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高速重载弧齿锥齿轮齿面多目标优化设计OA北大核心CSTPCD

Multi-objective Optimal Design of Tooth Surface of High Speed and Heavy Load Spiral Bevel Gears

中文摘要英文摘要

以提高弧齿锥齿轮强度性能和减振降噪为出发点,基于 TCA(Tooth contact analysis)、LTCA(Load tooth contact analysis)及局部综合法建立高重合度与低啮合转换处传动误差幅值的齿面多目标优化设计模型;利用带精英策略非支配排序遗传算法(NSGA-Ⅱ)优化 3 个齿面 2 阶接触参数,根据目标函数重要程度从Pareto最优解集中选择最终优化解.结果表明:给定工况下,优化后的 2 阶参数使得弧齿锥齿轮副重合度增加了 16.69%,啮合转换处传动误差幅值降低了 87.33%;同时承载传动误差均值、齿面接触应力均值与大小轮齿根弯曲应力均值分别降低了 11.82%、0.25%、12.32%和 13.61%,改善了齿轮副的强度性能和啮合性能,实现了减振降噪的效果.

To improve the strength performance of spiral bevel gears and reduce vibration and noise,a multi-objective optimization design model for tooth surfaces of spiral bevel gears was established by using the tooth contact analysis(TCA),load tooth contact analysis(LTCA)and local synthesis method to increase the contact ratio and reduce the transmission error amplitude at the transition of meshing;the non-dominated sorting genetic algorithm with elite strategy NSGA-II was used to optimize three second-order the contact parameters of the tooth surfaces,and the optimized solution was selected from the Pareto optimal solution set according to the importance of the objective function.The results showed that,under the given conditions,the optimized second-order parameters increased the contact ratio of the spiral bevel gear pair by 16.69%,and reduced the transmission error amplitude at the meshing conversion by 87.33%;meanwhile,the average load transmission error,the average tooth surface contact stress and the average tooth root bending stress of the large and small gears were reduced by 11.82%,0.25%,12.32%and 13.61%respectively,which improved the strength performance and meshing performance of the gear pair,and achieved the effect of the vibration and noise reduction.

任鸿飞;王三民;陈鹏;张旭阳;张全清

西北工业大学机电学院,西安 710072

弧齿锥齿轮重合度传动误差多目标优化NSGA-Ⅱ算法

spiral bevel gearscontact ratiotransmission errormulti-objective optimizationNSGA-II algorithm

《机械科学与技术》 2024 (002)

225-231 / 7

10.13433/j.cnki.1003-8728.20220185

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