Non-Linear Cantilever beam

Author: Klaus B. Sautter

Kratos version: 9.0

Source files: Beam Non-Linear Cantilever

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 = 0.00001.

Results

By discretizing the total cantilever with 20 elements the following results, with respect to the three degrees of freedom, are obtained:

Non-linear cantilever: Vertical displacement (20 elements)

Non-linear cantilever: Horizontal displacement (20 elements)

Non-linear cantilever: z-rotation (20 elements)

A convergence study is done with respect to the horizontal dispalcement:

Non-linear cantilever: Convergence study - horizontal displacement

References

1. Steen Krenk. Non-linear modeling and analysis of solids and structures. Cambridge Univ. Press, 2009., pp. 115-116.