FV32: Cantilevered tapered membrane | ||
| ||
ProductsAbaqus/Standard
Elements tested
CPS4
CPS4I
CPS8
CPS8R
CPS6
CPS6M
Problem description
Model:
Plate thickness = 0.05 m.
Material:
Young's modulus = 200 GPa, Poisson's ratio = 0.3, density = 8000 kg/m3.
Boundary conditions:
along the y-axis. at all nodes.
Reference solution
This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test FV32 from NAFEMS publication TNSB, Rev. 3, “The Standard NAFEMS Benchmarks,” October 1990.
Mode shapes predicted by Abaqus (for element type CPS4)
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 | 44.623 | 130.03 | 162.70 | 246.05 | 379.90 | 391.44 |
| CPS4 | 44.782 (0.36) | 130.63 (0.46) | 162.59 (−0.07) | 246.79 (0.30) | 379.14 (−0.20) | 389.83 (−0.41) |
| CPS4I | 44.524 (−0.23) | 129.55 (−0.09) | 162.55 (−0.09) | 244.13 (−0.78) | 374.46 (−1.43) | 389.60 (−0.47) |
| CPS8 | 44.636 (0.04) | 130.14 (0.08) | 162.72 (0.01) | 246.63 (0.24) | 382.02 (0.56) | 391.55 (0.03) |
| CPS8R | 44.629 (0.02) | 130.11 (0.06) | 162.70 (0.00) | 246.42 (0.15) | 381.32 (0.37) | 391.51 (0.02) |
| CPS6 | 44.624 (0.00) | 130.04 (0.00) | 162.70 (0.00) | 246.09 (0.02) | 379.99 (0.02) | 391.45 (0.02) |
| CPS6M | 44.637 (0.03) | 129.88 (−0.12) | 162.67 (−0.02) | 245.29 (−0.31) | 377.64 (−0.59) | 390.98 (−0.12) |
Input files
- nfv32f4f.inp
-
CPS4 elements.
- nfv32i4f.inp
-
CPS4I elements.
- nfv32f8c.inp
-
CPS8 elements.
- nfv32r8c.inp
-
CPS8R elements.
- nfv32f6c.inp
-
CPS6 elements.
- nfv32m6c.inp
-
CPS6M elements.