Przekł

ą

dnia z

ę

bata 1

Parametry zadane

P3

45.887

:=

kN

N3

P3 45.887

=

:=

kN

n3

375

:=

obr

min

u2

3.33

:=

KA

1.5

:=

Wyniki

1. Okreslenie naprezen dopuszczalnych:

Material - stal do 20MnCr5

σHlim

1630

:=

MPa

σFlim

480

:=

MPa

σHP

0.8

σHlim

⋅

1304

=

:=

MPa

σHP 1304

=

MPa

Liczba cykli obciazen zebnika:

τ

5 300

⋅

20

⋅

30000

=

:=

nt

60 n3

⋅

τ

⋅

6.75

10

8

×

=

:=

cykli

YNT

1

:=

ZNT

1

:=

KH

KA

:=

2. Wst

ę

pne okreslenie

ś

rednicy podziałowej z

ę

bnika

Moment obrotowy

M1

9550

N3

n3

⋅

1169

=

:=

Nm

M1 1169

=

Nm

Przyjmujemy wstepne wspóczynnik szeroko

ś

ci wie

ń

ca i k

ą

t pochylenia lini z

ę

ba

κ

1

:=

β

15 deg

⋅

:=

d1

690

3

M1 KH

⋅

κ σHP

2

⋅

u2 1

+

u2

⋅

⋅

76.1

=

:=

mm

3. Okreslenie odleglosci osi kol:

a

d1

2

1

u2

+

(

)

⋅

164.7

=

:=

mm

przyjmujemy z tablicy 4.15 (Mazanek) aw=200 mm

aw

200

:=

mm

aw 200

=

mm

4. Okreslenie podstawowych parametrow przekladni:

okre

ś

lamy ponownie

ś

redni

ę

podziałow

ą

d1

2 aw

⋅

1

u2

+

92.4

=

:=

mm

d1 92.4

=

mm

przyjmujemy liczbe zebow z1

z1

18

:=

z1 18

=

mn

d1 cos β

( )

⋅

z1

4.957

=

:=

mm

przyjmujemy z tablicy 4.1 (Mazanek) mn = 5 mm

mn

5

:=

mm

mn 5

=

mm

liczba z

ę

bów koła 2

z2

z1 u2

⋅

59.94

=

:=

z2

60

:=

z2 60

=

Rzeczywiste przeło

ż

enie:

uw

z2
z1

3.333

=

:=

nie wyst

ę

puje bł

ą

d przeło

ż

enia

cos

β

z1 z2

+

(

)

mn

⋅

2 aw

⋅

0.975

=

:=

β

acos cos

β

(

)

12.839 deg

⋅

=

:=

mt

mn

cos

β

( )

5.13

=

:=

mm

mt 5.13

=

mm

Ś

rednice podziałowe kół z

ę

batych wynosz

ą

:

d1

mt z1

⋅

92.31

=

:=

mm

d1 92.31

=

mm

d2

mt z2

⋅

307.69

=

:=

mm

d2 307.69

=

mm

odległo

ść

nominalna osi kół

a

z1 z2

+

2

mt

⋅

200

=

:=

mm

a

200

=

mm

Przyjmujemy szeroko

ść

wie

ń

ca

b

75

:=

mm

b

75

=

mm

czołowy k

ą

t przyporu

α

20 deg

⋅

:=

tan

αt

tan

α

( )

cos

β

( )

0.373

=

:=

αt

atan tan

αt

( )

0.357

=

:=

αt 20.47 deg

⋅

=

αt 20.47 deg

⋅

=

zast

ę

pcza liczba z

ę

bów

zz1

z1

cos

β

( )

(

)

3

19.42

=

:=

zz2

z2

cos

β

( )

(

)

3

64.735

=

:=

zz1 19

=

zz1

20

:=

zz2 65

=

5. Współczynnik przesuni

ę

cia zarysu.

Σxt

0.5

:=

Σxn

Σxt

cos

β

( )

0.513

=

:=

x1n

0.35

:=

x2n

0.163

:=

x1n x2n

+

0.513

=

x1t

x1n cos β

( )

⋅

0.341

=

:=

x2t

Σxt x1t

−

0.159

=

:=

Toczny k

ą

t przyporu:

cos

αtw

a

aw

cos

αt

( )

⋅

0.937

=

:=

αtw

acos cos

αtw

(

)

20.471 deg

⋅

=

:=

6. Obliczenie wska

ź

nika zaz

ę

bienia przekladni:

Wysokosci głów z

ę

bow:

y

1

:=

m

mn

:=

ha1

m y

x1n

+

(

)

⋅

6.75

=

:=

mm

ha1 6.75

=

mm

ha2

m y

x2n

+

(

)

⋅

5.82

=

:=

mm

ha2 5.82

=

mm

Czołowy wska

ż

nik zaz

ę

bienia:

αn

20 deg

⋅

:=

C1

1

2

π

⋅

1

2 ha1

⋅

d1

+













2

1

tan

αn

( )

(

)

2

cos

β

( )

(

)

2

+

















⋅

1

−

⋅

0.112

=

:=

C2

1

2

π

⋅

1

2 ha2

⋅

d2

+













2

1

tan

αn

( )

(

)

2

cos

β

( )

(

)

2

+

















⋅

1

−

⋅

0.076

=

:=

C1 0.112

=

C2 0.076

=

C3

aw sin αtw

( )

⋅

π mt

⋅

cos

αt

( )

⋅

4.634

=

:=

C3 4.634

=

εα

z1 C1

⋅

z2 C2

⋅

+

C3

−

1.936

=

:=

Skokowy wska

ź

nik zaz

ę

bienia.

εβ

b sin

β

( )

⋅

π mn

⋅

1.061

=

:=

Całkowity wska

ź

nik zaz

ę

bienia.

εγ

εα εβ

+

2.997

=

:=

K

ą

t pochylenia lini z

ę

ba

tan

βb

tan

β

( ) cos

α

( )

⋅

0.214

=

:=

βb

atan tan

βb

(

)

0.211

=

:=

βb 12.088 deg

⋅

=

Yε

0.25

0.75

εα

cos

βb

( )

(

)

2

⋅

+

0.62

=

:=

Zε

1

εα

0.719

=

:=

7. Obci

ąż

enie z

ę

bów.

Momenty obrotowe

M1 1169

=

Nm

M1 1169

=

Nm

M2

M1 uw

⋅

3895

=

:=

Nm

M2 3895

=

Nm

Nominalna siła obwodowa:

P

2000 M1

⋅

d1

25319

=

:=

N

Pr

ę

dko

ść

rezonansowa:

nE1min

2.1 10

7

⋅

cos

β

( )

z1 mn

⋅

⋅

uw 1

+

uw

⋅

295750

=

:=

obr

min

nE1min 295750

=

obr

min

nE1max

2.4 10

7

⋅

cos

β

( )

z1 mn

⋅

⋅

uw 1

+

uw

⋅

338000

=

:=

obr

min

nE1max 338000

=

obr

min

zakres podrezonansowy

Wska

ź

nik obci

ąż

enia jednostkowego.

q

KA

P

b

⋅

506.389

=

:=

N

mm

Wska

ź

nik pr

ę

dko

ś

ci przekładni.

v

π d1

⋅

n3

60000

⋅

1.812

=

:=

m

s

W

z1

100

v

⋅

uw

2

uw

2

1

+

⋅

0.312

=

:=

m

s

W

0.312

=

m

s

Wspołczynnik dynamiczny (dla 6 klasy dokł.)

Kv

1

13.3

q

0.0087

+













W

⋅

+

1.011

=

:=

Wspołczynniki nierownomierno

ś

ci rozkladu obci

ąż

enia:

KHα

1

:=

KFα

1

:=

KHβ

1.09

0.26

b

d1













2

⋅

+

3.3 b

⋅

10

4

−

⋅

+

1.286

=

:=

h

2.25 mn

⋅

11.25

=

:=

mm

b

h

6.667

=

NF

b

h













2

1

b

h

+

b

h













2

+

0.853

=

:=

NF 0.853

=

KFβ

KHβ

NF

1.24

=

:=

KFβ 1.24

=

8. Wspołczynnik bezpiecze

ń

stwa na nacisk stykowy.

ZE

189.8

:=

ZH

1

cos

αt

( )

2 cos

βb

( )

⋅

tan

αtw

( )

⋅

2.443

=

:=

Zβ

cos

β

( )

0.987

=

:=

Koła szlifowane

Rz

4

:=

μm

ZL ZR

⋅

Zv

⋅

1

=

ZLRv

1

:=

ZW

1

:=

zeby hart.powierzch.

ZX

1

:=

SH

σHlim

ZH ZE

⋅

Zε

⋅

Zβ

⋅

P uw 1

+

(

)

⋅

b d1

⋅

uw

⋅













0.5

⋅

ZNT ZLRv

⋅

ZW

⋅

ZX

⋅

KA Kv

⋅

KHβ

⋅

KHα

⋅

(

)

0.5

⋅

1.627

=

:=

SH 1.627

=

9. Wspołczynnik bezp.na zginanie.

YFS

4.0

:=

YδrelT

1

:=

qs 1.5

>

YRrelT

1.04

:=

YX

1

:=

YST

2

:=

Yβ

1

β

120

−

0.998

=

:=

SF

σFlim

KA Kv

⋅

KFβ

⋅

KFα

⋅

P

b mn

⋅

⋅

YST YNT

⋅

YδrelT

⋅

YRrelT

⋅

YX

⋅

YFS Yε

⋅

Yβ

⋅

⋅

3.176

=

:=

SF 3.176

=

10. Sprawdzenie z

ę

bów na zagrzanie:

NT

N3 1

1

uw

+













⋅

7 z1

⋅

0.473

=

:=

kW

NT 0.473

=

kW

xT

z1 mn

⋅

b

⋅

1000 NT

⋅

14.257

=

:=

11. Nominalne warto

ś

ci sił działaj

ą

cych na wały i ło

ż

yska:

tan

βw

aw

a

tan

β

( )

⋅

0.228

=

:=

βw

atan tan

βw

(

)

0.224

=

:=

βw 12.839 deg

⋅

=

Pr

P tan

αtw

( )

⋅

9452

=

:=

N

Pr 9452

=

N

Pa

P tan

βw

( )

⋅

5770

=

:=

N

Pa 5770

=

N