# Chladni's Law

## Description

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 shown here.

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. In fact, p can even vary for a single object, depending on which family of modes is being examined.

Related formulas## Variables

f | frequency of modes of vibration for flat circular surfaces with fixed center (dimensionless) |

C | coefficient which depends on the properties of the plate (dimensionless) |

m | number of diametric (linear) nodes (dimensionless) |

n | numbers of radial (circular) nodes (dimensionless) |

p | coefficient which depends on the properties of the plate (dimensionless) |