5. Slightly Curved Cylindrical Panel

The test case consists of the calculation of the linear buckling load of a slightly curved cylindrical panel, using different element types. Only one quarter of the plate has been modelled. The panel is modelled with the shell elements available in B2000++.

Buckling of slightly curved cylindrical panel: Geometry

Figure 59. Buckling of slightly curved cylindrical panel: Geometry


The panel has a length L=92mm along the straight edges, a radius R=586mm with an angle α of 9 degrees along the curved edges and a thickness t=1mm. The mesh grid is 7 by 7 nodes in both directions.

The material is linear isotropic, with modulus of elasticity E=7*104N/mm2 and ν=0.3.

Line loads are applied on edge I in the positive z direction. Edge I has suppressed displacements in radial direction and edge IV is simply supported. Edges II and III have symmetry boundary conditions.

No analytical solutions are available for this problem. The results of the analysis, i.e the buckling load values, can be consulted in the test file __init__.py. The figure below display the convergence behaviour of this problem.

Buckling of slightly curved panel: Convergence behaviour (force controlled)

Figure 60. Buckling of slightly curved panel: Convergence behaviour (force controlled)