The objective of this study is to understand the energy absorption phenomenon and compare behavior of steel material and

 paper under impact loading. This study also demonstrates the Physics modeling X-Y plot capabilities in 3DEXPERIENCE

R2014x tested for different parts in assembly.

A steel ball of 19mm radius is dropped over the inverted Steel cup and Paper cup from a height of 760mm. Steel ball is

mm offset from center of Cup. Steel ball is assumed to be rigid body and paper cup is modeled with piece wise linear

plasticity material. Paper material has density of 844 kg/m^3 and poison’s ratio of 0.182.

Dimensions of the cup geometry used shown below:

 Fig. 1. Cup used in the Experiment

Calculations:

Velocity of ball just before touching to Cup is 2.77m/s

Mass of ball = 0.225Kg

Kinetic energy KE = 0.863 J

Paper cup energy balance using X-Y plots:

From Fig.2 we can see that energy starts dropping from 0.863 J and almost complete energy gets absorbed by paper cup at

 25milisecond. Ball kinetic energy remains near to zero during rest of the time indicating that approximately all kinetic

energy is absorbed by the Paper Cup. From below graph we can see that almost equal amount of energy is absorbed in

Paper Cup component.

Fig. 2. Graphs for various energies for Paper cup and Steel Ball

Fig. 3. Final Deformation of Paper Cup

Steel Cup energy balance using X-Y plots:

It is found that steel cup absorbs very less energy and steel ball bounces back with retained energy.   

Fig. 4. Graphs for various energies for Steel cup and Steel Ball