Chladni's law explained

Chladni's law, named after Ernst Chladni, relates the frequency of modes of vibration for flat circular surfaces with fixed center as a function of the numbers m of diametric (linear) nodes and n of radial (circular) nodes. It is stated as the equation

f = C (m + 2 n) ^{p} where C and p are coefficients which depend on the properties of the plate.^[1]

For flat circular plates, p is roughly 2, but Chladni's law can also be used to describe the vibrations of cymbals, handbells, and church bells in which case p can vary from 1.4 to 2.4.^[2] In fact, p can even vary for a single object, depending on which family of modes is being examined.

External links

• A Study of Vibrating Plates by Derek Kverno and Jim Nolen (Archived 27 July 2011)

Notes and References

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