Free Vibrations of a Spring-Mass-Damper System
Free Vibrations of a Spring-Mass-Damper System
The derivation here follows the usual form given in [1], in which , , and are the mass, damping coefficient, and spring stiffness, respectively. The variable in this system is . Applying Newton's second law gives the differential equation +2n+x=0, where =k/m and .
m
c
k
x(t)
¨
x
x
2
p
2
p
2n=c/2