Cantilever beam — natural frequencies
Modal analysisIn developmentBending natural frequencies of a cantilever
- Source:
- Blevins, Formulas for Natural Frequency
- Tolerance:
- 3%
Problem statement
- Geometry
- Slender prismatic cantilever beam of length L, uniform cross-section.
- Material
- Linear-elastic isotropic material, E and density ρ.
- Boundary conditions
- Fully fixed at one end, free at the other.
- Measured quantity
- Bending frequencies f_n = (βₙL)²/(2π)·√(EI/ρAL⁴); βL = 1.875, 4.694, 7.855, …
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