Product: ABAQUS/Standard
Wall thickness = 0.4 m.
Material:Young's modulus = 200 GPa, Poisson's ration = 0.3, density = 8000 kg/m3.
Boundary conditions:
Unsupported.
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.
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) |
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.
CAX4 elements.
CAX4I elements.
CAX6 elements.
CAX6M elements.
CAX8 elements.