2D Drum Resonance Modes
ψ_mn(x,y,t) = sin(mπx)sin(nπy)·cos(ω_mn·t)
m:
1
2
3
4
5
6
n:
1
2
3
4
5
6
Superpose mode
Amplitude:
1.0
Speed:
1.0
Rectangular membrane (Dirichlet BC: zero at edges). Mode (m,n) has frequency ω_mn = π√(m²+n²). Color: red = +displacement, blue = −, black = nodal lines (zero). Degenerate modes: ω_mn = ω_nm.