Page 3 - Vibrations 5
P. 3
= √ = =
2
is a dimensionless damping ratio where c c is the critical
damping.
Use the trial solution,
=
You will get,
2
/ /
= =
2
2
2
− + 2 1 − ( ) + 2/
Leaving
1
= = [ ]
2
1 − ( ) + 2/
Leaving
1
() = [ 2 ]
1 − ( ) + 2/
The displacement can be represented as real and
imaginary,
2
