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<p>To address the design challenges of braiding paths for complex cross-sectional preforms, this study develops a carrier path generation algorithm for a stepwise rotary braid 3D braiding machine incorporating graph theory. By applying graph theory, by converting the perform cross-sectional shape and the braiding chassis into graphs, a graph model transformation algorithm is established to optimize carrier paths and improve braiding efficiency. This algorithm considers the motion states of the driving components and the relative positions between carriers, converting complex braiding structures into optimal carrier paths. The effectiveness of the proposed algorithm was verified through three different carrier path planning case studies including square, rotational and equal-length multi-arm configurations, confirmed the methodology’s capability to maintain structural accuracy while minimizing deviations from design specifications. The results demonstrate that this method has significant potential in the automated arrangement of braiding trajectories for 3D braided complex cross-section components, laying the foundation for the further development of 3D braiding technology automation.</p>

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Application of graph theory in carrier path research for stepwise 3D rotary braiding machines

  • 期刊论文

  • 发表日期：

    2025年6月11日

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  • Jiale Liu,
  • Yicen Gao,
  • Zhongde Shan,
  • Zheng Sun,
  • Zitong Guo,
  • Xiangyu Zhu

摘要

To address the design challenges of braiding paths for complex cross-sectional preforms, this study develops a carrier path generation algorithm for a stepwise rotary braid 3D braiding machine incorporating graph theory. By applying graph theory, by converting the perform cross-sectional shape and the braiding chassis into graphs, a graph model transformation algorithm is established to optimize carrier paths and improve braiding efficiency. This algorithm considers the motion states of the driving components and the relative positions between carriers, converting complex braiding structures into optimal carrier paths. The effectiveness of the proposed algorithm was verified through three different carrier path planning case studies including square, rotational and equal-length multi-arm configurations, confirmed the methodology’s capability to maintain structural accuracy while minimizing deviations from design specifications. The results demonstrate that this method has significant potential in the automated arrangement of braiding trajectories for 3D braided complex cross-section components, laying the foundation for the further development of 3D braiding technology automation.