2Z-X(Ⅰ)型奇异二齿差~三齿差双内啮合齿轮副几何参数表　　　　　　　　　　　　　mm

外齿轮1

固定内齿轮2

重

合

度

ε_α1-2

齿廓重

叠干涉

验算

G_a1-2

啮

合

角

α'_1-2

齿

数

z₁

变位

系数

x₁

顶圆

直径

d_a1

跨齿

数k₁

公法线

长度

W_k1

齿

数

z₂

变位

系数

x₂

顶圆

直径

d_a2

跨齿

槽数

k₂

公法线

长度

W_k2

量柱

直径

d_p2

量柱

测量距

M₂

量柱中心

圆压力角

α_M2

27

0.3956

29.291

4

10.981

29

1.6452

29.571

6

17.768

1.7

29.402

28.9663

0.990

1.873

55.0415

28

0.3956

30.291

4

10.995

30

1.6452

30.571

6

17.782

30.457

28.7584

0.994

1.872

29

0.4955

31.491

5

14.030

31

1.7450

31.771

6

17.865

31.565

29.0055

0.980

1.874

30

0.4955

32.491

5

14.044

32

1.7450

32.771

6

17.879

32.618

28.8100

0.985

1.874

31

0.4955

33.491

5

14.058

33

1.7450

33.771

6

17.893

33.587

28.6235

0.989

1.873

32

0.4955

34.491

5

14.072

34

1.7450

34.771

7

20.859

34.636

28.4452

0.993

1.873

33

0.4955

35.491

5

14.086

35

1.7450

35.771

7

20.873

35.607

28.2747

0.997

1.872

34

0.4955

36.491

5

14.100

36

1.7450

36.771

7

20.887

36.653

28.1114

1.000

1.871

35

0.4955

37.491

5

14.114

37

1.7450

37.771

7

20.901

37.626

27.9548

1.004

1.871

36

0.5954

38.691

6

17.148

38

1.8450

38.971

7

20.983

38.815

28.1928

0.992

1.873

37

0.5954

39.691

6

17.162

39

1.8450

39.971

7

20.997

39.789

28.0432

0.995

1.872

38

0.5954

40.691

6

17.176

40

1.8450

40.971

7

21.011

40.831

27.8993

0.999

1.872

39

0.5954

41.691

6

17.190

41

1.8450

41.971

8

23.977

41.807

27.7608

1.002

1.871

40

0.5954

42.691

6

17.204

42

1.8450

42.971

8

23.991

42.846

27.6274

1.005

1.871

41

0.5954

43.691

6

17.218

43

1.8450

43.971

8

24.005

43.823

27.4988

1.008

1.870

42

0.5954

44.691

6

17.232

44

1.8450

44.971

8

24.019

44.860

27.3747

1.011

1.870

43

0.5954

45.691

6

17.246

45

1.8450

45.971

8

24.033

45.838

27.2548

1.014

1.869

44

0.6953

46.891

7

20.281

46

1.9449

47.171

8

24.116

47.023

27.4787

1.003

1.871

45

0.6953

47.891

7

20.295

47

1.9449

48.171

8

24.130

48.002

27.3628

1.006

1.871

46

0.6953

48.891

7

20.309

48

1.9449

49.171

9

27.096

49.036

27.2506

1.008

1.870

47

0.6953

49.891

7

20.323

49

1.9449

50.171

9

27.110

50.016

27.1419

1.011

1.870

48

0.6953

50.891

7

20.337

50

1.9449

51.171

9

27.124

51.049

27.0367

1.014

1.869

49

0.6953

51.891

7

20.351

51

1.9449

52.171

9

27.138

52.030

26.9347

1.016

1.869

50

0.6953

52.891

7

20.365

52

1.9449

53.171

9

27.152

53.062

26.8357

1.018

1.869

51

0.7953

54.091

8

23.399

53

2.0448

54.371

9

27.234

54.194

27.0455

1.009

1.870

52

0.7953

55.091

8

23.413

54

2.0448

55.371

9

27.248

55.225

26.9491

1.011

1.870

53

0.7953

56.091

8

23.427

55

2.0448

56.371

9

27.262

56.207

26.8554

1.014

1.869

54

0.7953

57.091

8

23.441

56

2.0448

57.371

10

30.228

57.237

26.7643

1.016

1.869

55

0.7953

58.091

8

23.455

57

2.0448

58.371

10

30.242

58.220

26.6758

1.018

1.869

56

0.7953

59.091

8

23.469

58

2.0448

59.371

10

30.256

59.248

26.5896

1.020

1.868

57

0.7953

60.091

8

23.483

59

2.0448

60.371

10

30.270

60.232

26.5057

1.022

1.868

58

0.7953

61.091

8

23.497

60

2.0448

61.371

10

30.284

61.259

26.4241

1.024

1.868

59

0.8951

62.290

9

26.532

61

2.1446

62.571

10

30.367

62.396

26.6195

1.016

1.869

60

0.8951

63.290

9

26.546

62

2.1446

63.571

10

30.381

63.423

26.5395

1.018

1.869

61

0.8951

64.290

9

26.560

63

2.1446

64.571

11

33.347

64.408

26.4614

1.020

1.868

62

0.8951

65.290

9

26.574

64

2.1446

65.570

11

33.361

65.434

26.3853

1.022

1.868

63

0.8951

66.290

9

26.588

65

2.1446

66.570

11

33.375

66.419

26.3110

1.023

1.868

64

0.8951

67.290

9

26.602

66

2.1446

67.570

11

33.389

67.444

26.2385

1.025

1.868

65

0.8951

68.290

9

26.616

67

2.1446

68.570

11

33.403

68.430

26.1677

1.027

1.867

66

0.9950

69.490

10

29.650

68

2.2445

69.770

11

33.485

69.609

26.3511

1.019

1.868

67

0.9950

70.490

10

29.664

69

2.2445

70.770

11

33.499

70.595

26.2814

1.021

1.868

68

0.9950

71.490

10

29.678

70

2.2445

71.770

11

33.513

71.619

26.2133

1.023

1.868

69

0.9950

72.490

10

29.692

71

2.2445

72.770

12

36.479

72.606

26.1467

1.024

1.868

70

0.9950

73.490

10

29.706

72

2.2445

73.770

12

36.493

73.629

26.0816

1.026

1.867

71

0.9950

74.490

10

29.720

73

2.2445

74.770

12

36.507

74.616

26.0180

1.028

1.867

72

0.9950

75.490

10

29.734

74

2.2445

75.770

12

36.521

75.638

25.9557

1.029

1.867

73

1.0949

76.690

11

32.769

75

2.3444

76.970

12

36.604

76.781

26.1281

1.022

1.868

74

1.0949

77.690

11

32.783

76

2.3444

77.970

12

36.618

77.803

26.0666

1.024

1.868

75

1.0949

78.690

11

32.797

77

2.3444

78.970

12

36.632

78.791

26.0064

1.025

1.867

76

1.0949

79.690

11

32.811

78

2.3444

79.970

13

39.598

79.813

25.9474

1.027

1.867

77

1.0949

80.690

11

32.825

79

2.3444

80.970

13

39.612

80.801

25.8896

1.028

1.867

78

1.0949

81.690

11

32.839

80

2.3444

81.970

13

39.626

81.822

25.8329

1.030

1.867

79

1.0949

82.690

11

32.853

81

2.3444

82.970

13

39.640

82.810

25.7774

1.031

1.866

80

1.1949

83.890

11

32.935

82

2.4444

84.170

13

39.722

83.988

25.9399

1.025

1.868

81

1.1949

84.890

12

35.901

83

2.4444

85.170

13

39.736

84.977

25.8849

1.026

1.867

82

1.1949

85.890

12

35.915

84

2.4444

86.170

13

39.750

85.997

25.8310

1.028

1.867

83

1.1949

86.890

12

35.929

85

2.4444

87.170

13

39.764

86.986

25.7781

1.029

1.867

84

1.1949

87.890

12

35.943

86

2.4444

88.170

14

42.730

88.005

25.7262

1.030

1.867

85

1.1949

88.890

12

35.957

87

2.4444

89.170

14

42.744

1.7

88.995

25.6753

1.032

1.866

55.0415

86

1.1949

89.890

12

35.971

88

2.4444

90.170

14

42.758

90.014

25.6253

1.033

1.866

87

1.1949

90.890

12

35.985

89

2.4444

91.170

14

42.772

91.003

25.5761

1.034

1.866

88

1.2947

92.089

13

39.020

90

2.5442

92.369

14

42.855

92.180

25.7288

1.028

1.867

89

1.2947

93.089

13

39.034

91

2.5442

93.369

14

42.869

93.170

25.6801

1.029

1.867

90

1.2947

94.089

13

39.048

92

2.5442

94.369

14

42.883

94.188

25.6322

1.031

1.867

91

1.2947

95.089

13

39.062

93

2.5442

95.369

15

45.849

95.178

25.5852

1.032

1.866

92

1.2947

96.089

13

39.076

94

2.5442

96.369

15

45.863

96.196

25.5390

1.033

1.866

93

1.2947

97.089

13

39.090

95

2.5442

97.369

15

45.877

97.187

25.4935

1.034

1.866

94

1.2947

98.089

13

39.104

96

2.5442

98.369

15

45.891

98.204

25.4489

1.036

1.866

95

1.3945

99.289

13

39.186

97

2.6440

99.569

15

45.973

99.354

25.5936

1.030

1.867

96

1.3945

100.289

14

42.152

98

2.6440

100.569

15

45.987

100.371

25.5492

1.031

1.866

97

1.3945

101.289

14

42.166

99

2.6440

101.569

15

46.001

101.362

25.5055

1.032

1.866

98

1.3945

102.289

14

42.180

100

2.6440

102.569

15

46.015

102.379

25.4626

1.033

1.866

输出内齿轮3

重

合

度

ε_α1-3

齿廓重

叠干涉

验算

G_s1-3

啮

合

角

α'_1-3

共同参数

齿

数

z₃

变位

系数

x₃

顶圆

直径

d_a3

跨齿

槽数

k₃

公法线

长度

W_k3

量柱

直径

d_p3

量柱

测量距

M₃

量柱中心

圆压力角

α_M3

中心距

a'

模数

m

压力角

α

齿顶高

系数

h_a*

30

0.5741

29.571

5

14.098

1.7

28.767

22.2895

1.251

0.033

30.7423

1.64

1.0

20°

0.75

31

0.5741

30.571

5

14.112

29.728

22.2235

1.255

0.030

32

0.6739

31.771

5

14.194

30.947

22.9164

1.220

0.047

33

0.6739

32.771

5

14.208

31.910

22.8395

1.225

0.044

34

0.6739

33.771

5

14.222

32.949

22.7667

1.230

0.041

35

0.6739

34.771

5

14.236

33.914

22.6975

1.234

0.039

36

0.6739

35.771

6

17.202

34.951

22.6317

1.239

0.036

37

0.6739

36.771

6

17.216

35.918

22.5691

1.243

0.034

38

0.6739

37.771

6

17.230

36.953

22.5094

1.247

0.032

39

0.7739

38.971

6

17.312

38.098

23.0601

1.220

0.045

40

0.7739

39.971

6

17.326

39.132

22.9940

1.224

0.043

41

0.7739

40.971

6

17.340

40.103

22.9308

1.228

0.041

42

0.7739

41.971

6

17.354

41.134

22.8702

1.232

0.038

43

0.7739

42.971

6

17.368

42.106

22.8120

1.236

0.036

44

0.7739

43.971

7

20.335

43.137

22.7562

1.239

0.034

45

0.7739

44.971

7

20.349

44.110

22.7026

1.243

0.033

46

0.7739

45.971

7

20.363

45.139

22.6511

1.246

0.031

47

0.8738

47.171

7

20.445

46.289

23.1006

1.224

0.042

48

0.8738

48.171

7

20.459

47.317

23.0449

1.228

0.040

49

0.8738

49.171

7

20.473

48.292

22.9912

1.231

0.038

50

0.8738

50.171

7

20.487

49.319

22.9395

1.234

0.036

51

0.8738

51.171

8

23.453

50.296

22.8894

1.238

0.035

52

0.8738

52.171

8

23.467

51.322

22.8411

1.241

0.033

53

0.8738

53.171

8

23.481

52.299

22.7944

1.244

0.031

54

0.9737

54.371

8

23.563

53.499

23.1792

1.225

0.041

55

0.9737

55.371

8

23.577

54.478

23.1296

1.228

0.039

56

0.9737

56.371

8

23.591

55.502

23.0815

1.231

0.037

57

0.9737

57.371

8

23.605

1.7

56.481

23.0349

1.234

0.036

30.7423

1.64

1.0

20°

0.75

58

0.9737

58.371

8

23.619

57.504

22.9897

1.237

0.034

59

0.9737

59.371

9

26.586

58.484

22.9458

1.240

0.033

60

0.9737

60.371

9

26.600

59.507

22.9033

1.242

0.032

61

0.9737

61.371

9

26.614

60.487

22.8619

1.245

0.030

62

1.0735

62.570

9

26.696

61.684

23.1941

1.228

0.038

63

1.0735

63.570

9

26.710

62.665

23.1506

1.231

0.037

64

1.0735

64.570

9

26.724

63.687

23.1083

1.234

0.036

65

1.0735

65.570

9

26.738

64.669

23.0671

1.236

0.034

66

1.0735

66.570

10

29.704

65.689

23.0270

1.239

0.033

67

1.0735

67.570

10

29.718

66.672

22.9889

1.241

0.032

68

1.0735

68.570

10

29.732

67.692

22.9500

1.244

0.031

69

1.1734

69.770

10

29.814

68.849

23.2454

1.229

0.038

70

1.1734

70.770

10

29.828

69.869

23.2057

1.231

0.037

71

1.1734

71.770

10

29.842

70.852

23.1670

1.234

0.035

72

1.1734

72.770

10

29.856

71.871

23.1293

1.236

0.034

73

1.1734

73.770

10

29.870

72.856

23.0924

1.238

0.033

74

1.1734

74.770

11

32.837

73.874

23.0565

1.241

0.032

75

1.1734

75.770

11

32.851

74.859

23.0213

1.243

0.031

76

1.2734

76.970

11

32.933

76.051

23.2873

1.230

0.037

77

1.2734

77.970

11

32.947

77.036

23.2508

1.232

0.036

78

1.2734

78.970

11

32.961

78.054

23.2152

1.234

0.035

79

1.2734

79.970

11

32.975

79.039

23.1803

1.236

0.034

80

1.2734

80.970

11

32.989

80.056

23.1462

1.238

0.033

81

1.2734

81.970

11

33.003

81.042

23.1129

1.240

0.032

82

1.2734

82.970

12

35.969

82.059

23.0802

1.242

0.031

83

1.3733

84.170

12

36.051

83.219

23.3221

1.230

0.037

84

1.3733

85.170

12

36.065

84.236

23.2883

1.232

0.036

85

1.3733

86.170

12

36.079

85.222

23.2553

1.234

0.035

86

1.3733

87.170

12

36.093

86.239

23.2229

1.236

0.034

87

1.3733

88.170

12

36.107

87.225

23.1912

1.238

0.033

88

1.3733

89.170

12

36.121

88.241

23.1601

1.240

0.032

89

1.3733

90.170

13

39.088

89.229

23.1297

1.242

0.031

90

1.3733

91.170

13

39.102

90.244

23.0998

1.243

0.030

91

1.4731

92.369

13

39.184

91.405

23.3195

1.232

0.036

92

1.4731

93.369

13

39.198

92.420

23.2887

1.234

0.035

93

1.4731

94.369

13

39.212

93.408

23.2586

1.236

0.034

94

1.4731

95.369

13

39.226

94.423

23.2289

1.238

0.033

95

1.4731

96.369

13

39.240

95.411

23.1998

1.240

0.032

96

1.4731

97.369

13

39.254

96.426

23.1713

1.241

0.031

97

1.4731

98.369

14

42.220

97.414

23.1432

1.243

0.030

98

1.5729

99.569

14

42.302

98.602

23.3462

1.233

0.035

99

1.5729

100.569

14

42.316

99.591

23.3174

1.235

0.034

100

1.5729

101.569

14

42.330

100.605

23.2892

1.236

0.034

101

1.5729

102.569

15

42.344

101.594

23.2614