| NAFEMS | DEEP SIMPLY-SUPPORTED BEAM | Test No FV5 | Date/issue 1989-01-09/1 |
| GEOMETRY & MESH |
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| ATTRIBUTES | (a) Repeated eigenvalues (b) Shear deformation and rotary inertia (Timoshenko Beam) (c) Possibility of missing extensional modes when using iteration solution methods |
| BOUNDARY CONDITIONS | x=y=z=0 at A, y=z=0 at B |
| MATERIAL PROPERTIES | E=210 x 103 N m-2, n=0.3, r=8000 Kg m-3 |
| ELEMENT TYPES | Exact: Exact 3-D beam element. Iso: 3-noded iso-parametric 3-D beam element |
| FREQUENCIES AND MODE SHAPES (*=closed form
solution)
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| fr*=42.650 Hz ft =42.710 Hz [Exact] ft =42.657 Hz [Iso] |
fr*=71.20 Hz ft =71.495 Hz [Exact] ft =71.202 Hz [Iso] |
fr*=125.00 Hz ft =125.51 Hz [Exact] ft =125.00 Hz [Iso] |
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| Flexural | Torsional | Extensional |
| Modes 1 & 2 | Mode 3 | Mode 4 |
| fr*=148.15 Hz ft =150.76 Hz [Exact] ft =148.71 Hz[Iso] |
fr*=213.61 Hz ft =221.57 Hz [Exact] ft =213.72 Hz [Iso] |
fr*=283.47 Hz ft =301.08 Hz [Excact] ft =286.81 Hz [Iso] |
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| Flexural | Torsional | Flexural |
| Modes 5 & 6 | Mode 7 | Mode 8 & 9 |
Download the files corresponding to the benchmark:
| Data category | File Description | Provided by |
|---|---|---|
| cross section geometry and FE specification | ISO 10303-209 class 9 - FE model; boundary
conditions 2001-05-25 |
NAFEMS |
| posted results | ISO 10303-209 class 10 - cross section
geometry; FE model; boundary conditions; natural frequencies and mode
shapes 2001-05-25 |
Steve Gordon, Electric Boat Corp. |