Numerical solutions to the 2D Chladni plate vibration equation.
The Chladni plate dataset models the steady-state response of a 2D vibrating plate to various forcing patterns. The mathematical formulation involves modal decomposition using cosine basis functions:
Forcing function:
S(x,y) = Σₙ Σₘ α(n,m) cos(μₙx) cos(λₘy)
Mode factor:
Φ(n,m) = (v²/β(n,m)) × I(n,m) ×… See the full description on the dataset page:
https://huggingface.co/datasets/ajthor/chladni.
