Efficient data driven optimization framework for designing B-spline honeycombs with excellent energy absorption

Abstract

• Novel B-spline honeycombs to unify various polyline/curve honeycombs. • Efficient data driven optimization design framework for structural design. • The upper design boundary of B-spline honeycombs for energy absorption. • The empirical equations for calculating the upper design boundary. • Comparisons of configurations and mechanisms for optimal B-spline honeycombs. Designing honeycomb structures with exceptional energy absorption capabilities and a broad design space is crucial for meeting the increasing demands in the field of impact protection. In this study, innovative B-spline honeycombs (BSHs) were developed to represent a variety of polyline/curve hexagonal honeycombs. The energy absorption performance of the BSHs was assessed using the finite element method, validated by quasi-static compression experiments. The developed data-driven optimization design framework integrates deep neural network models and genetic algorithms, enabling the generation of novel BSHs that fulfill specific design criteria. Using this framework, the upper specific energy absorption boundary of BSHs was determined to identify configurations with the highest specific energy absorption across varying relative densities. Additionally, empirical equations to compute the maximum initial peaking compression force, mean compression force, and specific energy absorption of BSHs at specific relative densities were summarized. These optimized BSHs were categorized into bowl-shaped BSHs, 30-sided BSHs, 5-shaped BSHs, 2-shaped BSHs, M-shaped BSHs, and r -shaped BSHs based on their topological structures. The BSH with the highest specific energy absorption, 13.4 J/g, belonged to the 5-shaped BSHs category, with a corresponding relative density of 9.15 %. The predominant deformation mode for these optimized BSHs, ensuring maximal material utilization, was identified as perfect folding mode. Compared to traditional hexagonal honeycomb and other polyline/curve hexagonal configurations at equivalent relative densities, the BSHs exhibited superior energy absorption capabilities. This study offers a systematic design approach for future endeavors aimed at developing high energy absorbing honeycombs with more intricate cross-sectional shapes.

Topics & Concepts