# OS-E: 0105 Nonlinear Analysis of Cantilever Beams with Follower Forces

Three cantilever beams are analyzed.

## Model Files

## Model Description

Beam | Analysis Type | Load Type |
---|---|---|

Beam 1 | Static analysis is performed | Applied Regular Force load |

Beam 2 | Nonlinear Static Analysis | Applied Regular Force load |

Beam 3 | Nonlinear Static Analysis | Applied Follower Force load |

Follower forces imply that the direction of the load is assumed to rotate with the rotation at the node (where the load is applied). The purpose of this example is to compare the deformation characteristics of several cantilever beams – with and without the application of follower forces in a geometrically nonlinear analysis (NLSTAT) and that in a geometrically linear static analysis.

- Young's Modulus
- 2.1E5 MPa
- Poisson's Ratio
- 0.3
- Initial Density
- 7.9E
^{-9}Mg/mm^{3}

## Results

Figure 2 also shows the differences in deformation characteristics with and without the application of follower forces for geometrically linear and geometrically nonlinear analyses.

Whether follower force should be applied or not depends on the application. For situations where the applied force rotates with the rotation of the load application point, follower forces should be defined for correct representation of the physical situation. In all other situations where the direction of the force remains constant, follower forces do not need to be considered.