渐开线函数表(invα＝tanα-α)

　　分

度

0

5'

10'

15'

20'

25'

30'

35'

40'

45'

50'

55'

61°

0.73940

0.74415

0.74893

0.75375

0.75859

0.76348

0.76839

0.77334

0.77833

0.78335

0.78840

0.79350

62°

0.79862

0.80378

0.80898

0.81422

0.81949

0.82480

0.83015

0.83554

0.84096

0.84643

0.85193

0.85747

63°

0.86305

0.86868

0.87434

0.88004

0.88579

0.89158

0.89741

0.90328

0.90919

0.91515

0.92115

0.92720

64°

0.93329

0.93943

0.94561

0.95184

0.95812

0.96444

0.97081

0.97722

0.98369

0.99020

0.99677

1.00338

65°

1.01004

1.01676

1.02352

1.03034

1.03721

1.04413

1.05111

1.05814

1.06522

1.07236

1.07956

1.08681

66°

1.09412

1.10149

1.10891

1.11639

1.12393

1.13154

1.13920

1.14692

1.15471

1.16256

1.17047

1.17844

67°

1.18648

1.19459

1.20276

1.21100

1.21930

1.22767

1.23612

1.24463

1.25321

1.26187

1.27059

1.27939

68°

1.28826

1.29721

1.30623

1.31533

1.32451

1.33376

1.34310

1.35251

1.36201

1.37158

1.38124

1.39098

69°

1.40081

1.41073

1.42073

1.43081

1.44099

1.45126

1.46162

1.47207

1.48261

1.49325

1.50399

1.51488

70°

1.52575

1.53678

1.54791

1.55914

1.57047

1.58191

1.59346

1.60511

1.61687

1.62874

1.64072

1.65282

71°

1.66503

1.67735

1.68980

1.70236

1.71504

1.72785

1.74077

1.75383

1.76701

1.78032

1.79376

1.80734

72°

1.82105

1.83489

1.84888

1.86300

1.87726

1.89167

1.90623

1.92094

1.93579

1.95080

1.96596

1.98128

73°

1.99676

2.01240

2.02821

2.04418

2.06032

2.07664

2.09313

2.10979

2.12664

2.14366

2.16088

2.17828

74°

2.19587

2.21366

2.23164

2.24981

2.26821

2.28681

2.30561

2.32463

2.34387

2.36332

2.38301

2.40291

75°

2.42305

2.44343

2.46405

2.48491

2.50601

2.52737

2.54899

2.57087

2.59301

2.61542

2.63811

2.66108

76°

2.68433

2.70787

2.73171

2.75585

2.78029

2.80505

2.83012

2.85552

2.88125

2.90731

2.93371

2.96046

77°

2.98757

3.01504

3.04288

3.07110

3.09970

3.12869

3.15808

3.18788

3.21809

3.24873

3.27980

3.31131

78°

3.34327

3.37570

3.40859

3.44197

3.47583

3.51020

3.54507

3.58047

3.61641

3.65289

3.68993

3.72755

79°

3.76574

3.80454

3.84395

3.88398

3.92465

3.96598

4.00798

4.05067

4.09406

4.13817

4.18302

4.22863

80°

4.27502

4.32220

4.37020

4.41903

4.46872

4.51930

4.57077

4.62318

4.67654

4.73088

4.87622

4.84260

81°

4.90003

4.95856

5.01822

5.07902

5.14102

5.20424

5.26871

5.33448

5.40159

5.47007

5.53997

5.61133

82°

5.68420

5.75862

5.83465

5.91233

5.99172

6.07288

6.15586

6.24073

6.32754

6.41638

6.50731

6.60040

83°

6.69572

6.79337

6.89342

6.99597

7.10111

7.20893

7.31954

7.43305

7.54957

7.66922

7.79214

7.91844

84°

8.04829

8.18182

8.31919

8.46057

8.60614

8.75608

8.91059

9.06989

9.23420

9.40375

9.57881

9.75964

85°

9.94652

10.13978

10.33973

10.54673

10.76116

10.98342

11.21395

11.45321

11.70172

11.96001

12.22866

12.50833

86°

12.79968

13.10348

13.42052

13.75170

14.09798

14.46041

14.84015

15.23845

15.65672

16.09649

16.55945

17.04749

87°

17.56270

18.10740

18.68421

19.29603

19.94615

20.63827

21.37660

22.16592

23.01168

23.92017

24.89862

25.95542

88°

27.10036

28.34495

29.70278

31.19001

32.82606

34.63443

36.64384

38.88976

41.41655

44.28037

47.55344

51.33022

89°

55.73661

60.94435

67.19383

74.83229

84.38062

96.65731

113.02656

135.94389

170.32037

227.61514

342.20561

685.97868

注：α≤60°时，参见齿轮传动部分的相应表，该表中的θ与本表的α等效。