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In this paper, an asymmetric helical gear meshing stiffness calculation method combining finite element method and elastic contact theory is proposed. In this method, the original compliance matrix of the tooth surface is extracted by the substructure method, the bending deformation of the contact point is separated, the contact deformation is calculated according to the analytical formula of the linear contact deformation, and the time-varying meshing stiffness of the gear is obtained by solving the coordination equation of the nonlinear deformation. Compared with the conventional finite element method, this method can effectively improve the calculation efficiency and stability, and can provide effective guidance for the design of asymmetric helical gear strength and dynamic characteristics.

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An Improved Algorithm for the Meshing Stiffness of Asymmetric Helical Gears Based on Finite Element Method and Elastic Contact Theory

  • 会议论文

  • 发表日期：

    2026年

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  • Chongxing Cao,
  • Haiwei Wang,
  • Youjing Wang,
  • Shuan Yao,
  • Fangli Ning

摘要

In this paper, an asymmetric helical gear meshing stiffness calculation method combining finite element method and elastic contact theory is proposed. In this method, the original compliance matrix of the tooth surface is extracted by the substructure method, the bending deformation of the contact point is separated, the contact deformation is calculated according to the analytical formula of the linear contact deformation, and the time-varying meshing stiffness of the gear is obtained by solving the coordination equation of the nonlinear deformation. Compared with the conventional finite element method, this method can effectively improve the calculation efficiency and stability, and can provide effective guidance for the design of asymmetric helical gear strength and dynamic characteristics.