Timeline for How is a resonant bandpass filter similar/different from a damped mass-spring oscillator? They seem to behave both similar and different in testing
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Jan 21 at 20:09 | vote | accept | mike | ||
| Jan 21 at 9:10 | comment | added | mike | Yes I think that is what is happening @basics. I heard the noise burst and thought "How is my exciter noise burst passing through? Is it a high pass?" I didn't think perhaps I was actually just creating a new noise burst. But that seems to be what is happening. | |
| Jan 21 at 9:07 | comment | added | basics | You're using a time explicit integration scheme. This could lead to a numerical explosive (unphysical) behavior of the simulation | |
| Jan 21 at 8:52 | history | edited | mike | CC BY-SA 4.0 |
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| Jan 21 at 8:49 | comment | added | mike | Maybe it is an artefact of the simple mass-spring code (quantization error from the conversion into force) and I am getting a burst of noise from that which sounds equivalent to my exciter signal. That might make sense. I didn't think of that possibility. I assumed the exciter noise burst was passing through, rather than that perhaps a new noise burst was being generated. Based on what everyone is saying about the equivalence being certain, that makes more sense. Thanks. | |
| Jan 21 at 8:43 | comment | added | FlatterMann | If you are applying a periodic force to a mass (without spring) it automatically acts like a low pass. The behavior you are describing is an implementation issue. | |
| Jan 21 at 8:42 | answer | added | basics | timeline score: 2 | |
| Jan 21 at 8:38 | comment | added | mike | @FlatterMann, based on my experience, I don't think a resonant bandpass is the same as a harmonic oscillator. Sure there might be stability issues, but I have already now simulated a harmonic oscillator. Even when running stable, it is letting the full or at least high freq noise burst through. This suggests to me that it is more of a resonant high pass filter. ie. A damped mass-spring harmonic oscillator can be forced into rapid higher frequency oscillations in a way a resonant bandpass can't. Unless I made an error in my code? I don't think I did. It's pretty simple. | |
| Jan 21 at 8:35 | comment | added | FlatterMann | This is really about numerical integration for all I can tell. Naive numerical integration schemes like the Euler method have problems. They tend to cause instabilities, don't conserve energy etc.. The same applies to filters. As soon as you go closer to the sampling frequency the naive filter will have a very different cutoff/resonance frequency than expected. The correct design procedures are explained in the literature. With regards to the physics question... what physicists call a harmonic oscillator is, as you point out correctly, known as a resonant bandpass in electrical engineering. | |
| Jan 21 at 8:34 | comment | added | Jagerber48 | Also reviewing the code is out of scope for physics stack exchange I think this question needs to be focused down | |
| Jan 21 at 8:33 | comment | added | Jagerber48 | The title asks about comparing spring mass oscillator to band pass filter. These are essentially the same. But the question is then asking about arrays of oscillators. This could bring in complication. | |
| Jan 21 at 8:19 | history | asked | mike | CC BY-SA 4.0 |