Examples:
- mechanical resonance, notably:
- pipe instruments
- electronic oscillators, notably:
- LC oscillator, and notably the lossy version RLC circuit
Perhaps a key insight of resonance is that the reonant any lossy system tends to look like the resonance frequency quite quickly even if the initial condition is not the resonant condition itself, because everything that is not the resonant frequency interferes destructively and becomes noise. Some examples of that:
- striking a bell or drum can be modelled by applying an impuse to the system
- playing a pipe instrument comes down to blowing a piece that vibrates randomly, and then leads the pipe to vibrate mostly in the resonant frequency. Likely the same applies to bowed string instruments, the bow must be creating a random vibration.
- playing a plucked string instrument comes down to initializing the system to an triangular wave form and then letting it evolve. TODO find a simulation of that!
Another cool aspect of resonance is that it was kind of the motivation for de Broglie hypothesis, as de Broglie was kind of thinking that electroncs might show discrete jumps on atomic spectra because of constructive interference.
Articles by others on the same topic
Resonance is enhanced response when a periodic drive couples efficiently to a system's natural oscillatory motion. The drive must have a nonzero projection onto the relevant mode; matching a natural frequency alone is insufficient if the forcing pattern cannot excite that mode.
For with , the steady displacement amplitude isWeak damping gives a large response near , while damping limits the amplitude and permits a repeatable steady response after transients decay. A frequency sweep of the drive tests both response magnitude and phase lag. The exact peak depends on which observable is measured: displacement amplitude and absorbed power need not peak at precisely the same frequency. In the undamped resonant idealization with effective forcing, the amplitude grows instead of approaching a bounded steady oscillation.
Resonance is a phenomenon that occurs when a system is able to oscillate with greater amplitude at specific frequencies, known as its natural frequencies or resonant frequencies. At these frequencies, even small periodic driving forces can produce large oscillations, because the energy input from the driving force is in sync with the natural frequency of the system.