WebCAE
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NAFEMS FV2

Modal analysisPASS · 1.2%

Natural frequencies of a flat plate

Tolerance:
5%

Problem statement

Geometry
Square flat plate, simply supported on all four edges.
Material
Linear-elastic isotropic material.
Boundary conditions
Simple support around the perimeter (deflection fixed, rotation free).
Measured quantity
First natural frequency of the plate's bending modes.

Results comparison

Reference value11.33617.709 (моды 2-8, ×7)45.34557.390 (моды 10-16, ×7) Hz (TNSB-1990)
Our result11.32417.637…17.66545.16056.700…57.010 Hz
Deviation1.2%
Tolerance5%
StatusPASS · 1.2%
Element familyBeam element
Mesh details(Тимошенко), 8 лучей × 12 элементов, плоская постановка (uz,rx,ry зажаты везде), концы шарнирно; предписанная грубая сетка 4 эл/луч даёт 11.328 / 17.649…17.678 / 45.36 Гц

Updated: 2026-08-10 · WebCAE solver

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