Experimental study reveals topology-dependent energy absorption and stability in brachistochrone lattices, highlighting Equivalent Energy Spring Model accuracy for dynamic impact prediction.
This study investigates the compression and impact responses of three brachistochrone-inspired lattice topologies, namely, Gyroid, Body-Centered Cubic (BCC), and Interconnected Wavelet Packet (IWP), fabricated by additive manufacturing using Elastic 50A Resin V2. Quasi-static compression tests were performed to characterize the force–displacement response of each topology, and drop-weight tests were conducted to measure the corresponding acceleration histories under impact loading. Based on the compression data, two restoring-force descriptions were evaluated for dynamic prediction: a fractal dynamic model with polynomial restoring force and the Equivalent Energy Spring Model (EESM). The results show that lattice topology strongly affects deformation mode, compressive stability, and energy absorption. The B-IWP lattice exhibited the highest energy-absorption capacity but also showed greater susceptibility to buckling, whereas the B-BCC topology provided a more balanced combination of structural stability and impact-mitigation capability. Comparison with the experimental impact responses showed that both modeling approaches reproduced the main features of the measured acceleration histories, while the EESM generally provided better agreement with the experimental data. These findings demonstrate that compression-derived restoring-force models provide an effective framework for predicting the impact behavior of brachistochrone-inspired lattices and support their design for protective packaging and other impact-critical applications.
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Majari et al. (2026) studied this question.
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