Circular membrane — natural frequencies
Modal analysisIn developmentVibration of a stretched circular membrane, Bessel modes
- Source:
- Blevins / Bessel functions
- Tolerance:
- 3%
Problem statement
- Geometry
- Circular membrane of radius a, clamped along the edge.
- Material
- Uniform surface tension T and areal density; wave speed c = √(T/(ρt)).
- Boundary conditions
- Zero transverse displacement on the boundary.
- Measured quantity
- Frequencies f = α_mn·c/(2πa), α_mn the zeros of J_m (fundamental 2.4048).
Script
Lands with the scripting engine (see Documentation) — this setup will be runnable from commands, no manual rebuild needed.
Results comparison
The solver core is still in development — there's no result yet. It'll appear here right after the first run, no retouching.
Updated: not yet run