NAFEMS FV5
Modal analysisPASS · 3.49%Deep simply supported beam — repeated eigenvalues, shear and rotary inertia
- Tolerance:
- 5%
Problem statement
- Geometry
- Deep (stocky) beam, simply supported, per the FV5 setup.
- Material
- E = 200 GPa, ν = 0.3, ρ = 8000 kg/m³.
- Boundary conditions
- Simple support: one end restrained in the transverse and rotational DOF, the other allowing axial motion.
- Measured quantity
- Lowest natural frequencies (flexural, torsional, extensional modes, including repeated eigenvalues).
Results comparison
| Reference value | 42.64942.64977.542125148.31148.31233.1284.55 Hz |
| Our result | N=20: 42.6142.6177.54125.03147.94147.94233.10283.46 HzN=5: 42.6742.6777.84125.51150.43150.43241.24300.10 Hz |
| Deviation | 3.49% |
| Tolerance | 5% |
| Status | PASS · 3.49% |
| Element family | Beam element |
| Mesh details | (Timoshenko, ks=5/6, + rotary inertia, torsional ρJ); comparison: N=20 (converged mesh, all 8 modes) + N=5 (prescribed FV5, modes 1-7; mode 8 at N=5 = 300.1 Hz, +5.5% — discretization of the third bending pair, converges to the reference) |
Updated: 2026-07-10 · WebCAE solver