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
.
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