OS-V: 0020 Cylinder Shell Patch

Test No. LE2 OptiStruct examines the outer surface tangential stress θ ​ − ​ θ at point E for linear static analysis.



Figure 1.

Benchmark Model

Quad8 elements are used to create a mesh on the cylindrical patch with 4 elements for the load case 1 and Quad4 elements are used to create a mesh with 16 elements for the load case 2. All the translations and rotations are constrained at edge AB, z-translation and normal rotations are constrained at the edges AD and BC. For Load case 1 a uniform normal edge moment of 1.0 kNm/m is applied on the edge DC and for the Load case 2, uniform outward normal pressure of 0.6 MPa is applied on the mid surface ABCD and a tangential outward normal pressure of 60.0 MPa is applied on edge DC.

The material properties are:
Young's Modulus
210 x 103 MPa
Poisson's Ratio
0.3

Linear Static Analysis Results

All results are normalized with the target value (60.0 MPa).
  Surface Tangential Stress θ ​ − ​ θ at Point E (MPa) Normalized with the Target Value
Load Case 1: Quad8 58.03 1.033947958
Load Case 2: Quad4 58.92 1.018329939

Model Files

The model files used in this problem include:

<install_directory>/hwsolvers/demos/optistruct/verification
  • le2quad8lc1.fem
  • le2quad4lc2.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.