## 3 Results and Discussion
### Shock Impact Testing
The parameter that denotes the ability to propagate a force, known as transmissibility (T), is calculated by dividing the maximum force (Fmax) by the input force (Finput). Under low levels of excited force, the FCC + CP lattice structure exhibited similarity to a solid material, but its performance was inferior to that of the solid structure, particularly when subjected to high input forces exceeding 300 N. At this magnitude of force, the transmissibility of the FCC + CP lattice structure was reduced by 60% compared to the solid material, but enhanced by 50% when compared to the BCC + CP lattice structure. Figure 12: The evolution of the shock response at the four levels of excited forces: (**a**) 186 \(\pm\) 19 N, (**b**) 245 \(\pm\) 11 N, (**c**) 289 \(\pm\) 24 N and (**d**) 308 \(\pm\) 11 N). All lattice structures demonstrated potential for use in compression isolation and their frequency responses were dependent on their respective structures. (see Figure 13 iv). Based on the collected experimental data, it was observed that there existed a correlation between the rate of deformation and the difference in momentum or impulse resulting from the applied force, which in turn generated potential energy and incurred losses due to the viscous-elastic effect. The magnitude of the input force was directly proportional to the kinetic energy imparted by the impactor. Following the impact with the central point (CP), a portion of the force was transferred to the underlying substrate and the lattice structure, causing an initial elongation of the curtain length, and subsequently leading to a relaxation mode of the viscous-elastic material. The lattice structure has the potential to reduce the shock force. The findings not only encompassed the outcome of the quasi-static examination but also contributed to the results  
Figure 13: The effect of maximum input force over (**i**) response force (**ii**) impulse (**iii**) response frequency and (**iv**) transmissibility at the different input forces with the different lattices. of an experiment stimulated by pneumatic shock, capable of generating high acceleration with minimal impulse force. The entirety of the experimental outcomes indicate that the lattice structure may have the potential to alleviate the impact of shock. Table 3 indicates that the homogenous characteristic of relative density was similar to the response forces. However, it is important to note that the main impulse time may depend on the architecture of the lattice structure, as indicated by the 10 per cent offset of the haft-sine plot from its baseline (see Figures 11 and 12). Although the convolution curve of all lattice structures demonstrated very similar responses in time, at roughly 5 ms, the main impulse time may vary depending on the architecture of the lattice structure. Figure 13 iii showed the separated effect between excited force and architecture and suggested that the impulse time (inversion of frequency) may be significantly reduced with an excited force above 290 N in solid, but it slightly decreased with excited force, particularly with high relative density, such as the FCC + CP structure. Using a lattice structure may benefit in reducing transmissibility, as demonstrated in Figure 13 iv. This effect was found to be particularly strong at high levels of excited force. The impulse shows in Table 3 with Figure 13 iii is a product of impulse time with the force that is independent of relative density but it depends on the architect of those lattice structures.