Specific Frequencies - Round Plate

1 Nodal Ring at 126 Hz At 126 Hz there is one nodal ring on a round Chladni plate.
2 Nodal Rings at 380 Hz At 380 Hz there are two nodal rings on a round Chladni plate.
3 Nodal Rings at 910 Hz At 910 Hz there are three nodal rings on a round Chladni plate.
4 Nodal Rings at 1701 Hz At 1701 Hz there are four nodal rings on a round Chladni plate.
5 Nodal Rings at 2798 Hz At 2798 Hz there are five nodal rings on a round Chladni plate. The fifth ring at the center is quite small and not well formed.
6 Nodal Rings at 4149 Hz At 4149 Hz there are six nodal rings on a round Chladni plate. The sixth ring is at the center of the plate and is indistinct.
7 Nodal Rings at 5926 Hz At 5926 Hz there are seven nodal rings on a round Chladni plate. The seventh ring is at the center of the plate and is off center.

Unique nodal patterns at several resonant frequencies for a round plate are shown.

Unique circular nodal patterns at several resonant frequencies for a round plate are shown. The table below summarizes the results. It is clear that there is no simple relationship between frequency and the number of nodal rings; as with a square plate, this is a consequence of the non-uniform properties of a plate as one moves from the center to the edge.

Successive Resonances on a Circular Chladni Plate
ƒ (Hz) N Δƒ Δ(Δƒ)
126 1    
380 2 254  
910 3 530 276
1701 4 791 261
2798 5 1097 306
4149 6 1351 254
5926 7 1777 426
N = number of circular antinodes, including central antinode.
At a resonance point, the sound intensity rises and sand particles begin jumping about, moving from antinodal areas to nodal areas. At certain resonance frequencies, in addition to simple circular nodal patterns, complex edge patterns form.

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