Challenge

Universal Joint

Aim:

To perform a transient structural analysis on a double universal joint with a spring in ANSYS-WORKBENCH.

Objective:

There must be three materials used on the joint with the springs alone and the materials are Structural Steel, Stainless Steel and Titanium alloy.

Procedure:

Initially, we will be importing the geometry model into ANSYS-WORKBENCH and then check for any geometrical errors in the same.

After which we will proceed to give Connections for the case setup model. For this simulation we will be only studying about the solution parameters occurring at the spring so we won’t be providing any contacts for the case setup model rather we will be providing only the joints for the model which will transmit the motion throughout the universal joint.

The first type of Joint will be Fixed which is to be given only the corner face of the spring model as shown in the image below.

Now, we will be providing Revolute Joint as Ground to Body for the both the joints and the rotation co-ordinating properly to the global co-ordinate axis as shown in the two images below.

Finally for the connections we will be providing Revolute Joints with Body to Body option so that the motion is transmitted and the faces to be selected are shown in the image below.

After selecting all the required joints for the Revolute Joint with Body to Body option it will be seen as shown in the image below.

Then we will be providing mesh for the setup model and to obtain accurate values we must provide the element size such that the setup model will have a refined mesh.

Now, for the boundary conditions we will be providing Joint Rotation for one of the joints and the values will be entered in tabular data for the given time steps respectively as shown in the image below.

Simulation:

Case 1:

Total Deformation:

Time [s]

Minimum [mm]

Maximum [mm]

Average [mm]

1

0.1

0

1.0471

0.49247

2

0.2

0

2.0934

0.9849

3

0.3

0

3.1384

1.477

4

0.4

0

4.1811

1.9687

5

0.5

0

5.221

2.4597

6

0.6

0

6.2574

2.9497

7

0.7

0

7.2894

3.4387

8

0.8

0

8.3165

3.9263

9

0.9

0

9.3378

4.4122

10

1

0

10.353

4.8964

11

1.1

0

11.361

5.3784

12

1.2

0

12.361

5.8582

13

1.3

0

13.352

6.3352

14

1.4

0

14.335

6.8094

15

1.5

0

15.307

7.2803

16

1.6

0

16.269

7.7477

17

1.7

0

17.22

8.2113

18

1.8

0

18.16

8.6706

19

1.9

0

19.086

9.1253

20

2

0

20

9.575

21

2.1

0

20.9

10.019

22

2.2

0

21.786

10.458

23

2.3

0

22.656

10.89

24

2.4

0

23.511

11.316

25

2.5

0

24.35

11.735

26

2.6

0

25.173

12.146

27

2.7

0

25.978

12.549

28

2.8

0

26.765

12.944

29

2.9

0

27.534

13.33

30

3

0

28.284

13.707

31

3.1

0

29.015

14.075

32

3.2

0

29.726

14.432

33

3.3

0

30.416

14.779

34

3.4

0

31.086

15.116

35

3.5

0

31.734

15.442

36

3.6

0

32.361

15.756

37

3.7

0

32.965

16.059

38

3.8

0

33.547

16.351

39

3.9

0

34.106

16.631

40

4

0

34.641

16.899

41

4.1

0

35.153

17.155

42

4.2

0

35.64

17.399

43

4.3

0

36.103

17.63

44

4.4

0

36.542

17.85

45

4.5

0

36.955

18.057

46

4.6

0

37.343

18.252

47

4.7

0

37.706

18.435

48

4.8

0

38.042

18.605

49

4.9

0

38.353

18.763

50

5

0

38.637

18.909

Simulation Video - https://drive.google.com/file/d/1wyU1aiWxob3B5MqQ8NXcP35AATYWntUi/view?usp=sharing

Equivalent Stress:

Time [s]

Minimum [MPa]

Maximum [MPa]

Average [MPa]

1

0.1

1.13E-07

25.794

1.0777

2

0.2

2.50E-07

51.972

2.1534

3

0.3

2.95E-07

78.528

3.2279

4

0.4

5.48E-07

105.49

4.3004

5

0.5

5.63E-07

132.83

5.3721

6

0.6

6.61E-07

160.58

6.4418

7

0.7

5.53E-07

188.73

7.511

8

0.8

5.97E-07

217.3

8.5784

9

0.9

7.19E-07

246.26

9.6452

10

1

5.66E-07

275.65

10.71

11

1.1

5.45E-07

305.44

11.775

12

1.2

4.14E-07

335.64

12.839

13

1.3

5.05E-07

366.25

13.902

14

1.4

4.83E-07

397.26

14.964

15

1.5

3.40E-07

428.67

16.025

16

1.6

3.51E-07

460.47

17.086

17

1.7

2.69E-07

492.66

18.146

18

1.8

2.50E-07

525.22

19.206

19

1.9

2.16E-07

558.15

20.265

20

2

1.85E-07

591.43

21.325

21

2.1

1.41E-07

625.06

22.384

22

2.2

1.43E-07

659.01

23.443

23

2.3

1.43E-07

693.27

24.502

24

2.4

1.25E-07

727.82

25.56

25

2.5

9.35E-08

762.64

26.62

26

2.6

7.91E-08

797.72

27.679

27

2.7

5.01E-08

833.02

28.739

28

2.8

6.65E-08

868.53

29.799

29

2.9

4.26E-08

904.22

30.859

30

3

4.47E-08

940.07

31.92

31

3.1

1.35E-08

976.05

32.982

32

3.2

2.94E-08

1012.1

34.044

33

3.3

1.32E-08

1048.3

35.107

34

3.4

2.03E-08

1084.5

36.171

35

3.5

1.10E-08

1120.7

37.235

36

3.6

1.24E-08

1156.9

38.3

37

3.7

9.40E-09

1193

39.367

38

3.8

1.04E-08

1229.1

40.434

39

3.9

6.90E-09

1265

41.502

40

4

1.43E-08

1300.8

42.571

41

4.1

5.32E-09

1336.5

43.641

42

4.2

1.49E-08

1371.9

44.712

43

4.3

6.07E-09

1407.2

45.784

44

4.4

1.28E-08

1442.2

46.856

45

4.5

4.93E-09

1476.9

47.93

46

4.6

1.12E-08

1511.3

49.005

47

4.7

6.23E-09

1545.3

50.08

48

4.8

1.13E-08

1579.1

51.157

49

4.9

7.68E-09

1612.4

52.234

50

5

1.13E-08

1645.3

53.312

Simulation Video - https://drive.google.com/file/d/14TYiQRlNaruahLTuS3QRT-7aWrKek_Hl/view?usp=sharing

Case 2:

Total Deformation:

Time [s]

Minimum [mm]

Maximum [mm]

Average [mm]

1

0.1

0

1.0471

0.49247

2

0.2

0

2.0934

0.98489

3

0.3

0

3.1384

1.477

4

0.4

0

4.1811

1.9687

5

0.5

0

5.221

2.4596

6

0.6

0

6.2574

2.9497

7

0.7

0

7.2894

3.4386

8

0.8

0

8.3165

3.9262

9

0.9

0

9.3378

4.4122

10

1

0

10.353

4.8963

11

1.1

0

11.361

5.3784

12

1.2

0

12.361

5.8581

13

1.3

0

13.352

6.3352

14

1.4

0

14.335

6.8093

15

1.5

0

15.307

7.2803

16

1.6

0

16.269

7.7477

17

1.7

0

17.22

8.2112

18

1.8

0

18.16

8.6705

19

1.9

0

19.086

9.1252

20

2

0

20

9.5749

21

2.1

0

20.9

10.019

22

2.2

0

21.786

10.458

23

2.3

0

22.656

10.89

24

2.4

0

23.511

11.316

25

2.5

0

24.35

11.735

26

2.6

0

25.173

12.146

27

2.7

0

25.978

12.549

28

2.8

0

26.765

12.944

29

2.9

0

27.534

13.33

30

3

0

28.284

13.707

31

3.1

0

29.015

14.075

32

3.2

0

29.726

14.432

33

3.3

0

30.416

14.779

34

3.4

0

31.086

15.116

35

3.5

0

31.734

15.441

36

3.6

0

32.361

15.756

37

3.7

0

32.965

16.059

38

3.8

0

33.547

16.351

39

3.9

0

34.106

16.631

40

4

0

34.641

16.899

41

4.1

0

35.153

17.155

42

4.2

0

35.64

17.398

43

4.3

0

36.103

17.63

44

4.4

0

36.542

17.85

45

4.5

0

36.955

18.057

46

4.6

0

37.343

18.252

47

4.7

0

37.706

18.435

48

4.8

0

38.042

18.605

49

4.9

0

38.353

18.763

50

5

0

38.637

18.909

Simulation Video - https://drive.google.com/file/d/1UoTKs2CRDSyaZzbAJa69xLqmAjD1qMMU/view?usp=sharing

Equivalent Stress:

Time [s]

Minimum [MPa]

Maximum [MPa]

Average [MPa]

1

0.1

1.13E-07

24.984

1.0412

2

0.2

2.50E-07

50.339

2.0805

3

0.3

2.95E-07

76.059

3.1187

4

0.4

5.48E-07

102.17

4.1548

5

0.5

5.63E-07

128.65

5.1904

6

0.6

6.75E-07

155.53

6.224

7

0.7

5.53E-07

182.79

7.257

8

0.8

6.20E-07

210.45

8.2884

9

0.9

7.20E-07

238.5

9.3192

10

1

5.91E-07

266.95

10.349

11

1.1

5.44E-07

295.79

11.378

12

1.2

4.27E-07

325.03

12.405

13

1.3

5.06E-07

354.66

13.432

14

1.4

4.84E-07

384.69

14.459

15

1.5

3.40E-07

415.09

15.484

16

1.6

3.51E-07

445.88

16.51

17

1.7

2.71E-07

477.03

17.534

18

1.8

2.49E-07

508.55

18.558

19

1.9

2.16E-07

540.42

19.582

20

2

1.85E-07

572.64

20.606

21

2.1

1.41E-07

605.18

21.63

22

2.2

1.43E-07

638.03

22.653

23

2.3

1.43E-07

671.18

23.676

24

2.4

1.24E-07

704.61

24.7

25

2.5

9.34E-08

738.31

25.723

26

2.6

7.86E-08

772.24

26.747

27

2.7

4.99E-08

806.4

27.771

28

2.8

6.67E-08

840.75

28.796

29

2.9

4.27E-08

875.27

29.821

30

3

4.46E-08

909.94

30.846

31

3.1

1.38E-08

944.74

31.872

32

3.2

2.95E-08

979.63

32.899

33

3.3

1.32E-08

1014.6

33.926

34

3.4

2.04E-08

1049.6

34.954

35

3.5

1.09E-08

1084.6

35.983

36

3.6

1.24E-08

1119.6

37.012

37

3.7

9.33E-09

1154.5

38.042

38

3.8

1.05E-08

1189.4

39.074

39

3.9

6.78E-09

1224.1

40.106

40

4

1.41E-08

1258.8

41.139

41

4.1

5.38E-09

1293.2

42.172

42

4.2

1.48E-08

1327.5

43.207

43

4.3

6.02E-09

1361.5

44.243

44

4.4

1.29E-08

1395.3

45.279

45

4.5

5.17E-09

1428.9

46.317

46

4.6

1.12E-08

1462.1

47.355

47

4.7

6.33E-09

1495

48.394

48

4.8

1.13E-08

1527.6

49.434

49

4.9

7.64E-09

1559.8

50.474

50

5

1.12E-08

1591.6

51.515

Simulation Video - https://drive.google.com/file/d/1o9v8e_e1vSkuAG_uESJv5y-OQFm0hIvm/view?usp=sharing

Case 3:

Total Deformation:

Time [s]

Minimum [mm]

Maximum [mm]

Average [mm]

1

0.1

0

1.0471

0.49244

2

0.2

0

2.0934

0.98484

3

0.3

0

3.1384

1.4769

4

0.4

0

4.1811

1.9686

5

0.5

0

5.221

2.4595

6

0.6

0

6.2574

2.9496

7

0.7

0

7.2894

3.4385

8

0.8

0

8.3165

3.926

9

0.9

0

9.3378

4.412

10

1

0

10.353

4.8961

11

1.1

0

11.361

5.3781

12

1.2

0

12.361

5.8578

13

1.3

0

13.352

6.3349

14

1.4

0

14.335

6.809

15

1.5

0

15.307

7.2799

16

1.6

0

16.269

7.7473

17

1.7

0

17.22

8.2107

18

1.8

0

18.16

8.67

19

1.9

0

19.086

9.1247

20

2

0

20

9.5744

21

2.1

0

20.9

10.019

22

2.2

0

21.786

10.457

23

2.3

0

22.656

10.89

24

2.4

0

23.511

11.315

25

2.5

0

24.35

11.734

26

2.6

0

25.173

12.145

27

2.7

0

25.978

12.548

28

2.8

0

26.765

12.943

29

2.9

0

27.534

13.329

30

3

0

28.284

13.706

31

3.1

0

29.015

14.074

32

3.2

0

29.726

14.431

33

3.3

0

30.416

14.778

34

3.4

0

31.086

15.115

35

3.5

0

31.734

15.441

36

3.6

0

32.361

15.755

37

3.7

0

32.965

16.058

38

3.8

0

33.547

16.35

39

3.9

0

34.106

16.63

40

4

0

34.641

16.897

41

4.1

0

35.153

17.153

42

4.2

0

35.64

17.397

43

4.3

0

36.103

17.629

44

4.4

0

36.542

17.848

45

4.5

0

36.955

18.056

46

4.6

0

37.343

18.251

47

4.7

0

37.706

18.433

48

4.8

0

38.042

18.604

49

4.9

0

38.353

18.762

50

5

0

38.637

18.908

Simulation Video - https://drive.google.com/file/d/1JPLohwv7V3Iv05fzct3ehB21KXq4ErQu/view?usp=sharing

Equivalent Stress:

Time [s]

Minimum [MPa]

Maximum [MPa]

Average [MPa]

1

0.1

1.31E-07

12.696

0.5218

2

0.2

3.07E-07

25.579

1.0429

3

0.3

2.79E-07

38.644

1.5639

4

0.4

5.09E-07

51.905

2.0842

5

0.5

5.62E-07

65.351

2.6046

6

0.6

5.07E-07

78.998

3.1243

7

0.7

5.54E-07

92.834

3.6442

8

0.8

3.90E-07

106.87

4.1637

9

0.9

6.72E-07

121.1

4.6831

10

1

3.32E-07

135.54

5.2023

11

1.1

5.44E-07

150.16

5.7215

12

1.2

4.41E-07

164.99

6.2404

13

1.3

5.05E-07

180.01

6.7594

14

1.4

3.37E-07

195.22

7.2782

15

1.5

3.40E-07

210.62

7.7971

16

1.6

2.74E-07

226.21

8.316

17

1.7

2.70E-07

241.99

8.8349

18

1.8

2.50E-07

257.94

9.3538

19

1.9

2.16E-07

274.06

9.8728

20

2

1.85E-07

290.36

10.392

21

2.1

1.40E-07

306.81

10.911

22

2.2

1.43E-07

323.42

11.43

23

2.3

1.43E-07

340.17

11.95

24

2.4

1.25E-07

357.05

12.469

25

2.5

9.35E-08

374.07

12.989

26

2.6

7.86E-08

391.19

13.509

27

2.7

5.01E-08

408.43

14.029

28

2.8

6.64E-08

425.75

14.55

29

2.9

4.22E-08

443.16

15.07

30

3

4.42E-08

460.63

15.591

31

3.1

1.34E-08

478.15

16.112

32

3.2

2.94E-08

495.72

16.633

33

3.3

1.34E-08

513.31

17.155

34

3.4

2.04E-08

530.92

17.677

35

3.5

1.11E-08

548.52

18.199

36

3.6

1.25E-08

566.11

18.721

37

3.7

9.49E-09

583.67

19.243

38

3.8

1.07E-08

601.17

19.766

39

3.9

6.98E-09

618.62

20.289

40

4

1.36E-08

635.99

20.812

41

4.1

5.38E-09

653.27

21.335

42

4.2

1.49E-08

670.45

21.859

43

4.3

6.24E-09

687.51

22.382

44

4.4

1.40E-08

704.44

22.906

45

4.5

5.09E-09

721.23

23.43

46

4.6

1.24E-08

737.86

23.954

47

4.7

4.28E-09

754.33

24.478

48

4.8

1.05E-08

770.61

25.002

49

4.9

5.21E-09

786.71

25.526

50

5

1.00E-08

802.61

26.05

Simulation Video - https://drive.google.com/file/d/11WEkA8dIQWcTF9qpEfPzgv4_JNi8ol6l/view?usp=sharing

Tabulation:

Cases

Max. Total Deformation (mm)

Max. Equivalent Stress (MPa)

Case 1

38.637

1645.3

Case 2

38.637

1591.6

Case 3

38.637

802.61

Comparison:

From the simulation results we can say that the Max. Total Deformation of all the Cases i.e., for all the three materials remains the same.

By comparing the values of Max. Equivalent Stress for the three cases, we can see that for the Cases 1 and 2 i.e., the materials Structural Steel and Stainless Steel there is high stress on the spring when compared to Case 3 i.e., the material Titanium Alloy.

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