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**Natural Frequency of torsional vibration using Abaqus software and Analytical Solution**

**In this example, we intend to calculate the Natural Frequency of torsional vibration for plate mounted to the shaft in the Abaqus software**

**In this training video we first calculate the natural frequency of torsional vibration using the Analytical Solution, and in the next step , calculate the natural frequency of torsional vibration using the Abaqus Software, and in the final step, compare the results obtained from the Abaqus software with those gained from the Analytical Solution**

**As you observe in the picture, the Model includes Shaft and plate. The Shaft and plate are made of Steel **

**The natural frequency of torsional vibration from the Analytical Solution is equal to 8.966 Hertz**

**The natural frequency of torsional vibration from the Abaqus software is equal to 8.7538 Hertz**

**As you observe, the results obtained from the Abaqus software is quite in conformity with the Analytical Solution and indicates that the problem has been simulated correctly in the Abaqus software**

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