Inquiry about Damped Oscillators

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    Damped Oscillators
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The discussion centers on two inquiries regarding analytical mechanics, specifically the behavior of a forced and damped oscillator. The first question addresses the relationship between the full-width-half-maximum of resonance and the Q-factor, indicating a need for clarification on how these concepts interact. The second inquiry explores whether the amplitude of a forced and damped harmonic oscillator becomes infinite at resonance, questioning if both the driving force and the damped oscillator reach infinite amplitude simultaneously. A reference to a previous thread and a Wikipedia link is provided for further information on damping and the Q-factor relationship. Understanding these concepts is crucial for grasping the dynamics of oscillatory systems.
shanepitts
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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
 
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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.
 
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