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**Natural Frequency of longitudinal vibration using Abaqus software and Mechanical vibrations book**

**In this example, we intend to calculate the Natural Frequency of longitudinal vibration for cantilever beam with concentrated mass in the Abaqus software**

**In this training video we first calculate the natural frequency of longitudinal vibration using the Analytical Solution, and in the next step , calculate the natural frequency of longitudinal 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 is composed of a Cantilever beam and a concentrated mass. The beam is made of Steel and the concentrated mass is equal to 20 kg**

**The natural frequency of longitudinal vibration from the Analytical Solution is equal to 594.41 Hertz**

**The natural frequency of longitudinal vibration from the Abaqus software is equal to 577.44 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**

**The difference of results of between the Abaqus software and the Analytical Solution is about 2.85%**

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