Challenge

Week 8 Worm Gear Challenge

Objective

To perform a transient structural analysis on a worm gear assembly and to find out the Equivalent stress, Equivalent elastic strain and the total deformation in the model.

Procedure

Preprocessing

The transient analysis of the worm gear is simulated. The model is imported and it is opened in spaceclaim. In spaceclaim, the gear is cut into half by drawing a rectangle over the large gear and pulling it up in the negative direction. Then it is checked for any irregularities. If not, the spaceclaim is closed and the geometry is updated in the model scheme.

The material is usually structural steel material and the geometry is renamed for convenience. Now the contacts are established. A frictionless contact is employed by choosing all the contacting surfaces in the large gear. The contact body is the worm and the target body is the faces of the teeth in the larger gear.

Now the joints are established between the worm and the gear. A revolute ground-worm joint is created by selecting the interior faces of the worm. Another revolute ground-gear is selected by selecting the interior face of the gear.

The meshing of the geometry is carried out. Here the element size is selected as 1.2 mm with a medium smoothing. This element size created a 30827 elements and 17771 nodes which is very less than the 32K elements/nodes limit in student version.

The analysis settings for carrying out this simulation is given below

Step Controls

Number Of Steps 25.

Current Step Number 25.

Step End Time 25. S

Auto Time Stepping On

Define By Time

Carry Over Time Step Off

Initial Time Step 0.2 s

Minimum Time Step 0.2 s

Maximum Time Step 0.5 s

Time Integration On

Solver Controls

Solver Type Program Controlled

Weak Springs Program Controlled

Large Deflection On

Damping Controls

Stiffness Coefficient Define By Direct Input

Stiffness Coefficient 0.

Mass Coefficient 0.

Numerical Damping Program Controlled

Numerical Damping Value 0.1

The rotation of the worm is given in 25 steps with 50 degree increments. The large deflection is turned ON so that the convergence can be achieved easily.

Solution

The simulation is carried out and the results are obtained.

Total Deformation: 14.763 mm Max

Equivalent stress: 1293 MPa Max

Equivalent strain: 0.006275

Conclusion

The worm gear simulation is successfully done and the results are tabulated below

Solution

Output results

Total deformation, mm

14.763

Equivalent stress, MPa

1293

Equivalent strain, mm/mm

0.006275

It can be seen that the stress is high only at the surfaces of contact.

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