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-  2018 

面齿轮传动全齿面闪温分布与抗胶合修形优化
Full Tooth Surface Flash Temperature Distributions and Anti??Scuffing Optimization of Tooth Modification for Face Gear Drives

DOI: 10.7652/xjtuxb201811018

Keywords: 面齿轮传动,齿面闪温,修形,抗胶合,优化,非支配排序遗传算法
face gear drive
,tooth surface flash temperature,modification,anti??scuffing,optimization,non??dominated sorting genetic algorithm II

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Abstract:

为快速求解面齿轮传动的全齿面闪温分布,基于Blok闪温公式、齿面接触分析和承载接触分析技术,通过计算接触椭圆长轴离散点处的切向速度、综合曲率半径、载荷密度以及赫兹接触带半宽,建立了面齿轮传动全齿面闪温求解模型,并与带精英策略的快速非支配排序遗传算法相结合,以小轮修形曲线的8个参数为优化变量,以全齿面闪温最小为优化目标,建立了面齿轮传动抗胶合修形优化模型。算例分析结果表明:节线附近闪温近似为0℃;离节线越远,相对滑动速度就越大,闪温也越大,胶合失效最易发生在啮出的接触椭圆长轴上;优化小轮修形参数使全齿面的最大闪温下降了29.9%,从而提高了面齿轮传动的抗胶合能力。
To rapidly calculate the full tooth surface flash temperature distributions of face gear drives, following Blok flash temperature formula, tooth contact analysis and loaded tooth contact analysis technology, a calculating model for full tooth surface flash temperature distribution of face gear drives is established by evaluating the tangential velocity comprehensive curvature radius of the discrete points on contact ellipse long axes load density and semi??width of the Hertzian contact band. Combining with the fast elitist non??dominated sorting genetic algorithm II, an antiscuffing optimization schedule of tooth modification for face gear drives is constructed by regarding eight parameters of curves on modified pinions as the optimization variables and the minimum tooth surface flash temperature as the optimization objective. The calculations examples show that the flash temperature on the contact ellipse long axes near the pitch cone approaches 0℃, the farther the contact ellipse long axis from the pitch cone, and the higher the sliding velocity and flash temperature on the contact ellipse long axis, the scuffing failure is more prone to occur on the mesh??out contact elliptical long axis. Once optimizing the modification parameters of the pinion, the maximum tooth surface flash temperature decreases by 29.9%, thus improving the antiscuffing capacity of face gear drives

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