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基于遗传算法的准双曲面齿轮啮合性能优化方法
Optimization Method for Meshing Performance of Hyperbolic Gears Based on Genetic Algorithm
【摘要】 为降低准双曲面齿轮因传动误差(TE)引发的振动噪声,提出了基于遗传算法的啮合性能优化方法。建立了齿面数学模型及啮合接触分析(TCA)框架。采用了双阶段优化:第一阶段调整齿面参考点位置,平衡两侧接触点以实现TE曲线对称化基础;第二阶段以小轮切齿节锥法曲率参数优化变量,使TE曲线逼近预设抛物线型目标,并约束接触点位置确保啮合迹线居中。以6∶72齿数比齿轮副为例,优化后TE幅值稳定于-0.006°,曲线与抛物线吻合度显著提升,啮合迹线居中。结果表明该方法有效提升了传动平稳性。
【Abstract】 To reduce vibration and noise in hypoid gears caused by transmission error(TE), a meshing performance optimization method based on a genetic algorithm is proposed. We established the tooth surface mathematical model and tooth contact analysis(TCA) framework. A two-stage optimization strategy is adopted: Stage I adjusts the reference point position to balance contact points on both sides, forming the basis for TE curve symmetry. Stage II optimizes the pinion cutter-blade normal curvature parameters to make the TE curve approach a target parabolic shape, while constraining contact point positions to ensure a centered meshing path. Using a 6∶72 tooth ratio hypoid gear pair as an example, the optimized TE amplitude stabilized at-0.006 deg, with significantly improved curve-parabola alignment and a centered meshing path. Results demonstrate this method effectively enhances transmission smoothness.
【Key words】 transmission error; genetic algorithm; tooth contact analysis(TCA);
- 【文献出处】 模具制造 ,Die & Mould Manufacture , 编辑部邮箱 ,2025年11期
- 【分类号】TH132.41
- 【下载频次】89