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变位面齿轮副承载特性分析及变位系数优化

发布时间:2018-02-12 03:02

  本文关键词: 面齿轮 变位 承载接触分析 应力场分析 遗传算法 多目标优化 出处:《华中科技大学学报(自然科学版)》2017年06期  论文类型:期刊论文


【摘要】:为改善面齿轮副啮合性能,采用变位插齿刀对面齿轮进行变位,建立了包含齿根过渡曲面在内的变位面齿轮全齿面理论三维几何模型,进行了承载接触分析(LTCA)和应力场分析,并以齿根弯曲应力、齿面接触应力为两个优化目标,采用带精英策略的快速非支配排序遗传算法(NSGA-Ⅱ)优化了变位系数.结果表明:面齿轮副变位对承载传动误差、齿间载荷分配、齿面载荷分布有一定影响,但承载传动误差波动幅值对变位系数并不敏感;负变位可增加重合度,并减小大轮齿根弯曲应力峰值,但齿面接触应力、小轮齿根弯曲应力峰值增大;正变位可减小齿面接触应力、小轮齿根弯曲应力峰值,但大轮齿根弯曲应力峰值增大;优化后的变位系数既提高了齿面接触强度,又使大、小轮弯曲强度趋于接近,有利于提高面齿轮副的承载能力.
[Abstract]:In order to improve the meshing performance of the surface gear pair, the surface gear with the modified gear shaper is used to modify the position, and the three-dimensional geometric model of the whole tooth surface of the modified gear, including the tooth root transition surface, is established, and the load bearing contact analysis and the stress field analysis are carried out. Taking the bending stress of tooth root and the contact stress of tooth surface as two optimization targets, the modification coefficient is optimized by using the genetic algorithm of fast non-dominant sorting with elite strategy, the result shows that the displacement of the face gear pair is wrong to the load bearing transmission. Load distribution between teeth and load distribution on tooth surface have certain influence, but the fluctuation amplitude of load transmission error is not sensitive to displacement coefficient, negative displacement can increase coincidence degree and decrease the peak value of bending stress of tooth root of large wheel, but contact stress of tooth surface. The peak value of bending stress of gear root increases, the positive displacement can reduce the contact stress of tooth surface, the peak value of bending stress of small gear tooth root increases, but the peak value of bending stress of large gear tooth root increases. The optimized displacement coefficient not only increases the contact strength of tooth surface, but also makes the tooth surface contact strength larger. The bending strength of the small wheel tends to be close, which is helpful to improve the bearing capacity of the face gear pair.
【作者单位】: 西北工业大学机电学院;
【基金】:国家自然科学基金资助项目(51375384)
【分类号】:TH132.41

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