Calculating the Natural Frequency of Mass-Spring System using the Analytical Solution and Abaqus software

Calculating the Natural Frequency of Mass-Spring System using the Analytical Solution and Abaqus software

In this example, we intend to calculate the Natural Frequency of Mass-Spring System using the Analytical Solution and Abaqus software

As you observe in the picture, Stiffness of spring (K) is equal to 200 N/m and the Concentrated Mass is equal to 3 kg

In this problem, first, the natural frequency is calculated utilizing the Analytical Solution and following that, that is calculated using the Abaqus software and finally, the results obtained from the Abaqus software will be compared with those of the Analytical Solution

As you observe, the natural frequency obtained from the Abaqus software is equal to 1.3 Hertz

As you observe, the natural frequency obtained from the Analytical Solution is equal to 1.3 Hertz

As you observe, the natural frequency having been obtained from the Abaqus software is exactly concordant with the Analytical Solution