NAFEMS FV16
Modal analysisPASS · 0.66%Cantilevered thin square plate — shell modal and mass formulation test with a single fixed edge.
- Tolerance:
- 5%
Problem statement
- Geometry
- Thin square plate, 10 m × 10 m, thickness 0.05 m, modeled with shell elements.
- Material
- Steel: E = 2×10⁵ MPa (200 GPa), ν = 0.3, ρ = 8000 kg/m³.
- Boundary conditions
- Cantilevered: fully fixed along one edge (support along the y-axis, as specified in the NAFEMS report); all other edges free.
- Measured quantity
- First six natural frequencies (modes 1-6): 0.421, 1.029, 2.582, 3.306, 3.753, 6.555 Hz.
Results comparison
| Reference value | 0.4211.0292.5823.3063.7536.555 Hz |
| Our result | 0.4181.0262.5863.2953.7576.586 Hz |
| Deviation | 0.66% |
| Tolerance | 5% |
| Status | PASS · 0.66% |
| Element family | Shell element |
| Mesh details | MITC4 shells 16×16, 10×10×0.05 m plate, clamped along one edge, |
Updated: 2026-07-10 · WebCAE solver