[DPRG] RE: Critically Damped?
Subject: [DPRG] RE: Critically Damped?
From: Lance Rose
LRose at pilgrimspride.com
Date: Wed May 28 12:20:01 CDT 2003
I respectfully request that all future post be posted in english (or with an
english translation). ;)
I think I understood about 4 words of this one...
> My ancient circuits book reminded me that the roots of the
> characteristic
> equation determine the dampedness of the system (in this case, an RLC
> circuit, since it doesn't contain any "zeros", only "poles"
> The "poles"
> determine the stability of the system, if I remember
> correctly). Terrible,
> longsuppressed nightmares of Bode plots and frequency
> response diagrams
> reentered my consciousness. Anyhow, there are three
> possible solutions:
>
> 1) The roots may be real and distinct, if the square of the
> radian frequency is greater than the square of the neper
> frequency. The
> system is then underdamped.
>
> 3) The roots may be real and equal, if the square of the
> resonant radian
> frequency is equal to the square of the neper frequency. The
> system is then
> critically damped.
>
>
> A square wave passing through an underdamped circuit can "ring", or
> oscillate appreciably before settling. An overdamped
> circuit's output can
> approach the final value asymptotically, and perhaps never
> quite reach it.
> (Depending on how underdamped or overdamped the circuit is).
>
> Here's my question...I seem to recall an interesting bit of
> arcane trivia
> about a critically damped system, perhaps related to the 90%
> settling time
> or the area under the curve or something. Can anyone enlighten?
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