# Spring-Mass-Damping System with Two Degrees of Freedom

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This Demonstration shows the dynamics of a spring-mass-damping system with two degrees of freedom under external forces. The motion of the system is represented by the positions and of the masses and at time . Both masses have a spring connected to a stationary base, with spring constants and ; also for the spring connecting the two masses. The motion of the masses is damped, with damping factors and ; also for damping between the two masses. The masses are acted upon by external forces and .

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Contributed by: Frederick Wu (November 2015)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

References

[1] S. S. Rao, *Mechanical Vibrations*, 5th ed., Upper Saddle River, NJ: Prentice Hall, 2011 pp. 472–477.

[2] K. Ogata, *System Dynamics*, 4th ed., New York: Prentice Hall, 2004 pp. 453–458.

## Permanent Citation

"Spring-Mass-Damping System with Two Degrees of Freedom"

http://demonstrations.wolfram.com/SpringMassDampingSystemWithTwoDegreesOfFreedom/

Wolfram Demonstrations Project

Published: November 24 2015