FV41: Free cylinder: axisymmetric vibration | ||
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ProductsAbaqus/Standard
Elements tested
CAX4
CAX4I
CAX6
CAX6M
CAX8
Problem description
Model:
Wall thickness = 0.4 m.
Material:
Young's modulus = 200 GPa, Poisson's ration = 0.3, density = 8000 kg/m3.
Boundary conditions:
Unsupported.
Reference solution
This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test FV41 from NAFEMS publication TNSB, Rev. 3, “The Standard NAFEMS Benchmarks,” October 1990.
Mode shapes predicted by Abaqus
Results and discussion
The results are shown in the following table. The values enclosed in parentheses are percentage differences with respect to the reference solution.
| Mode | ||||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | |
| NAFEMS | RBM | 243.53 | 377.41 | 394.11 | 397.72 | 405.28 |
| CAX4 | RBM | 243.05 (−0.20) | 368.41 (−2.38) | 378.05 (−4.08) | 384.00 (−3.45) | 389.02 (−4.01) |
| CAX4I | RBM | 243.17 (−0.15) | 370.80 (−1.75)) | 379.28 (−3.76) | 385.92 (−2.06) | 389.54 (−3.88) |
| CAX6 | RBM | 243.50 (−0.01) | 377.41 (0.00) | 394.26 (0.04) | 397.90 (0.05) | 406.42 (0.28) |
| CAX6M | RBM | 243.37 (−0.07) | 376.19 (−0.32) | 392.80 (−0.33) | 394.48 (−0.81) | 399.76 (−1.36) |
| CAX8 | RBM | 243.50 (−0.01) | 377.46 (0.01) | 394.30 (0.05) | 397.97 (0.06) | 406.44 (0.29) |
Remarks
In comparison to element types CAX6 and CAX8, element types CAX4, CAX4I, and CAX6M require a greater mesh refinement to capture the higher modes accurately.
Input files
- nfv41f4f.inp
-
CAX4 elements.
- nfv41i4f.inp
-
CAX4I elements.
- nfv41f6f.inp
-
CAX6 elements.
- nfv41m6f.inp
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CAX6M elements.
- nfv41f8c.inp
-
CAX8 elements.