OS-V: 0510 Wrapped Thick Cylinder
Test No: R0031/2 OptiStruct examines the hoop stress in the inner and outer cylinder at different radius for linear static analysis.
Figure 1. FE Model with Boundary Conditions and Loadcases
Benchmark Model
Ply laminates are created using Quad4 elements for one quarter model of the cylinder. For Case 1 an internal pressure of 200MPa is applied and for the Case 2 together with the internal pressure, a temperature rise of 130°C is applied.
The material properties are:
- Inner Cylinder (Isotropic)
- E
- 2.1 × 105 MPa
- 0.3
- α
- 2.0 × 10-5°C-1
- Outer Cylinder (Circumferentially wound)
- E1
- 1.3 × 105 MPa
- 12
- 0.25
- E2
- 5.0 × 103 MPa
- α1
-
3.0 × 10-6°C-1
- α2
- 2.0 × 10-5°C-1
- G12
- 1.0 × 104 MPa
- G33
- 5.0 × 103 MPa
Linear Static Analysis Results
| Target (MPa) | OptiStruct Results (MPa) | Normalized with the Target Value | |
|---|---|---|---|
| Case 1: | |||
| Hoop stress in inner cylinder at r = 23 | 1565.3 | 1659.4 | 0.94329276 |
| Hoop stress in inner cylinder at r = 25 | 1429.7 | 1659.4 | 0.86157647 |
| Hoop stress in outer cylinder at r = 25 | 874.7 | 792.6 | 1.10358314 |
| Hoop stress in outer cylinder at r = 27 | 759.1 | 792.6 | 0.95773404 |
| Case 2: | |||
| Hoop stress in inner cylinder at r = 23 | 1381.0 | 1392.05 | 0.99206207 |
| Hoop stress in inner cylinder at r = 25 | 1259.6 | 1392.05 | 0.90485256 |
| Hoop stress in outer cylinder at r = 25 | 1056.0 | 1059.92 | 0.99630161 |
| Hoop stress in outer cylinder at r = 27 | 936.1 | 1059.92 | 0.88317986 |
Model Files
The model files used in this problem include:
<install_directory>/hwsolvers/demos/optistruct/verification
- /compwtcq4c1.fem
- /compwtcq4c2.fem
Reference
NAFEMS Ltd, The Standard NAFEMS BENCHMARKS TNSB Rev. 3, NAFEMS Ltd, Scottish Enterprise Technology Park, Whitworth Building, East Kilbride, Glasgow, United Kingdom, 1990.