## 3 Result Analysis
### Energy Consumption  
The entire energy dissipation of the test beam could not be determined directly; however, it could be determined indirectly by calculating the work performed on the test beam by the impact and support reaction forces. The regions bounded by the medium\(-\)spansupport response force-displacement curve and the horizontal axis of the coordinates, as well as the regions bounded by the medium\(-\)span impact force-displacement curve, are where they were calculated. This is illustrated in Figure 13.  
The medium\(-\)span displacement curves for the A1\(-\)B3 test beams are shown in Figure 14. This study divided the curve process into three stages: primary wave peak segment, oscillation segment, and secondary wave peak segment. This division was based on the impact force\(-\)mid\(-\)span displacement curve shown in the image. (A) Main wave peak segment: the impact force value increases linearly from the initial value to the peak value; however, the displacement at the bottom of the beam remains at zero. The transmission of stress waves mainly causes this. At this time, the impact force exerted by the hammer is mainly used for the downward acceleration of the test beam and does not cause the deflection of the test beam. (B) Oscillation segment: after the main wave peak segment, the curve fluctuates and oscillates with a low amplitude and forms several wave crests with smaller peaks related to the oscillating segment of the impact force-time history curve. As the displacement rapidly increases and the impact force oscillates slightly over this time, it is clear that the test beam is repeatedly cracked and deformed due to the repeated propagation of the stress wave into the bottom of the beam. (C) Secondary wave peak segment: because the mid\(-\)span displacement peak and the impact force secondary peak arrive at a very close period, the curve reaches the secondary wave peak segment when the displacement significantly develops and is close to the peak value. The impact force enters the attenuation section when the impact reaches a conclusion, bounces back with the movement of the test beam, stabilizes, and eventually tends to zero. According to the figure's support reaction force\(-\)mid\(-\)span displacement curve, the curve process can be divided into four stages: platform, ascending, descending, and attenuation segments. (A) Platform segment: the test beam without reinforcement and the test beam with bonded steel differred significantly in the platform segment of the medium\(-\)span displacement curve of the support reaction force. The mid\(-\)span displacement had no effect on the test beam support response force values without strengthening the platform segment; however, the support response force responses of the strengthened test beam were significantly more advanced but still lagged in response time. This illustrates the phenomenon where the support response force responds first, and then the displacement response is caused by the transmission of the stress wave. Due to the faster transmission of the stress wave through the steel plate at the bottom of the beam, the reaction force response of the test beam with the bonded steel plate is also faster. (B) Ascending segment: the test beam was deflected and deformed by the impact load, and the response was followed by the support reaction force entering the ascending segment. The rising velocity is related to the peak section of the time history curve of the support reaction force; however, it is less extreme than the primary peak segment of the mid\(-\)span displacement curve of the impact force. Comparing the A1 beam without reinforcement and the B1\(-\)B3 beams strengthened with bonded steel plates, the A1 test beam rapidly reached the peak value, and the curve oscillated significantly, while the test beam with the  
Figure 13: Schematic diagram of overall energy consumption calculation. bonded steel plate reached the peak value after a long displacement response time, and the curve was relatively smooth.