Understanding Resonant Frequencies: Investigating Modes in a Resonance Chamber

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SUMMARY

This discussion focuses on understanding resonant frequencies within a resonance chamber, specifically through the formula f=(c/2)[(Nx/Lx)^2(Ny/Ly)^2(Nz/Lz)^2]^1/2. The modal numbers, represented as (Nx, Ny, Nz), indicate the number of half-wavelengths or antinodes that fit within the respective dimensions (Lx, Ly, Lz) of the chamber. Clarification was sought on the significance of these modal numbers, which was addressed by explaining their direct relationship to the physical dimensions of the resonance chamber.

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  • Understanding of wave mechanics and resonance principles
  • Familiarity with the formula for calculating resonant frequencies
  • Knowledge of modal analysis in acoustics
  • Basic concepts of antinodes and half-wavelengths
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  • Explore the implications of varying Lx, Ly, and Lz on resonant frequencies
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Myrddin
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Am doing a project about a resonance chamber, investigating resonances frequenies and hows different variables can affect them but need some clarification on the modal numbers

so resonant frequencies are found from f=(c/2)[(Nx/Lx)^2(Ny/Ly)^2(Nz/Lz)^2]^1/2

find values using n = 1,0,0..,1,1,0 etc but what's do they actually mean? thanks
 
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1,0,0 would refer to the values of Nx, Ny, and Nz.
 
Yes i know that, but what's their actual meaning?
 
Okay, now I understand what you're asking.

Each number refers to the number of half-wavelengths, or antinodes, that fit within the length (Lx, Ly, or Lz). Something like this:

string.gif

Hope that helps.
 

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