RD-E: 0500 Beam Frame
A beam frame receives an impact from a mass having initial velocity.
![rad_ex_5_beam](../../../images/solvers/rad_ex_5_beam.png)
Figure 1.
The explicit approach leads to finding a quasi-static equilibrium of the structure after impact.
Options and Keywords Used
- Beam
- Plasticity and Johnson-Cook material (/MAT/LAW2 (PLAS_JOHNS))
- Boundary conditions (/BCS)
- Initial velocities (/INIVEL)
- Beam element (/PROP/TYPE3 (BEAM))
- Rigid wall (/RWALL)
The impacting mass is simulated using a sliding rigid plane wall (/RWALL) having an initial velocity of 10 ms-1and a mass of 3000 g. Only one secondary node exists: the node O to simulate a point impact.
![rad_ex_fig_5-3](../../../images/solvers/rad_ex_fig_5-3.png)
Figure 2. Boundary Conditions
![rad_ex_fig_5-4](../../../images/solvers/rad_ex_fig_5-4.png)
Figure 3. Rigid Wall Type Infinite Plane
Input Files
Model Description
The purpose of this example is to perform a static analysis using beam elements.
![rad_ex_fig_5-1](../../../images/solvers/rad_ex_fig_5-1_zoom91.png)
Figure 4. Geometry of the Frame
Dimensions are: AB = BC = CD = BE = BF = E'C = CF' = 90 mm.
- Beam Properties
- Cross section
- 36 mm2
- Moments of inertia in Y and Z
- 108 mm4
- Moments of inertia in X
- 216 mm4
- Material Properties
- Density
- 0.0078
- Young's modulus
- 200 000
- Poisson's ratio
- 0.3
- Yield stress
- 320
- Hardening parameter
- 134.65
- Hardening exponent
- 1.0
All other coefficients are set to default values. Plasticity is taken into account using LAW2 without failure.
Model Method
![rad_ex_fig_5-2](../../../images/solvers/rad_ex_fig_5-2.png)
Figure 5. Mesh of the Frame Showing the Position of the Nodes
Results
Curves and Animations
![rad_ex_fig_5-5](../../../images/solvers/rad_ex_fig_5-5.png)
Figure 6. Displacements of Points B and O
![rad_ex_fig_5-6](../../../images/solvers/rad_ex_fig_5-6.png)
Figure 7. Velocity of Points B and O (stabilization)
![rad_ex_fig_5-7](../../../images/solvers/rad_ex_fig_5-7.png)
Figure 8. Normal and Shear Force on Beam Element 15 (near to point O)
![rad_ex_fig_5-8](../../../images/solvers/rad_ex_fig_5-8.png)
Figure 9. Energy Assessment (stability reached at in 6 ms)
![rad_ex_fig_5-9](../../../images/solvers/rad_ex_fig_5-9.png)
Figure 10. Node Displacement (max. = 30.96 mm)
![rad_ex_fig_5-10](../../../images/solvers/rad_ex_fig_5-10.png)
Figure 11. Plastic Strain (max. = 20.1%)