# Analysis of Strength Effects on the Dynamic Response of a Shaped-Charge Under Lateral Disturbances
## 3 Dynamic Impact Process of the Jet Under the Influence of Target Strength
### Analysis of Disturbed Impact Process  
In order to analyze the influence of target strength on the dynamic impact process of the jet, the jet offset angle \(\alpha\) under different target strengths and different lateral disturbance velocities was extracted.  
It can be seen from Figure 4a that in the process of dynamic impact, due to the lateral disturbance of the target plate, the jet inevitably collides with the wall of the channel and then flows to the bottom of the pit at a certain angle along the wall of the channel. In the process of flow, due to the existence of offset angle, if the offset angle is large enough, the jet will collide with the wall of the channel twice, which will greatly weaken the velocity of the jet element and affect its ability to impact the bottom of the jet channel.  
Figure 3: Typical jet dynamic impact process.  
From Figure 4b, it can be seen that when the lateral disturbance velocity increases, the offset angle of the jet during dynamic impact with the target plates with different yield strengths increases continuously. Moreover, for target plates with larger yield strengths, the offset angle of the jet is also larger. When the lateral disturbance velocity is low, the differences in the jet offset angle under different target strengths are small. This is because when the lateral disturbance is low, the impact of the target plate on the jet is weak, and the energy loss experienced by the jet after the collision is small. It can continue to flow and complete the impact at the bottom of the channel. As the lateral disturbance velocity increases gradually, the differences among the jet offset angles under different target strengths begin to appear. When the jet penetrates a target plate with a smaller yield strength, its resistance is also stronger, so the offset angle is also smaller.  
The depth of the jet's dynamic impact under different target strengths is calculated, as shown in Figure 5.  
It can be seen from Figure 5 that the impact depth of the jet decreases with increasing lateral disturbance velocity. With the increase in the lateral disturbance velocity, the difference between target plates with different yield strengths gradually decreases. This is mainly because the existence of the transverse disturbance makes it possible to smoothly enter the bottom of the target plate channel, and the result is progressively reduced jet penetration into the crater. Only the jet element at the head can effectively play a role, as this part of the jet element has higher speed and carries more energy. Its interaction with the target plate is the initial stage of jet impact. At this time, the influence of the target  
Figure 4: Offset angle \(\alpha\) and its variation curve. (**a**) Schematic diagram of offset angle \(\alpha\); (**b**) the change curve of offset angle \(\alpha\) under different target strengths.  
Figure 5: Typical jet dynamic impact depth curve.  
plate strength can almost be ignored during penetration, while subsequent jet elements are affected by the transverse disturbance and cannot make an effective contribution to the jet impact depth.