Timeline for What is the (approximate) function for amplitude of a plucked string over time? Does it differ between string types?
Current License: CC BY-SA 4.0
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| Dec 17, 2018 at 7:01 | comment | added | Olli Niemitalo | @DietrichEpp Thanks for explaining that. My logic is that only one of the modes will survive after all the others have died out, and from that point on the vibration will be sinusoidal and the decay exponential. It is true that it will take a long time for this to happen, possibly long enough that the phenomenon will be obscured by environmental/microphone noise. | |
| Dec 17, 2018 at 2:47 | comment | added | Dietrich Epp | It is not strictly true that the decay will be exponential if the oscillation is small enough to be linear, because the envelope will contain all the different vibrational modes, and each mode has its own decay constant. You can see this if you plot the envelope on a log scale, and the effect is not limited just to near the attack. | |
| Dec 16, 2018 at 23:20 | history | edited | Olli Niemitalo | CC BY-SA 4.0 |
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| Dec 16, 2018 at 22:54 | history | edited | Olli Niemitalo | CC BY-SA 4.0 |
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| Dec 16, 2018 at 21:56 | vote | accept | Seph Reed | ||
| Dec 16, 2018 at 21:56 | comment | added | Seph Reed |
Do you have any generalizations about the effects of materials on the decay rate b? Just curious, great answer btw.
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| Dec 16, 2018 at 21:25 | history | edited | Olli Niemitalo | CC BY-SA 4.0 |
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| Dec 16, 2018 at 21:05 | history | edited | Olli Niemitalo | CC BY-SA 4.0 |
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| Dec 16, 2018 at 20:52 | history | answered | Olli Niemitalo | CC BY-SA 4.0 |