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NAFEMS FV22

Modal analysisPASS · 2.98%

Clamped thick rhombic (skew) plate — Mindlin-regime bending modes (t/a = 0.1) on a highly skewed planform; checks transverse-shear behavior on distorted elements.

Tolerance:
5%

Problem statement

Geometry
Rhombic plate, side 10 m, skew angle 45 degrees, thickness t = 1.0 m (thick plate, t/a = 0.1).
Material
Steel: E = 200 GPa, nu = 0.3, rho = 8000 kg/m^3.
Boundary conditions
All four edges fully clamped (w = 0 and both rotations fixed); in-plane motion constrained at all nodes (out-of-plane bending model).
Measured quantity
First five natural frequencies: 133.95, 201.41, 265.81, 282.74, 334.45 Hz (mode 6 is N.A. in TNSB).

Results comparison

Reference value133.95201.41265.81282.74334.45 Hz (моды 1-5, TNSB-1990мода 6 в TNSB отсутствует)
Our result134.81205.36272.56286.72344.40 Hz
Deviation2.98%
Tolerance5%
StatusPASS · 2.98%
Element familyShell element
Mesh detailsMITC4-оболочки 48×48 (параллелограммные элементы), ромб 10×10×1.0 м (толстая, t/a=0.1), скос 45°, заделка по контуру, (lumped масса); лестница 24→32→48: мода 1 135.04 → 134.90 → 134.81 Гц, мода 5 345.43 → 344.83 → 344.40 Гц (сходится к эталону сверху)

Updated: 2026-08-10 · WebCAE solver

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