Week 8 - Universal Joint

Objective : Perform a transient structural analysis on universal joint connected to a fixed spring and analyze the stress generated in the spring by changing the spring material.

Model:

Connections :

Connection Type	Parts	Joint type
Body to ground	Gear shaft	revolute
Body to ground	Spring shaft	revolute
Body to ground	Spring	fixed
Body to Body	Ball and Shaft	revolute(8 in total)

Mesh:

Adaptive sizing : Yes

Element size : 5 mm

Meshed Model:

Simulation results:

Case 1: Structural Steel

https://drive.google.com/file/d/1_Uecke1XZqxmg7Ourt6PMNm0MRdnJ8n1/view?usp=sharing

Case 2: Stainless Steel

https://drive.google.com/file/d/1Q_HVJcP0oDvAAho8FeHuQbuNc7Y6zezW/view?usp=sharing

Case 3:Titanium alloy

https://drive.google.com/file/d/1Ohr2aILHmRhsFj3Igd0I0PavHPx3DB_C/view?usp=sharing

Simulation Snapshots:

Case 1 Equivalent stress:

Case 1 Total Deformation:

Case 2 Equivalent stress:

Case 2 Total Deformation:

Case 3 Equivalent stress:

Case 3 Total Deformation:

Tabulated Results:

Case	Material	Youngs Modulus	Max Equivalent stress(MPa)	Total Deformation(mm)
1	Structural Steel	2e05 MPa	1749	38.637
2	Stainless Steel	1.93e05 MPa	1694.1	38.637
3	Titanium Alloy	96000 MPa	859.9	38.637

Inference:

Young’s modulus is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Higher the Youngs modulus, higher will be the materials resistance to change in its dimensions under tension or compression. From the above table we see that as the Young's modulus is reduced the stress generated in the material is reduced. Titanium alloys are alloys that contain a mixture of titanium and other chemical elements. They are light in weight, have extraordinary corrosion resistance and the ability to withstand extreme temperatures. Springs that are needed to operate at high temperatures need to be made from titanium alloy. We can see that total deformation for all three cases is same because all the parameters and constraints are same for them.