NAFEMS FV52
Modal analysisPASS · 4.22%Simply-supported solid square plate — normal modes of a solid (brick) plate model, first three modes are rigid-body/near-zero.
- Tolerance:
- 5%
Problem statement
- Geometry
- Solid square plate, 10 m × 10 m × 1 m, modeled with solid (brick) elements.
- Material
- Steel: E = 2.1×10⁵ MPa (210 GPa), ν = 0.3, ρ = 8000 kg/m³.
- Boundary conditions
- Simply supported: z-translation constrained along all four edges; first three computed modes are rigid-body/near-zero and are excluded from the physical mode comparison.
- Measured quantity
- Accepted frequencies for modes 4-10: 45.9, 109.4, 109.4, 167.9, 193.6, 206.2, 206.2 Hz.
Results comparison
| Reference value | 45.9109.4109.4167.9193.6206.2206.2 Hz (modes 4-10) |
| Our result | 45.8111.2111.2167.8201.8210.5210.7 Hz |
| Deviation | 4.22% |
| Tolerance | 5% |
| Status | PASS · 4.22% |
| Element family | Solid element |
| Mesh details | hex8 32×32×6, 10×10×1 m plate, uz=0 along the mid-plane edges + isostatic pins (3 rigid in-plane modes excluded by mode shape), |
Updated: 2026-07-10 · WebCAE solver