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We have proposed a tooth helix deviation network for evaluating manufactured gear accuracy. In this study, the proposed method is used to analyze tooth helix deviation curves of injection-molded polyacetal gears fixed to a shaft with a constant tightening torque. Eigen analysis of the graph Laplacian matrix of the network was performed to derive the eigenvalues and eigenvectors of the network for quantitative evaluation. Furthermore, the tightening torque to the jig was increased in steps to fix the polyacetal gear, and by evaluating the effect of the tightening torque on the eigenvalues and eigenvectors of the tooth helix deviation network, we clarified the appropriate tightening torque that does not change the gear shape.

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Eigen Analysis of Graph Laplacian of Tooth Helix Deviation Network of Injection-Molded Plastic Gears Fixed at Specific Tightening Torque

  • 会议论文

  • 发表日期：

    2026年

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  • Yuichiro Seo,
  • Daisuke Iba,
  • Jing Chong Low,
  • Shunta Takahashi,
  • Naoki Yamashita,
  • Shu Takata

摘要

We have proposed a tooth helix deviation network for evaluating manufactured gear accuracy. In this study, the proposed method is used to analyze tooth helix deviation curves of injection-molded polyacetal gears fixed to a shaft with a constant tightening torque. Eigen analysis of the graph Laplacian matrix of the network was performed to derive the eigenvalues and eigenvectors of the network for quantitative evaluation. Furthermore, the tightening torque to the jig was increased in steps to fix the polyacetal gear, and by evaluating the effect of the tightening torque on the eigenvalues and eigenvectors of the tooth helix deviation network, we clarified the appropriate tightening torque that does not change the gear shape.