Non linear cantilever beam

Problem definition

To demonstrate the ability of the co-rotational beam element to handle very large deformation a cantilever with L = 2.00 and a linearly increased transverse load is investigated:

Statical System [1]

With E = 210E09, ν = 0.30, A = 0.01 and Iz=Iy=IT = 3.34E-05. Whereas the load F is linearly increased.

Results

The following deformation (exaggerated) animation of the Kratos is provided for context:

The results of the simulation are given in the following graph, where both the axes are scaled:

Roll-up beam struture: Z-Moment

References

1. Steen Krenk. Non-linear modeling and analysis of solids and structures. Cambridge Univ. Press, 2009., pp. 116-117.