Hypoid Gear Cutting

A. A. IAIALLLLIEIE

2,783,686

2,783,686

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Inventors

Inventors

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ClJ1 ClJ1

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2,783,686

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Invenlors

Arturo

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8enedelfQ

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Patent

Office

2,783,686

th ccompanyin drawings wh rein;' thogonal biased axes

differen vertical planes

Figure o be c n t e m 10 our improved method V2P, axis ug I. mentd. 1. IIi t=--t is line VW. t=-t is V2P.

VIUl and V2U2

45 : 2 differeing by rati k. IP VrV2 Assuming ZlZ2 'to 2,783,686 Arturo Ciallie, pe ,M pl be 4, 54 Claims Cl s. CI

2,7'83,686

Il ou formulae:

tan o=-v'0.25+tan sin -0.50 (2) and is 15 20 0, respectively. Th angl en a2, si aI"=Co si a2 CO cos

tan tan a2=COS

(3) 25 (5) 30 spacing 40 and he ormu 18 and 19 45 55 65 rotates. curves. he VIT UT detail. T. hi and ', ZIZ2k. ala2 is sin 7"1 -Z CO al+COS a2 sm T1 50 =Msin (6) F=s~n lk sm T2 f3 formula (8) cotan f3 F-cos (9) in while fll={32+X (10) Th essentia sp cing C=V1V2

sin cos al sin f32+Sin a2 cos az sin al om hi ve VIP=Rl=~_sm sin (If) 12 V?=R2=~_SIn sin '1 r2 13

formulae

1'1=Rl sin a:l T2=R2 sin a:2

.(14) (IS)

orre al lation th lu reckoned by th Fo mula

he (Ua:2 an length RIR2

ZlZ2, between ls is de iv d. k, is promptly derived. «a of th or ul sin a1 anE=-.-sm a2 Finally, 1. The In a:2 RIR2 between as ing It radius T1 mathe-in manner i, a:2 Formula ZlZ2 «i IXl it that «i, corre-ri bu slightly assuming ko k=1- tan tan .f de or .view.

2,788,686

eans of th followin fo mulae:

MV2=h=c. cos 0: cos{3 MV1=g=C. cos 0: cos {3 (20) (21) (17) and · a

nd gene ated like onventiona bevelg r,

,I 5) 6) and '6 4;) an pinion 50 in Figure and described method 60 and g- is th horizont il xx

-7

axis'

in ur

abou it axis

cuttin an generating proces with th generi axis

of th machine

Th abovementioned shaf

M,

tool-carrier drum rotate abou th machin axisg-g.

tioned shaf transmit it motion throug gear 11 12

20

ea

th vertical spline shaf

"'1.

te ot

cuttin th wheel, th tw tool an blanks respectively being counte rotated.

VI, that is th eccentricity e=UVl of th tool se Figure 3, is essential.

ure should firs be determined by mean of th formul sin ' 1 " 1

SIn - -PZl

p=UP. Consequently,

=RI p2_2pRI cos( ' 1 " 1 + " ' )

Upon freely settin th tool radius suitable fo cuttin culate by mean of th Formulae22and23. The spacing

of th tool axis an generi machin axisremains unaltere in cuttin th whee or pinion

be

of th following formula

n.slll al

in whic is fixe constant fo each machin supplied is no accurately ob

al

th rati is accurately obtained by mean of four series gears. th ll mp Zl 35Z2 d=mm We assume k=0.85. Consequently ta e=74° By applying (2) we obtai By applying (3) we obtain 4) we a2=14° M=1.048451 ta r=68.896 By applying (8) we obtain F=1.128305 By applying (9) we obtain By applying(10) we obtain,8 By applying(11) we obtain c=26.139 2,7813,686 By applying (12) we obtain Rl=71.59S By applying(13) we obtai R2=80.781 By applying(14) we obtainn=68.896 By applying (15) we obtain r2=20.904 (18) we obtain X=12.912 By applying (19) we obtain Y=22.796

By applying (20) we obtain lz=12.472 By applying (21) we obtain g=1.355

By applying we obtain

10 By applying(23) we obtain e=81.923

(24)

When q=0.484 is desired, th values of Z1Z2dbein th same, Formul 24gives a1=74° an we obtain by

mean of Formul a2=14° By applying th abov explaine calculatin method th result is

k=0.87343 1"1=68.918 x= 15.115

F=1.159414

M=1.048115 }"2=20.910 w=l° 4' 11

(3 6° 4' 40 lz=14.625

ha we clai is

1. method of manufacturing pair of intermeshing

25

wh

continuous generating proces employin cuttin tool

abou th main axis of th machine, whic comprises, cut-ting th whee by th step whic comprise positionin whee blan withirs axis obliquel intersecting th main axis on th pitc plan of th tool effectin continuous rotation of th tool an blan abou their.axes while

caus-(23) th te pr

tionin pinion blan with it axis obliquel intersecting

differen from th bias-distanc betwee th axes of th mb

45 effectin continuous rotation of th tool an blan abou

said fixed distance therefro an whil causin th cutters to engage th blan an simultaneously cu an generate

ma

continuous generating proces by employin cuttin tool

cuttin th whee by th step whic comprise positionin

ge said plane, effectin continuous rotation of th tool an

le

65 distance therefro an whil causin th cutter to engage th blan an simultaneously cu an generate tw flanks

ic ni nk th

obliquel intersecting th pitc plan of th tool at poin horizontal an vertical component, th off-se distance bein differen from th bias-distanc betwee th axes of th whee an pinion in thei eventual assemble position effectin continuous rotation of th tool an blan abou

s.w ng axis to revolve

said ix is le si

wo ks ot ac

3. In method as define in clai 2, in th whee blan positionin step th step of positionin th blan with it

po on p, st si ni he an th

it intended pitc cone tangential to th pitc plan of th 10

ol nd wi nt ra of he on nc ed

with respec to said contac generatrix on an angl whic is equa to th difference betwee th desire spiral angles

he nd io ee

4. method as define in clai 1,wherei th off-se 15

biased axes of th whee an pinion in thei eventual posi tion accordin to th formula:

wherein

is th off-set distance, is th bias distance

en f- tc ne io

0:2 -a he wh

fh and {3 ar angles resultin from th formulae {31={32+A F-cos cotan _sm F= s~n'1"1 sm wherein

is th difference betwee th spiral angles of th pinion and wheel, respectively,

ti be en gu pe cr he

relative to th pinion an wheel,

'1"1 and '1"2

th pinion an wheel, respectively

2,788,686

10

said bod.

re iv

sin fJ2+sin a2 cos az sin al

sin fJ

sin (3 cos a) si fJ2+si a2 sin 011

wherein

is th horizonta component, is th vertica component,

is th bias distance betwee th biased axes of th whee an pinion,

-a in

ct2 lf gl tc on of wh l,

{3 and {3 ar angles resultin from th formulae

fh=,82+A F-cos cotan sin F= s~ '1"1 Sm'l"2 25 wherein

is th difference betwee th spiral angles of th pinion and wheel, respectively,

ra ee ng ds wn wh

30 relative to th pinion an wheel,

'1"1 and '1"2

th pinio an wheel respectively

References Cite in th file of this patent UNITED STATES PATENT 1,969,843 2,070,191 2,339,375 2,354,181 2,444,551 14 1934 1944 n et a y 2 1944