Timeline for Resonance at frequencies different from natural frequency
Current License: CC BY-SA 3.0
11 events
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| Feb 8, 2015 at 17:18 | comment | added | Arsenal | @Sunny I've added a section where the RLC circuit is described in the frequency domain. Don't know if that helps. And you have written "this means that if i continue to add the red sine wave, the black sine wave will continually increase in amplitude, resulting in resonance" that's not true, you will end up with a wave with higher amplitude, but it will not increase any further by itself, it's not resonance. | |
| Feb 8, 2015 at 17:10 | history | edited | Arsenal | CC BY-SA 3.0 |
added a mathematical view on the problem
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| Feb 8, 2015 at 16:32 | comment | added | Sunny | All the explanations here are based on a black box basis, where the system is considered to be a black box, where the resonance is reached by adding an appropriate frequency. But I do not want a black box, I want to know what is inside. So for me, words like system, circuits and so on are not helping to understand the resonance. I need to know it mathematically and I am sure, there is mathematical explanation. It does not matter how complex the system vibration is, it can be for sure described as a sum of sine waves... | |
| Feb 8, 2015 at 11:58 | comment | added | Arsenal | @Sunny the thing about resonance is, that you don't add additional sine waves, but you only have one sine wave exciting your system. In case of resonance inside the system the amplitude will start to rise although you haven't added something on the input. Just looking at sine waves in a plot will not get you any closer to understanding what resonance is. | |
| Feb 8, 2015 at 11:37 | comment | added | Sunny | @Arsenal Thanks a lot for this extensive answer, I got some insight about resonance in circuits, but I still didn't get a mathematical explanation. In Your example of sine waves, you see that the resulting sine wave (black) increased in amplitude, this means that if i continue to add the red sine wave, the black sine wave will continually increase in amplitude, resulting in resonance. | |
| Feb 8, 2015 at 11:05 | comment | added | Arsenal | @Sunny I have reworked my answer, hopefully it is now better to understand that there is no resonance in a sine wave but that a system may exhibit one. | |
| Feb 8, 2015 at 11:04 | history | edited | Arsenal | CC BY-SA 3.0 |
complete rework of the answer
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| Feb 7, 2015 at 23:11 | comment | added | Roland Mieslinger | The waveform plays no important role, but the timing. If you push a pendulum at the right frequency, but in the wrong direction, you are slowing it down. | |
| Feb 7, 2015 at 23:07 | comment | added | Arsenal | Hmm no that's not what I meant, a sine wave is perfectly suited to create a resonance. I'll have to rework my answer to make it clearer what I mean. But that will have to wait after my sleep. | |
| Feb 7, 2015 at 22:53 | comment | added | Sunny | Are you saying that resonance is not possible with a sine wave? Is it possible to understand the resonance mathematically, because all the examples made in books are not intuitive. | |
| Feb 7, 2015 at 20:32 | history | answered | Arsenal | CC BY-SA 3.0 |