Frequency Analysis of a rotating shaft using SolidWorks

Objective:-

To find out 5 different frequency mode shapes of the given rotational shaft and list the resonant frequencies as well.

Theory:-

Every structure has a certain frequency at which it has a tendency to vibrate, this is called its natural or resonant frequency. This resonant frequency is associated with a particular shape that the structure tends to assume when vibrating, this is called mode shape. In practical, we should create the structure in such a way that it doesn\'t vibrate at its resonant frequency. Hence, Frequency analysis becomes vital for the design of any structure.

Procedure:-

First, the model was created with random dimensions, the model is given below:-

After the design is complete, frequency study was conducted on this model. For the frequency following parameters were fixed:-

Material = Alloy Steel,

Fixture = Bearing fixture on both the stepped faces.

mesh = very fine mesh

mode shapes = 5

The meshed structure is given below:-

After this, the simulation was run and the 5 mode shapes were as follows:-

Mode 1:-

Mode 2:-

Mode 3:-

Mode 4:-

Mode 5:-

Result:-

Resonant Frequencies:-

Frequency vs Mode Graph:-

Now, that we know the particular resonant frequency for each mode shape, we should provide a damper with a particular frequency so that this shaft is nowhere close to its resonant frequency.