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The Optimal Design Method and Standardized Mathematical Model of Tooth Profile Modification of Spur Gear

机译:正齿轮齿廓修正的优化设计方法和标准化数学模型

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摘要

The paper reports a tooth profile modification method of spur gear. After establishing a standardized mathematical model for optimized tooth profile and simulating meshing process with ANSYS finite element analysis, we obtained 625 groups of gear models with different modification parameters. The group with minimum transmission errors owns the optimal parameters. Genetic algorithm was adopted in the entire process for the purpose of reducing the variation of transmission errors in meshing process. The arc and parabolic modification were doing the same processing. After comparing the transmission errors fluctuation produced by the meshing process of gear of nonmodification with arc modification and parabolic modification, we found that the best modification effects of arc modification and parabolic modification were both reduced by 90%. The modification method makes the gear drive process more stable and efficient, and it is also promising in general application for gear drive.
机译:本文报道了一种正齿轮齿廓修正方法。建立优化齿廓的标准化数学模型并通过ANSYS有限元分析模拟啮合过程后,我们获得了625组具有不同修改参数的齿轮模型。传输误差最小的组拥有最佳参数。为了减少啮合过程中传递误差的变化,在整个过程中采用了遗传算法。弧形和抛物线形修改正在进行相同的处理。比较了非修饰齿轮与弧形修饰和抛物线形修饰的啮合过程产生的传动误差波动,发现弧形修饰和抛物线形修饰的最佳修饰效果均降低了90%。修改方法使齿轮传动过程更加稳定和高效,在齿轮传动的一般应用中也有希望。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第1期|6347987.1-6347987.7|共7页
  • 作者单位

    College of Engineering and Technology Southwest University Chongqing 400715 China;

    School of Mathematical Sciences Capital Normal University Beijing 100048 China;

    Institute of Semiconductors Chinese Academy of Sciences Beijing 100083 China;

    School of Mathematics and Statistics Southwest University Chongqing 400715 China College of Computer Science Chongqing University Chongqing 400044 China;

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