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基于控制方程的齿轮剖面轮廓优化设计

Optimization Design of Gear Profile Based on Governing Equations

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【作者】 刘萍曹凌

【Author】 LIU Ping;CAO Ling;Shaanxi Defence Industry Professional Technology Institute;Baoji University of Arts and Sciences;

【机构】 陕西国防工业职业技术学院宝鸡文理学院

【摘要】 针对传统齿轮由于沿径向受力不均匀和局部应力集中等问题,基于控制方程和斯托道拉数学模型,利用偏微分方程思想,在给定齿轮的质量和转动惯量的约束条件下,对轴对称及厚度均匀的齿轮进行建模,通过优化算法得到了获得均匀径向应力分布的剖面最佳厚度分布,以实现齿轮轮廓的优化设计。经轮廓优化设计后齿轮的最大径向应力相比于轮初始轮廓设计中齿轮的最大径向应力减少了25%左右。

【Abstract】 Aimed at some questions of the rotated gear in the conventional steam turbine center, such as the uneven force and local stress concentration along the radial direction of the gear, based on governing equations and Stodola’s mathematical model, the idea of partial differential equations is used to make axisymmetric and uniform thickness gear modeling under constraint conditions of specified gear mass and moment of inertia, and optimization algorithm is used to obtain the thickness profile that results in a radial stress distribution that is as even as possible. The maximum radial stress via the optimization design of the gear decreases by about 25% in contrast with the maximum radial stress of the gear with the even thickness profile.

  • 【分类号】TH132.41
  • 【被引频次】1
  • 【下载频次】37
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