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Table 2 Specifications of the used gear

From: Coupled-driven high-speed and high-torque switchable transmission with a large transmission ratio

Palameters

Coupled Drive

TWC

\(\text {D}_\text {1,2}\)

 

Symbol

\(\text {G}_\text {S1,2}\)

\(\text {G}_\text {D1,2}\)

\(\text {G}_\text {T1}\)

\(\text {G}_\text {T2}\)

\(\text {G}_\text {C}\)

Planetary

gear

Internal

gear

Bevel

gear

Module

m

0.5

Pressure angle

\(\alpha\)

20

Number of teeth

Z

40

24

60

14

70

23

60

 

Facewidth

b [mm]

3

3

3

5

5

3

3

2.5

Outer cone distance

\(R_a\) [mm]

       

7.1

Rotational speed (Initial assumption)

n [rpm]

7500

3750

1500

1500

300

0

0

7500

Maximum load

T [mNm]

36.5

40.6

183

183

823

78.8

205

40.6

Call

circumference force

\(F_t\) [N]

3.65

6.77

6.77

52.3

52.3

13.7

13.7

1.37

Material

 

POM

POM

S45C

S45C

S45C

S45C

C3604

C3604

Allowable material stress at the root

\(\sigma _{lim}\) [N/mm]

39.2

39.2

137

137

137

137

26.2

26.2

Tooth form factor

\(Y_F\)

  

2.28

3.2

2.25

2.68

2.07

2.93

Load distribution

factor

\(Y_\epsilon\)

  

0.591

0.625

0.625

0.508

0.508

0.61

Helix angle factor

\(Y_\beta\)

  

1

1

1

1

1

1

Life factor

\(K_L\)

  

1

1

1

1

1

1

Dimension factor

\(K_{FX}\)

  

1

1

1

1

1

1

Dynamic load factor

\(K_V\)

  

1.5

1.5

1.5

1.2

1.2

1.7

Overload factor

\(K_O\)

  

1

1

1

1

1

1

Tooth form factor

y

0.7

0.415

      

Speed correction

factor

\(K_v\)

1.12

1.36

      

Temperature factor

\(K_T\)

1

1

      

Lubrication factor

\(K_l\)

0.75

0.75

      

Material factor

\(K_M\)

0.75

1

      

Service factor

\(C_S\)

0.8

0.8

Assumed 3 hrs/day

Safety factor

\(S_F\)

1.2

 

Cutter diameter

effect factor

\(Y_C\)

       

1

Longitudinal load

distribution factor

\(K_D\)

       

1.8

Reliability factor

\(K_R\)

       

1.4

Allowable circumference force

\(F_{tlim}\) [N]

27

26

85

95

135

112

28

3.0