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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¿£¡

is¡¡the¡¡comparatively¡¡small¡¡head¡¡resistance£»¡¡due

to¡¡the¡¡entire¡¡absence¡¡of¡¡vertical¡¡supporting¡¡posts£»

which¡¡latter¡¡are¡¡necessary¡¡with¡¡the¡¡biplane¡¡type¡£

The¡¡bracing¡¡supports¡¡which¡¡hold¡¡the¡¡outer¡¡ends

of¡¡the¡¡planes¡¡are¡¡composed¡¡of¡¡wires£»¡¡which¡¡offer

but¡¡little¡¡resistance£»¡¡comparatively£»¡¡in¡¡flight¡£



ITS¡¡ADVANTAGES¡£Then¡¡the¡¡vertical¡¡height¡¡of

the¡¡machine¡¡is¡¡much¡¡less¡¡than¡¡in¡¡the¡¡biplane¡£¡¡As

a¡¡result¡¡the¡¡weight£»¡¡which¡¡is¡¡farther¡¡below¡¡the

supporting¡¡surface¡¡than¡¡in¡¡the¡¡biplane£»¡¡aids¡¡in

maintaining¡¡the¡¡lateral¡¡stability£»¡¡particularly

since¡¡the¡¡supporting¡¡frame¡¡is¡¡higher¡£



Usually£»¡¡for¡¡the¡¡same¡¡wing¡¡spread£»¡¡the¡¡monoplane

is¡¡narrower£»¡¡laterally£»¡¡which¡¡is¡¡a¡¡further

aid¡¡to¡¡prevent¡¡tilting¡£



ITS¡¡DISADVANTAGES¡£But¡¡it¡¡also¡¡has¡¡disadvantages

which¡¡must¡¡be¡¡apparent¡¡from¡¡its¡¡structure¡£

As¡¡all¡¡the¡¡supporting¡¡surface¡¡is¡¡concentrated

in¡¡half¡¡the¡¡number¡¡of¡¡planes£»¡¡they¡¡must

be¡¡made¡¡of¡¡greater¡¡width¡¡fore¡¡and¡¡aft£»¡¡and¡¡this£»

as¡¡we¡¡shall¡¡see£»¡¡later¡¡on£»¡¡proves¡¡to¡¡be¡¡a¡¡disadvantage¡£



It¡¡is¡¡also¡¡doubted¡¡whether¡¡the¡¡monoplane¡¡can

be¡¡made¡¡as¡¡strong¡¡structurally¡¡as¡¡the¡¡other¡¡form£»

owing¡¡to¡¡the¡¡lack¡¡of¡¡the¡¡truss¡¡formation¡¡which¡¡is

the¡¡strong¡¡point¡¡with¡¡the¡¡superposed¡¡frame¡£¡¡A

truss¡¡is¡¡a¡¡form¡¡of¡¡construction¡¡where¡¡braces¡¡can

be¡¡used¡¡from¡¡one¡¡member¡¡to¡¡the¡¡next£»¡¡so¡¡as¡¡to

brace¡¡and¡¡stiffen¡¡the¡¡whole¡£



THE¡¡BIPLANE¡£Nature¡¡does¡¡not¡¡furnish¡¡a¡¡type

of¡¡creature¡¡which¡¡has¡¡superposed¡¡wings¡£¡¡In¡¡this

particular¡¡the¡¡inventor¡¡surely¡¡did¡¡not¡¡follow¡¡nature¡£

The¡¡reasons¡¡which¡¡led¡¡man¡¡to¡¡employ¡¡this

type¡¡may¡¡be¡¡summarized¡¡as¡¡follows£º



In¡¡experimenting¡¡with¡¡planes¡¡it¡¡is¡¡found¡¡that

a¡¡broad¡¡fore¡¡and¡¡aft¡¡surface¡¡will¡¡not¡¡lift¡¡as¡¡much

as¡¡a¡¡narrow¡¡plane¡£¡¡This¡¡subject¡¡is¡¡fully¡¡explained

in¡¡the¡¡chapter¡¡on¡¡The¡¡Lifting¡¡Surfaces¡¡of

Planes¡£¡¡In¡¡view¡¡of¡¡that¡¡the¡¡technical¡¡descriptions

of¡¡the¡¡operation¡¡will¡¡not¡¡be¡¡touched¡¡upon

at¡¡this¡¡place£»¡¡except¡¡so¡¡far¡¡as¡¡it¡¡may¡¡be¡¡necessary

to¡¡set¡¡forth¡¡the¡¡present¡¡subject¡£



This¡¡peculiarity¡¡is¡¡due¡¡to¡¡the¡¡accumulation¡¡of

a¡¡mass¡¡of¡¡moving¡¡air¡¡at¡¡the¡¡rear¡¡end¡¡of¡¡the¡¡plane£»

which¡¡detracts¡¡from¡¡its¡¡lifting¡¡power¡£¡¡As¡¡it

would¡¡be¡¡a¡¡point¡¡of¡¡structural¡¡weakness¡¡to¡¡make

the¡¡wings¡¡narrow¡¡and¡¡very¡¡long£»¡¡Wenham¡¡many

years¡¡ago¡¡suggested¡¡the¡¡idea¡¡of¡¡placing¡¡one¡¡plane

above¡¡the¡¡other£»¡¡and¡¡later¡¡on¡¡Chanute£»¡¡an

engineer£»¡¡used¡¡that¡¡form¡¡almost¡¡exclusively£»¡¡in

experimenting¡¡with¡¡his¡¡gliders¡£



It¡¡was¡¡due¡¡to¡¡his¡¡influence¡¡that¡¡the¡¡Wrights

adopted¡¡that¡¡form¡¡in¡¡their¡¡gliding¡¡experiments£»

and¡¡later¡¡on¡¡constructed¡¡their¡¡successful¡¡flyers

in¡¡that¡¡manner¡£¡¡Originally¡¡the¡¡monoplane¡¡was

the¡¡type¡¡generally¡¡employed¡¡by¡¡experimenters£»

such¡¡as¡¡Lilienthal£»¡¡and¡¡others¡£



STABILITY¡¡IN¡¡BIPLANES¡£Biplanes¡¡are¡¡not¡¡naturally

as¡¡stable¡¡laterally¡¡as¡¡the¡¡monoplane¡£

The¡¡reason¡¡is£»¡¡that¡¡a¡¡downward¡¡tilt¡¡has¡¡the¡¡benefit

of¡¡only¡¡a¡¡narrow¡¡surface£»¡¡comparable¡¡with¡¡the

monoplane£»¡¡which¡¡has¡¡broadness¡¡of¡¡wing¡£



To¡¡illustrate¡¡this£»¡¡let¡¡us¡¡assume¡¡that¡¡we¡¡have

a¡¡biplane¡¡with¡¡planes¡¡five¡¡feet¡¡from¡¡front¡¡to¡¡rear£»

and¡¡thirty¡­six¡¡feet¡¡in¡¡length¡£¡¡This¡¡would¡¡give

two¡¡planes¡¡with¡¡a¡¡sustaining¡¡surface¡¡of¡¡360¡¡square

feet¡£¡¡The¡¡monoplane¡¡would£»¡¡probably£»¡¡divide

this¡¡area¡¡into¡¡one¡¡plane¡¡eight¡¡and¡¡a¡¡half¡¡feet¡¡from

front¡¡to¡¡rear£»¡¡and¡¡42¡¡feet¡¡in¡¡length¡£



In¡¡the¡¡monoplane¡¡each¡¡wing¡¡would¡¡project¡¡out

about¡¡three¡¡feet¡¡more¡¡on¡¡each¡¡side£»¡¡but¡¡it¡¡would

have¡¡eight¡¡and¡¡a¡¡half¡¡feet¡¡fore¡¡and¡¡aft¡¡spread

to¡¡the¡¡biplane's¡¡five¡¡feet£»¡¡and¡¡thus¡¡act¡¡as¡¡a¡¡greater

support¡£



THE¡¡ORTHOPTER¡£The¡¡term¡¡orthopter£»¡¡or¡¡ornithopter£»

meaning¡¡bird¡¡wing£»¡¡is¡¡applied¡¡to¡¡such

flying¡¡machines¡¡as¡¡depend¡¡on¡¡wing¡¡motion¡¡to¡¡support

them¡¡in¡¡the¡¡air¡£



Unquestionably£»¡¡a¡¡support¡¡can¡¡be¡¡obtained¡¡by

beating¡¡on¡¡the¡¡air¡¡but¡¡to¡¡do¡¡so¡¡it¡¡is¡¡necessary¡¡to

adopt¡¡the¡¡principle¡¡employed¡¡by¡¡nature¡¡to¡¡secure

an¡¡upward¡¡propulsion¡£¡¡As¡¡pointed¡¡out¡¡elsewhere£»

it¡¡cannot¡¡be¡¡the¡¡concaved¡¡type¡¡of¡¡wing£»

or¡¡its¡¡shape£»¡¡or¡¡relative¡¡size¡¡to¡¡the¡¡weight¡¡it¡¡must

carry¡£



As¡¡nature¡¡has¡¡furnished¡¡such¡¡a¡¡variety¡¡of¡¡data

on¡¡these¡¡points£»¡¡all¡¡varying¡¡to¡¡such¡¡a¡¡remarkable

degree£»¡¡we¡¡must¡¡look¡¡elsewhere¡¡to¡¡find¡¡the¡¡secret¡£

Only¡¡one¡¡other¡¡direction¡¡offers¡¡any¡¡opportunity£»

and¡¡that¡¡is¡¡in¡¡the¡¡individual¡¡wing¡¡movement¡£



NATURE'S¡¡TYPE¡¡NOT¡¡UNIFORM¡£When¡¡this¡¡is

examined£»¡¡the¡¡same¡¡obscurity¡¡surrounds¡¡the¡¡issue¡£

Even¡¡the¡¡speeds¡¡vary¡¡to¡¡such¡¡an¡¡extent¡¡that¡¡when

it¡¡is¡¡tried¡¡to¡¡differentiate¡¡them£»¡¡in¡¡comparison

with¡¡form£»¡¡shape£»¡¡and¡¡construction£»¡¡the¡¡experimenter

finds¡¡himself¡¡wrapt¡¡in¡¡doubt¡¡and¡¡perplexity¡£



But¡¡birds¡¡do¡¡fly£»¡¡notwithstanding¡¡this¡¡wonderful

array¡¡of¡¡contradictory¡¡exhibitions¡£¡¡Observation

has¡¡not¡¡enabled¡¡us¡¡to¡¡learn¡¡why¡¡these¡¡things

are¡¡so¡£¡¡High¡¡authorities£»¡¡and¡¡men¡¡who¡¡are¡¡expert

aviators£»¡¡tell¡¡us¡¡that¡¡the¡¡bird¡¡flies¡¡because

it¡¡is¡¡able¡¡to¡¡pick¡¡out¡¡ascending¡¡air¡¡currents¡£



THEORIES¡¡ABOUT¡¡FLIGHT¡¡OF¡¡BIRDS¡£Then¡¡we

are¡¡offered¡¡the¡¡theory¡¡that¡¡the¡¡bird¡¡has¡¡an¡¡instinct

which¡¡tells¡¡it¡¡just¡¡how¡¡to¡¡balance¡¡in¡¡the

air¡¡when¡¡its¡¡wings¡¡are¡¡once¡¡set¡¡in¡¡motion¡£

Frequently£»¡¡what¡¡is¡¡taken¡¡for¡¡instinct£»¡¡is¡¡something

entirely¡¡different¡£



It¡¡has¡¡been¡¡assumed£»¡¡for¡¡instance£»¡¡that¡¡a¡¡cyclist

making¡¡a¡¡turn¡¡at¡¡a¡¡rapid¡¡speed£»¡¡and¡¡a¡¡bird¡¡flying

around¡¡a¡¡circle¡¡will¡¡throw¡¡the¡¡upper¡¡part¡¡of¡¡the

body¡¡inwardly¡¡to¡¡counteract¡¡the¡¡centrifugal¡¡force

which¡¡tends¡¡to¡¡throw¡¡it¡¡outwardly¡£



Experiments¡¡with¡¡the¡¡monorail¡¡car£»¡¡which¡¡is

equipped¡¡with¡¡a¡¡gyroscope¡¡to¡¡hold¡¡it¡¡in¡¡a¡¡vertical

position£»¡¡show¡¡that¡¡when¡¡the¡¡car¡¡approaches¡¡a

curve¡¡the¡¡car¡¡will¡¡lean¡¡inwardly£»¡¡exactly¡¡the¡¡same

as¡¡a¡¡bird£»¡¡or¡¡a¡¡cyclist£»¡¡and¡¡when¡¡a¡¡straight¡¡stretch

is¡¡reached£»¡¡it¡¡will¡¡again¡¡straighten¡¡up¡£



INSTINCT¡£Now£»¡¡either¡¡the¡¡car£»¡¡so¡¡equipped

possesses¡¡instinct£»¡¡or¡¡there¡¡must¡¡be¡¡a¡¡principle

in¡¡the¡¡laws¡¡of¡¡nature¡¡which¡¡produces¡¡the¡¡similarity

of¡¡action¡£



In¡¡like¡¡manner¡¡there¡¡must¡¡be¡¡some¡¡principle

that¡¡is¡¡entirely¡¡independent¡¡of¡¡the¡¡form¡¡of¡¡matter£»

or¡¡its¡¡arrangement£»¡¡which¡¡enables¡¡the¡¡bird

to¡¡perform¡¡its¡¡evolutions¡£¡¡We¡¡are¡¡led¡¡to¡¡believe

from¡¡all¡¡the¡¡foregoing¡¡considerations¡¡that¡¡it¡¡is

the¡¡manner¡¡or¡¡the¡¡form¡¡of¡¡the¡¡motion¡£



MODE¡¡OF¡¡MOTION¡£In¡¡this¡¡respect¡¡it¡¡seems¡¡to

be¡¡comparable¡¡in¡¡every¡¡respect¡¡to¡¡the¡¡great¡¡and

universal¡¡law¡¡of¡¡the¡¡motions¡¡in¡¡the¡¡universe¡£

Thus£»¡¡light£»¡¡heat¡¡and¡¡electricity¡¡are¡¡the¡¡same£»¡¡the

manifestations¡¡being¡¡unlike¡¡only¡¡because¡¡they

have¡¡different¡¡modes¡¡of¡¡motion¡£



Everything¡¡in¡¡nature¡¡manifests¡¡itself¡¡by¡¡motion¡£

It¡¡is¡¡the¡¡only¡¡way¡¡in¡¡which¡¡nature¡¡acts¡£

Every¡¡transformation¡¡from¡¡one¡¡thing¡¡to¡¡another£»

is¡¡by¡¡way¡¡of¡¡a¡¡movement¡¡which¡¡is¡¡characteristic

in¡¡itself¡£



Why£»¡¡then£»¡¡should¡¡this¡¡great¡¡mystery¡¡of¡¡nature£»

act¡¡unlike¡¡the¡¡other¡¡portions¡¡of¡¡which¡¡it¡¡is

a¡¡part£¿



THE¡¡WING¡¡STRUCTURE¡£The¡¡wing¡¡structure¡¡of

every¡¡flying¡¡creature¡¡that¡¡man¡¡has¡¡examined£»¡¡has

one¡¡universal¡¡point¡¡of¡¡similarity£»¡¡and¡¡that¡¡is¡¡the

manner¡¡of¡¡its¡¡connection¡¡with¡¡the¡¡body¡£¡¡It¡¡is¡¡a

sort¡¡of¡¡universal¡¡joint£»¡¡which¡¡permits¡¡the¡¡wing

to¡¡swing¡¡up¡¡and¡¡down£»¡¡perform¡¡a¡¡gyratory¡¡movement

while¡¡doing¡¡so£»¡¡and¡¡folds¡¡to¡¡the¡¡rear¡¡when

at¡¡rest¡£



Some¡¡have¡¡these¡¡movements¡¡in¡¡a¡¡greater¡¡or

less¡¡degree£»¡¡or¡¡capable¡¡of¡¡a¡¡greater¡¡range£»¡¡but

the¡¡joint¡¡is¡¡the¡¡same£»¡¡with¡¡scarcely¡¡an¡¡exception¡£

When¡¡the¡¡stroke¡¡of¡¡the¡¡wing¡¡is¡¡downwardly¡¡the

rear¡¡margin¡¡is¡¡higher¡¡than¡¡the¡¡front¡¡edge£»¡¡so

that¡¡the¡¡downward¡¡beat¡¡not¡¡only¡¡raises¡¡the¡¡body

upwardly£»¡¡but¡¡also¡¡propels¡¡it¡¡forwardly¡£



THE¡¡WING¡¡MOVEMENT¡£The¡¡moment¡¡the¡¡wing

starts¡¡to¡¡swing¡¡upwardly¡¡the¡¡rear¡¡end¡¡is

depressed£»¡¡and¡¡now£»¡¡as¡¡the¡¡bird¡¡is¡¡moving¡¡forwardly£»

the¡¡wing¡¡surface¡¡has¡¡a¡¡positive¡¡angle¡¡of

incidence£»¡¡and¡¡as¡¡the¡¡wing¡¡rises¡¡while¡¡the¡¡forward

motion¡¡is¡¡taking¡¡place£»¡¡there¡¡is¡¡no¡¡resistance

which¡¡is¡¡effective¡¡enough¡¡to¡¡counteract¡¡the

momentum¡¡which¡¡has¡¡been¡¡set¡¡up¡£



The¡¡great¡¡problem¡¡is¡¡to¡¡put¡¡this¡¡motion¡¡into¡¡a

mechanical¡¡form¡£¡¡The¡¡trouble¡¡is¡¡not¡¡ascribable

to¡¡the¡¡inability¡¡of¡¡the¡¡mechanic¡¡to¡¡describe¡¡this

movement¡£¡¡It¡¡is¡¡an¡¡exceedingly¡¡simple¡¡one¡£

The¡¡first¡¡difficulty¡¡is¡¡in¡¡the¡¡material¡¡that¡¡must

be¡¡used¡£¡¡Lightness¡¡and¡¡strength¡¡for¡¡the¡¡wing

itself¡¡are¡¡the¡¡first¡¡requirements¡£¡¡Then¡¡rigidity

in¡¡the¡¡joint¡¡and¡¡in¡¡the¡¡main¡¡rib¡¡of¡¡the¡¡wing£»¡¡are

the¡¡next¡¡considerations¡£



In¡¡these¡¡respects¡¡the¡¡ability¡¡of¡¡man¡¡is¡¡limited¡£

The¡¡wing¡¡ligatures¡¡of¡¡flying¡¡creatures¡¡is¡¡exceedingly

strong£»¡¡and¡¡flexible£»¡¡the¡¡hollow¡¡bone¡¡formation

and¡¡the¡¡feathers¡¡are¡¡extremely¡¡light£»¡¡compared

with¡¡their¡¡sustaining¡¡powers¡£



THE¡¡HELICOPTER¡¡MOTION¡£The¡¡helicopter£»¡¡or

helix¡­wing£»¡¡is¡¡a¡¡form¡¡of¡¡flying¡¡machine¡¡which¡¡depends

on¡¡revolving¡¡screws¡¡to¡¡maintain¡¡it¡¡in¡¡the

air¡£¡¡Many¡¡propellers¡¡are¡¡now¡¡made£»¡¡six¡¡feet¡¡in

length£»¡¡which¡¡have¡¡a¡¡pull¡¡of¡¡from¡¡400¡¡to¡¡500

pounds¡£¡¡If¡¡these¡¡are¡¡placed¡¡on¡¡vertically¡­disposed

shafts¡¡they¡¡would¡¡exert¡¡a¡¡like¡¡power¡¡to

raise¡¡a¡¡machine¡¡from¡¡the¡¡earth¡£



Obviously£»¡¡it¡¡is¡¡difficult¡¡to¡¡equip¡¡such¡¡a¡¡machine

with¡¡planes¡¡for¡¡sustaining¡¡it¡¡in¡¡flight£»¡¡after¡¡it¡¡is

once¡¡in¡¡the¡¡air£»¡¡and¡¡unless¡¡such¡¡means¡¡are¡¡provided

the¡¡propellers¡¡themselves¡¡must¡¡be¡¡the

mechanism¡¡to¡¡propel¡¡it¡¡horizontally¡£



This¡¡means¡¡a¡¡change¡¡of¡¡direction¡¡of¡¡the¡¡shafts

which¡¡support¡¡the¡¡propellers£»¡¡and¡¡the¡¡construction

is¡¡necessarily¡¡more¡¡complicated¡¡than¡¡if¡¡they

were¡¡held¡¡within¡¡non¡­changeable¡¡bearings¡£



This¡¡principle£»¡¡however£»¡¡affords¡¡a¡¡safer¡¡means

of¡¡navigating¡¡than¡¡the¡¡orthopter¡¡type£»¡¡because

the¡¡blades¡¡of¡¡such¡¡an¡¡instrument¡¡can¡¡be¡¡forced

through¡¡the¡¡air¡¡with¡¡infinitely¡¡greater¡¡speed¡¡than

beating¡¡wings£»¡¡and¡¡it¡¡devolves¡¡on¡¡the¡¡inventor¡¡to

devise¡¡some¡¡form¡¡of¡¡apparatus¡¡which¡¡will¡¡permit

the¡¡change¡¡of¡¡pull¡¡from¡¡a¡¡vertical¡¡to¡¡a¡¡horizontal

direction¡¡while¡¡in¡¡flight¡£







CHAPTER¡¡VI



THE¡¡LIFTING¡¡SURFACES¡¡OF¡¡AEROPLANES





THIS¡¡subject¡¡includes¡¡the¡¡form£»¡¡shape¡¡and¡¡angle

of¡¡planes£»¡¡used¡¡in¡¡flight¡£¡¡It¡¡is¡¡the¡¡direction¡¡in

which¡¡most¡¡of¡¡the¡¡energy¡¡has¡¡been¡¡expended¡¡in

developing¡¡machines£»¡¡and¡¡the¡¡true¡¡form¡¡is¡¡still

involved¡¡in¡¡doubt¡¡and¡¡uncertainty¡£



RELATIVE¡¡SPEED¡¡AND¡¡ANGLE¡£The¡¡relative

speed¡¡and¡¡angle£»¡¡and¡¡the¡¡camber£»¡¡or¡¡the¡¡curved

formation¡¡of¡¡the¡¡plane£»¡¡have¡¡been¡¡considered¡¡in

all¡¡their¡¡aspects£»¡¡so¡¡t
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