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The effects of Resonant frequency?
The process of breaking a glass works by resonance. The frequency of sound must match the resonant frequency of the glass. If i was to Crete a device that could do this it would need to be able to measure this frequency and then output the same signal at higher power.
I was wondering what would happen if the frequency of sound matched the resonant frequency of metal, wood or water etc
What would happen?
The formulas which govern this for structures are differential equations, with solutions involving trig functions and the exponential function. When you vibrate something it displaces in a way which can be modeled by the trig functions (this is called a sinusoidal movement). When the frequency approaches certain values (the resonant, or "fundamental" frequencies of a structure), these displacements grow exponentially because of the terms involving the exponential function.
For glass, a large displacement causes cracking and fracture. Wood is fairly brittle compared to other materials, so large displacements would cause it to bend until failure. Wood structures tend to have small fundamental frequencies, so short period earthquakes are especially dangerous. Metal is more ductile, and can withstand plastic deformation. When it is subjected to the extreme displacements resulting from matching its fundamental frequency, it will incur permanent deformation, but is unlikely to rupture. Water is liquid, so it really has no fundamental frequency. The molecules are free to move around when a vibration is applied.
breaking a wine glass using resonance