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Natural Frequency of transverse vibration using Abaqus software and Mechanical vibrations book

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

In this training video we first calculate the natural frequency of transverse vibration using the Analytical Solution, and in the next step , calculate the natural frequency of transverse 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 transverse vibration from the Analytical Solution is equal to 11.887 Hertz

The natural frequency of transverse vibration from the Abaqus software is equal to 11.877 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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