Equation of motion for the mass-spring-damper system using the exact solution and the Abaqus software

In this example we intend to obtain the equation of motion for the mass-spring-damper system using the exact solution and the Abaqus software

The steel bar with a length of one meter has been hinged about the point O. Two springs have been connected to both ends of the bar and one damper has also been fastened to the middle of the bar and this bar can only rotate about the point O.The whole bar starts rotating at the initial velocity of 10 Radian/second

Actually we intend to compare the results having been obtained from the Abaqus software with those gained from the exact solution

The purpose of this analysis is to obtain the equation of motion , the period and natural angular frequency using the exact solution as well as the Abaqus software

equation of motion from exact solution
equation of motion from Abaqus
Comparison between exact solution and Abaqus

Information about this tutorial

Full video (Step by step)


Cae file


inp file


Excel file (Results)


Picture (Exact analytical solution ,manual solution )

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English

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Is 52 minutes

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Is 75 MB

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