»¡¡they¡¡depend

on¡¡the¡¡undulating¡¡movement¡¡of¡¡the¡¡wings£»¡¡and

some¡¡of¡¡them¡¡acquire¡¡the¡¡initial¡¡motion¡¡by¡¡flapping¡£

When¡¡speed¡¡is¡¡finally¡¡attained¡¡it¡¡is¡¡difficult

for¡¡the¡¡eye¡¡to¡¡note¡¡the¡¡motion¡¡of¡¡the¡¡wings¡£



SOARING¡¡BIRDS¡¡MOVE¡¡SWIFTLY¡£Now£»¡¡the¡¡first

observation¡¡is£»¡¡that¡¡soaring¡¡birds¡¡are¡¡swiftly¡­

moving¡¡creatures¡£¡¡As¡¡they¡¡sail¡¡overhead

majestically¡¡they¡¡seem¡¡to¡¡be¡¡moving¡¡slowly¡£¡¡But

distance¡¡is¡¡deceptive¡£¡¡The¡¡soaring¡¡bird¡¡travels

at¡¡great¡¡speeds£»¡¡and¡¡this¡¡in¡¡itself¡¡should¡¡be¡¡sufficient

to¡¡enable¡¡us¡¡to¡¡cease¡¡wondering£»¡¡when¡¡it¡¡is

remembered¡¡that¡¡swift¡¡translation¡¡decreases

weight£»¡¡so¡¡that¡¡this¡¡factor¡¡does¡¡not£»¡¡under¡¡those

conditions£»¡¡operate¡¡against¡¡flight¡£



MUSCULAR¡¡ENERGY¡¡EXERTED¡¡BY¡¡SOARING¡¡BIRDS¡£

It¡¡is¡¡not¡¡conceivable¡¡that¡¡the¡¡mere¡¡will¡¡of¡¡the

bird¡¡would¡¡impel¡¡it¡¡forwardly£»¡¡without¡¡it¡¡exerted

some¡¡muscular¡¡energy¡¡to¡¡keep¡¡up¡¡its¡¡speed¡£¡¡The

distance¡¡at¡¡which¡¡the¡¡bird¡¡performs¡¡this¡¡wonderful

evolution¡¡is¡¡at¡¡such¡¡heights¡¡from¡¡the¡¡observer

that¡¡the¡¡eye¡¡cannot¡¡detect¡¡a¡¡movement¡£



WINGS¡¡NOT¡¡MOTIONLESS¡£While¡¡the¡¡wings¡¡appear

to¡¡be¡¡absolutely¡¡motionless£»¡¡it¡¡is¡¡more¡¡reasonable

to¡¡assume¡¡that¡¡a¡¡slight¡¡sinuous¡¡movement£»

or¡¡a¡¡rocking¡¡motion¡¡is¡¡constantly¡¡kept¡¡up£»¡¡which

wedges¡¡forwardly¡¡with¡¡sufficient¡¡speed¡¡to¡¡compel

momentum¡¡to¡¡maintain¡¡it¡¡in¡¡flight¡£¡¡To¡¡do¡¡so¡¡requires

but¡¡a¡¡small¡¡amount¡¡of¡¡energy¡£¡¡The¡¡head

resistance¡¡of¡¡the¡¡bird¡¡formation¡¡is¡¡reduced¡¡to¡¡a

minimum£»¡¡and¡¡at¡¡such¡¡high¡¡speeds¡¡the¡¡angle¡¡of

incidence¡¡of¡¡the¡¡wings¡¡is¡¡very¡¡small£»¡¡requiring¡¡but

little¡¡aid¡¡to¡¡maintain¡¡it¡¡in¡¡horizontal¡¡flight¡£







CHAPTER¡¡II



PRINCIPLES¡¡OF¡¡AEROPLANE¡¡FLIGHT





FROM¡¡the¡¡foregoing¡¡chapter£»¡¡while¡¡it¡¡may¡¡be

rightly¡¡inferred¡¡that¡¡power¡¡is¡¡the¡¡true¡¡secret¡¡of

aeroplane¡¡flight£»¡¡it¡¡is¡¡desirable¡¡to¡¡point¡¡out¡¡certain

other¡¡things¡¡which¡¡must¡¡be¡¡considered¡£



SPEED¡¡AS¡¡ONE¡¡OF¡¡THE¡¡ELEMENTSEvery¡¡boy£»

probably£»¡¡has¡¡at¡¡some¡¡time¡¡or¡¡other¡¡thrown¡¡small

flat¡¡stones£»¡¡called¡¡¡¨skippers¡£¡¨¡¡He¡¡has¡¡noticed

that¡¡if¡¡they¡¡are¡¡particularly¡¡thin£»¡¡and¡¡large¡¡in

diameter£»¡¡that¡¡there¡¡is¡¡a¡¡peculiar¡¡sailing¡¡motion£»

and¡¡that¡¡they¡¡move¡¡through¡¡the¡¡air¡¡in¡¡an¡¡undulating

or¡¡wave¡­like¡¡path¡£



Two¡¡things¡¡contribute¡¡to¡¡this¡¡motion£»¡¡one¡¡is¡¡the

size¡¡of¡¡the¡¡skipper£»¡¡relative¡¡to¡¡its¡¡weight£»¡¡and¡¡the

other¡¡is¡¡its¡¡speed¡£¡¡If¡¡the¡¡speed¡¡is¡¡slow¡¡it¡¡will

quickly¡¡wend¡¡its¡¡way¡¡to¡¡the¡¡earth¡¡in¡¡a¡¡gradual

curve¡£¡¡This¡¡curved¡¡line¡¡is¡¡called¡¡its¡¡trajectory¡£

If¡¡it¡¡is¡¡not¡¡very¡¡large¡¡diametrically£»¡¡in¡¡proportion

to¡¡its¡¡weight£»¡¡it¡¡will¡¡also¡¡make¡¡a¡¡gradual¡¡curve¡¡in

descending£»¡¡without¡¡¡¨skimming¡¨¡¡up¡¡and¡¡down

in¡¡its¡¡flight¡£



SHAPE¡¡AND¡¡SPEED¡£It¡¡has¡¡been¡¡observed£»¡¡also£»

that¡¡a¡¡round¡¡ball£»¡¡or¡¡an¡¡object¡¡not¡¡flattened¡¡out£»

will¡¡make¡¡a¡¡regular¡¡curved¡¡path£»¡¡whatever¡¡the

speed¡¡may¡¡be¡£



It¡¡may¡¡be¡¡assumed£»¡¡therefore£»¡¡that¡¡the¡¡shape

alone¡¡does¡¡not¡¡account¡¡for¡¡this¡¡sinuous¡¡motion£»

but¡¡that¡¡speed¡¡is¡¡the¡¡element¡¡which¡¡accounts¡¡for

it¡£¡¡Such¡¡being¡¡the¡¡case¡¡it¡¡may¡¡be¡¡well¡¡to¡¡inquire

into¡¡the¡¡peculiar¡¡action¡¡which¡¡causes¡¡a¡¡skipper

to¡¡dart¡¡up¡¡and¡¡down£»¡¡and¡¡why¡¡the¡¡path¡¡thus

formed¡¡grows¡¡more¡¡and¡¡more¡¡accentuated¡¡as¡¡the

speed¡¡increases¡£



As¡¡will¡¡be¡¡more¡¡fully¡¡described¡¡in¡¡a¡¡later¡¡chapter£»

the¡¡impact¡¡of¡¡air¡¡against¡¡a¡¡moving¡¡body¡¡does

not¡¡increase¡¡in¡¡proportion¡¡to¡¡its¡¡speed£»¡¡but¡¡in¡¡the

ratio¡¡of¡¡the¡¡square¡¡of¡¡the¡¡speed¡£



WHAT¡¡SQUARE¡¡OF¡¡THE¡¡SPEED¡¡MEANS¡£In¡¡mathematics

a¡¡figure¡¡is¡¡squared¡¡when¡¡it¡¡is¡¡multiplied

by¡¡itself¡£¡¡Thus£»¡¡4¡¡X¡¡4=¡¡16£»¡¡5¡¡X¡¡5¡¡=¡¡25£»¡¡and¡¡so

on£»¡¡so¡¡that¡¡16¡¡is¡¡the¡¡square¡¡of¡¡4£»¡¡and¡¡25¡¡the¡¡square

of¡¡5¡£¡¡It¡¡has¡¡been¡¡found¡¡that¡¡a¡¡wind¡¡moving¡¡at¡¡the

speed¡¡of¡¡20¡¡miles¡¡an¡¡hour¡¡has¡¡a¡¡striking¡¡or¡¡pushing

force¡¡of¡¡2¡¡pounds¡¡on¡¡every¡¡square¡¡foot¡¡of¡¡surface¡£



If¡¡the¡¡wind¡¡travels¡¡twice¡¡as¡¡fast£»¡¡or¡¡40¡¡miles

an¡¡hour£»¡¡the¡¡pushing¡¡force¡¡is¡¡not¡¡4¡¡pounds£»¡¡but

8¡¡pounds¡£¡¡If¡¡the¡¡speed¡¡is¡¡60¡¡miles¡¡an¡¡hour¡¡the

pushing¡¡force¡¡increases¡¡to¡¡18¡¡pounds¡£



ACTION¡¡OF¡¡A¡¡SKIPPER¡£When¡¡the¡¡skipper¡¡leaves

the¡¡hands¡¡of¡¡the¡¡thrower¡¡it¡¡goes¡¡through¡¡the¡¡air

in¡¡such¡¡a¡¡way¡¡that¡¡its¡¡fiat¡¡surface¡¡is¡¡absolutely

on¡¡a¡¡line¡¡with¡¡the¡¡direction¡¡in¡¡which¡¡it¡¡is¡¡projected¡£



At¡¡first¡¡it¡¡moves¡¡through¡¡the¡¡air¡¡solely¡¡by¡¡force

of¡¡the¡¡power¡¡which¡¡impels¡¡it£»¡¡and¡¡does¡¡not¡¡in¡¡any

way¡¡depend¡¡on¡¡the¡¡air¡¡to¡¡hold¡¡it¡¡up¡£¡¡See¡¡Fig¡£

1£»¡¡in¡¡which¡¡A¡¡represents¡¡the¡¡line¡¡of¡¡projection£»

and¡¡B¡¡the¡¡disk¡¡in¡¡its¡¡flight¡£



_Fig¡£¡¡11¡£¡¡A¡¡Skipper¡¡in¡¡Flight¡£_



After¡¡it¡¡has¡¡traveled¡¡a¡¡certain¡¡distance£»¡¡and

the¡¡force¡¡decreases£»¡¡it¡¡begins¡¡to¡¡descend£»¡¡thus¡¡describing

the¡¡line¡¡C£»¡¡Fig¡£¡¡1£»¡¡the¡¡disk¡¡B£»¡¡in¡¡this¡¡case

descending£»¡¡without¡¡changing¡¡its¡¡position£»¡¡which

might¡¡be¡¡described¡¡by¡¡saying¡¡that¡¡it¡¡merely¡¡settles

down¡¡to¡¡the¡¡earth¡¡without¡¡changing¡¡its¡¡plane¡£



The¡¡skipper¡¡still¡¡remains¡¡horizontal£»¡¡so¡¡that¡¡as

it¡¡moves¡¡toward¡¡the¡¡earth¡¡its¡¡flat¡¡surface£»¡¡which

is¡¡now¡¡exposed¡¡to¡¡the¡¡action¡¡of¡¡the¡¡air£»¡¡meets

with¡¡a¡¡resistance£»¡¡and¡¡this¡¡changes¡¡the¡¡angle¡¡of

the¡¡disk£»¡¡so¡¡that¡¡it¡¡will¡¡not¡¡be¡¡horizontal¡£¡¡Instead

it¡¡assumes¡¡the¡¡position¡¡as¡¡indicated¡¡at¡¡D£»

and¡¡this¡¡impinging¡¡effect¡¡against¡¡the¡¡air¡¡causes

the¡¡skipper¡¡to¡¡move¡¡upwardly¡¡along¡¡the¡¡line¡¡E£»

and¡¡having¡¡reached¡¡a¡¡certain¡¡limit£»¡¡as¡¡at£»¡¡say¡¡E£»

it¡¡automatically¡¡again¡¡changes¡¡its¡¡angle¡¡and¡¡moves

downwardly¡¡along¡¡the¡¡path¡¡F£»¡¡and¡¡thus¡¡continues

to¡¡undulate£»¡¡more¡¡or¡¡less£»¡¡dependent¡¡on¡¡the¡¡combined

action¡¡of¡¡the¡¡power¡¡and¡¡weight£»¡¡or¡¡momentum£»

until¡¡it¡¡reaches¡¡the¡¡earth¡£



It¡¡is£»¡¡therefore£»¡¡clear¡¡that¡¡the¡¡atmosphere¡¡has

an¡¡action¡¡on¡¡a¡¡plane¡¡surface£»¡¡and¡¡that¡¡the¡¡extent

of¡¡the¡¡action£»¡¡to¡¡sustain¡¡it¡¡in¡¡flight£»¡¡depends¡¡on¡¡two

things£»¡¡surface¡¡and¡¡speed¡£



Furthermore£»¡¡the¡¡greater¡¡the¡¡speed¡¡the¡¡less¡¡the

necessity¡¡for¡¡surface£»¡¡and¡¡that¡¡for¡¡gliding¡¡purposes

speed¡¡may¡¡be¡¡sacrificed£»¡¡in¡¡a¡¡large¡¡measure£»

where¡¡there¡¡is¡¡a¡¡large¡¡surface¡£



This¡¡very¡¡action¡¡of¡¡the¡¡skipper¡¡is¡¡utilized¡¡by

the¡¡aviator¡¡in¡¡volplaning£»that¡¡is£»¡¡where¡¡the

power¡¡of¡¡the¡¡engine¡¡is¡¡cut¡¡off£»¡¡either¡¡by¡¡accident£»

or¡¡designedly£»¡¡and¡¡the¡¡machine¡¡descends¡¡to¡¡the

earth£»¡¡whether¡¡in¡¡a¡¡long¡¡straight¡¡glide£»¡¡or¡¡in¡¡a

great¡¡circle¡£



As¡¡the¡¡machine¡¡nears¡¡the¡¡earth¡¡it¡¡is¡¡caused¡¡to

change¡¡the¡¡angle¡¡of¡¡flight¡¡by¡¡the¡¡control¡¡mechanism

so¡¡that¡¡it¡¡will¡¡dart¡¡upwardly¡¡at¡¡an¡¡angle£»¡¡or¡¡downwardly£»

and¡¡thus¡¡enable¡¡the¡¡pilot¡¡to¡¡sail¡¡to¡¡another

point¡¡beyond¡¡where¡¡he¡¡may¡¡safely¡¡land¡£

This¡¡changing¡¡the¡¡course¡¡of¡¡the¡¡machine¡¡so¡¡that

it¡¡will¡¡glide¡¡upwardly£»¡¡means¡¡that¡¡the¡¡incidence

of¡¡the¡¡planes¡¡has¡¡been¡¡changed¡¡to¡¡a¡¡positive

angle¡£



ANGLE¡¡OF¡¡INCIDENCE¡£In¡¡aviation¡¡this¡¡is¡¡a¡¡term

given¡¡to¡¡the¡¡position¡¡of¡¡a¡¡plane£»¡¡relative¡¡to¡¡the

air¡¡against¡¡which¡¡it¡¡impinges¡£¡¡If£»¡¡for¡¡instance£»

an¡¡aeroplane¡¡is¡¡moving¡¡through¡¡the¡¡air¡¡with¡¡the

front¡¡margin¡¡of¡¡the¡¡planes¡¡higher¡¡than¡¡their¡¡rear

margins£»¡¡it¡¡is¡¡said¡¡to¡¡have¡¡the¡¡planes¡¡at¡¡a¡¡positive

angle¡¡of¡¡incidence¡£¡¡If¡¡the¡¡rear¡¡margins¡¡are

higher¡¡than¡¡the¡¡front£»¡¡then¡¡the¡¡planes¡¡have¡¡a¡¡negative

angle¡¡of¡¡incidence¡£



The¡¡word¡¡incidence¡¡really¡¡means£»¡¡a¡¡falling

upon£»¡¡or¡¡against£»¡¡and¡¡it¡¡will¡¡be¡¡seen£»¡¡therefore£»

that¡¡the¡¡angle¡¡of¡¡incidence¡¡means¡¡the¡¡tilt¡¡of¡¡the

planes¡¡in¡¡relation¡¡to¡¡the¡¡air¡¡which¡¡strikes¡¡it¡£



Having¡¡in¡¡view£»¡¡therefore£»¡¡that¡¡the¡¡two¡¡qualities£»

namely£»¡¡speed¡¡and¡¡surface£»¡¡bear¡¡an¡¡intimate

relation¡¡with¡¡each¡¡other£»¡¡it¡¡may¡¡be¡¡understood

wherein¡¡mechanical¡¡flight¡¡is¡¡supposed¡¡to¡¡be¡¡analogous

to¡¡bird¡¡flight¡£



SPEED¡¡AND¡¡SUR
СÌáʾ£º°´ »Ø³µ [Enter] ¼ü ·µ»ØÊéÄ¿£¬°´ ¡û ¼ü ·µ»ØÉÏÒ»Ò³£¬ °´ ¡ú ¼ü ½øÈëÏÂÒ»Ò³¡£ ÔÞһϠÌí¼ÓÊéÇ©¼ÓÈëÊé¼Ü