Inquiry about Damped Oscillators

[shanepitts]

Hello,
I have two quick inquiries related to my studies on analytical mechanics.

The first is I don't quite fathom how a full-width-half-maximum of the resonance of a forced and damped oscillator behaves in relation to the Q-factor??

And the second is does the amplitude of a forced and damped harmonic oscillator become infinite at resonance? I know that when the frequency from both the force and damped oscillator are equal the damped oscillator become infinite but they do they both become infinite??

thanks

 

[olivermsun]

This came up in a thread a few weeks ago, but this link might be helpful since it contains some of the expressions for the damping and the relationship between bandwidth and Q:

Wikipedia on Q factor.