Abstract In this paper a multi-objective optimization method of hypoid gears correlating to the operating characteristics is presented. Optimal design of hypoid gears demands that multiple objectives be simultaneously achieved. Four objectives considered in this study are the minimization of the maximum tooth contact pressure, transmission error and the average temperature in the gear mesh, and the maximization of the mechanical efficiency of the gear pair. The goals of the optimization are achieved by the optimal modification of meshing teeth surfaces. In practice, these modifications are introduced by applying the appropriate machine tool setting for the manufacture of the pinion and the gear, and/or by using a tool with an optimized profile. The proposed optimization procedure relies heavily on the loaded tooth contact analysis for the prediction of tooth contact pressure distribution and transmission errors, and on the mixed elastohydrodynamic analysis of lubrication to determine temperature and efficiency. A fast elitist nondominated sorting genetic algorithm (NSGA-II) is applied to solve the model. The effectiveness of the method is demonstrated by using hypoid gear examples. The obtained results have shown that by the optimization considerable improvements in the operating characteristics of the gear pair are achieved.

中文翻译：

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准双曲面齿轮多目标优化改善运行特性

摘要 本文提出了一种与工作特性相关的准双曲面齿轮的多目标优化方法。准双曲面齿轮的优化设计要求同时实现多个目标。本研究中考虑的四个目标是最大齿接触压力、传动误差和齿轮啮合平均温度的最小化，以及齿轮副机械效率的最大化。优化的目标是通过啮合齿面的优化修改来实现的。在实践中，通过应用适当的机床设置来制造小齿轮和齿轮，和/或通过使用具有优化轮廓的工具来引入这些修改。所提出的优化程序在很大程度上依赖于加载齿接触分析来预测齿接触压力分布和传动误差，并依赖于润滑的混合弹性流体动力学分析来确定温度和效率。应用快速精英非支配排序遗传算法（NSGA-II）对模型进行求解。通过使用准双曲面齿轮示例证明了该方法的有效性。获得的结果表明，通过优化，实现了齿轮副运行特性的显着改进。通过使用准双曲面齿轮示例证明了该方法的有效性。获得的结果表明，通过优化，实现了齿轮副运行特性的显着改进。通过使用准双曲面齿轮示例证明了该方法的有效性。获得的结果表明，通过优化，实现了齿轮副运行特性的显着改进。