Products: ABAQUS/Standard ABAQUS/Explicit
Material and geometry specifications are as given in “Test 5: Deep simply supported beam: frequency extraction,” Section 4.5.1.
Mesh:
A coarse mesh and a fine mesh are tested in the ABAQUS/Explicit analyses.
Forcing function:
Suddenly applied step load, transverse to the beam.
1 MN/m over whole length of beam.
Damping:
2% [2% of critical damping in the dominant first mode with analytical frequency value 
42.650 (Hz) or 
267.98 (sec–1)].
The damping factors are chosen as 
5.36 (sec–1) and 
7.46 × 10–5 (sec) so that
Response:
and extreme fiber bending stress.
This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test 5T from NAFEMS “Selected Benchmarks for Forced Vibration,” R0016, March 1993.
The results are given in Table 4.5.3–1 through Table 4.5.3–5. The values enclosed in parentheses are percentage differences with respect to the reference solution. The static displacement was obtained by running the analysis for a second step with a time period of ten seconds.
Table 4.5.3–1 Element type: B21, ABAQUS/Explicit analysis.
| Peak displacement | Peak stress | Static disp. | ||
|---|---|---|---|---|
 (mm) |  (sec) |  (N/mm2) |  (mm) | |
| Reference solution | 1.043 | 0.0117 | 18.76 | 0.538 |
| Coarse mesh | 0.991 | 0.0120 | 17.35 | 0.510 |
| (–4.99%) | (2.56%) | (–7.52%) | (–5.20%) | |
| Fine mesh | 1.009 | 0.0120 | 18.04 | 0.520 |
| (–3.24%) | (2.56%) | (–3.84%) | (–3.35%) | |
Table 4.5.3–2 Element type: B22, ABAQUS/Explicit analysis.
| Peak displacement | Peak stress | Static disp. | ||
|---|---|---|---|---|
| (mm) | (sec) | (N/mm2) | (mm) | |
| Reference solution | 1.043 | 0.0117 | 18.76 | 0.538 |
| Coarse mesh | 1.042 | 0.0119 | 17.80 | 0.532 |
| (–0.09%) | (1.70%) | (–5.12%) | (–1.12%) | |
| Fine mesh | 1.043 | 0.0116 | 18.17 | 0.537 |
| (0.00%) | (–0.85%) | (–3.14%) | (–0.19%) | |
Table 4.5.3–3 Element type: B31, ABAQUS/Explicit analysis.
| Peak displacement | Peak stress | Static disp. | ||
|---|---|---|---|---|
| (mm) | (sec) | (N/mm2) | (mm) | |
| Reference solution | 1.043 | 0.0117 | 18.76 | 0.538 |
| Coarse mesh | 0.991 | 0.0120 | 17.37 | 0.510 |
| (–4.99%) | (2.56%) | (–7.41%) | (–5.20%) | |
| Fine mesh | 1.010 | 0.0120 | 18.06 | 0.518 |
| (–3.16%) | (2.56%) | (–3.73%) | (–3.72%) | |
B32 elements.
The modal solution in ABAQUS/Standard is obtained from Steps 3 and 4 in nfm5x32x.inp.
B21 elements, coarse mesh.
B21 elements, fine mesh.
B22 elements, coarse mesh.
B22 elements, fine mesh.
B31 elements, coarse mesh.
B31 elements, fine mesh.
B32 elements, coarse mesh.
B32 elements, fine mesh.
