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A Comprehensive Optimization Model of Tooth Surface Parameters for the Minimization of Contact Stress of Helical Face Gears by Considering the Avoidance of Edge Contact

Author

Listed:
  • Shenghui Wang

    (College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China
    State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China)

  • Bo Hu

    (College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China
    State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China)

  • Zhenyu Wu

    (College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China
    State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China
    School of Mechatronics Engineering, Guizhou Minzu University, Guiyang 550025, China)

  • Yuansheng Zhou

    (College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China
    State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China)

  • Jinyuan Tang

    (College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China
    State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China)

Abstract

Optimization with edge contact avoidance and contact stress minimization is essential for gear design. Due to the complex geometry of modified helical face gear drives, it is complicated to find the optimal design parameters with the consideration of issues including loading, assembly errors, and edge contact. As the finite element method is tedious and time-consuming, an optimization model with a simplified algorithm of the loaded tooth contact analysis with errors (ELTCA) for modified helical face gears is presented, and it can programmatically optimize the contact stress with edge contact avoidance. Firstly, a simplified ETCA algorithm is introduced, which reduces the five unknowns in the traditional contact equations to three. Secondly, the LTCA is analytically implemented according to the Hertz theory. Subsequently, an optimization model with the objective function of avoiding edge contact and reducing maximum contact stress is proposed. Furthermore, the proposed model is applied to reveal the effects of design parameters and assembly errors on the optimized contact path and stress. The results show that the optimization model is accurate and efficient; the design parameters and assembly errors have great effects on the meshing of modified helical face gears.

Suggested Citation

  • Shenghui Wang & Bo Hu & Zhenyu Wu & Yuansheng Zhou & Jinyuan Tang, 2022. "A Comprehensive Optimization Model of Tooth Surface Parameters for the Minimization of Contact Stress of Helical Face Gears by Considering the Avoidance of Edge Contact," Mathematics, MDPI, vol. 10(17), pages 1-20, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3102-:d:900738
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    Cited by:

    1. Jun Wen & Yuansheng Zhou & Jinyuan Tang & Yu Dai, 2023. "An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear Drives," Mathematics, MDPI, vol. 11(14), pages 1-22, July.

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