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 [DPRG] RE: Critically Damped? Message index sorted by: [ date ] [ thread ] [ subject ] [ author ] Previous message: [DPRG] Critically Damped? Next message: [DPRG] Update : Computer room 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, > long-suppressed nightmares of Bode plots and frequency > response diagrams > re-entered 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? ``` Previous message: [DPRG] Critically Damped? Next message: [DPRG] Update : Computer room Message index sorted by: [ date ] [ thread ] [ subject ] [ author ] More information about the DPRG mailing list