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<p>In this study, we designed gradient lattice structures to enhance their mechanical strength, impact resistance, and energy absorption capabilities. The Voronoi method was employed to generate random points within a Euclidean geometric space, forming basic unit structures. By assigning varying gradient distributions, we constructed lattice structures with distinct gradient profiles. We designed two gradient configurations, namely “inward” and “outward,” each comprising five gradient levels: 0.5, 0.6, 0.7, 0.8, and 0.9. A gradient level of 1 corresponds to a uniform lattice structure, where the gradient distribution becomes increasingly homogeneous with higher levels. We utilized the ABAQUS finite element analysis software to simulate the compressive mechanical behavior of gradient lattice structures. The lattice structures were fabricated via 3D printing, and mechanical compression tests were performed to validate the finite element analysis results. The finite element and compression test results revealed that gradient lattice structures exhibit superior mechanical properties compared to their uniform counterparts. Specifically, the 0.6 gradient level in “inward” gradient structures demonstrated optimal mechanical performance, characterized by exceptional impact resistance and vibration damping. In contrast, the 0.8 gradient level in “outward” gradient structures showed enhanced energy absorption and impact resistance. Overall, “outward” gradient structures exhibited superior performance relative to “inward” gradient structures. The gradient lattice structures designed using the Voronoi method demonstrated high strength, excellent impact resistance, and superior energy absorption capabilities, with their mechanical properties strongly correlated to the gradient level.</p>

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Study of the Mechanical Properties of Voronoi Gradient-Based Point Structures

  • 期刊论文

  • 发表日期：

    2025年10月27日

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  • Fengshuang Yang,
  • Yingyu Shi,
  • Chen Ma,
  • Hang Li

摘要

In this study, we designed gradient lattice structures to enhance their mechanical strength, impact resistance, and energy absorption capabilities. The Voronoi method was employed to generate random points within a Euclidean geometric space, forming basic unit structures. By assigning varying gradient distributions, we constructed lattice structures with distinct gradient profiles. We designed two gradient configurations, namely “inward” and “outward,” each comprising five gradient levels: 0.5, 0.6, 0.7, 0.8, and 0.9. A gradient level of 1 corresponds to a uniform lattice structure, where the gradient distribution becomes increasingly homogeneous with higher levels. We utilized the ABAQUS finite element analysis software to simulate the compressive mechanical behavior of gradient lattice structures. The lattice structures were fabricated via 3D printing, and mechanical compression tests were performed to validate the finite element analysis results. The finite element and compression test results revealed that gradient lattice structures exhibit superior mechanical properties compared to their uniform counterparts. Specifically, the 0.6 gradient level in “inward” gradient structures demonstrated optimal mechanical performance, characterized by exceptional impact resistance and vibration damping. In contrast, the 0.8 gradient level in “outward” gradient structures showed enhanced energy absorption and impact resistance. Overall, “outward” gradient structures exhibited superior performance relative to “inward” gradient structures. The gradient lattice structures designed using the Voronoi method demonstrated high strength, excellent impact resistance, and superior energy absorption capabilities, with their mechanical properties strongly correlated to the gradient level.