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正交面齿轮传动的两类界线

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  • 国家科技期刊平台
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为了建立系统的正交面齿轮传动啮合界线与曲率干涉界线理论,本文通过求解非线方程组获得了两类界线的数值解.证明了啮合界线在小轮齿面上是渐开线;其共轭线也是渐开线.发现干涉界线一般有 2 条,近齿面干涉界线存在于面齿轮内端附近,大致沿齿高走向.近齿面干涉界点存在平凡解,是干涉界线和啮合界线共轭线的交点,位于传动副瞬时相对转动轴上.基于近齿面干涉界线,建立了面齿轮无根切内径公式,通过数值迭代可以获得内径准确值;还导出了无根切内径估算公式,便于设计中应用.
Two types of boundary line of orthogonal face gear drives
In order to establish the theory of two kinds of limit line is set forth for the orthogonal face gear drive.By solving the nonlinear equations,the numerical solutions of the limit lines are obtained.It is proved that both the meshing limit line and its conjugate line are all involute.Generally,the interference limit line has two branches,and one branch near the gear exists approximately at its inner end,roughly along the tooth height and slightly aslant.The interference limit point has a trivial solution,and the related limit point is the intersecting point of the limit line and the conjugate line of meshing limit line.The trivial limit point is on the instantaneous axis of the rela-tive rotation of the gear pair.By means of the theory proposed,a method based numerical iteration to compute the exact inner radius is proposed for the face gear without undercutting.Meanwhile an approximate formula to estimate the non-undercutting inner radius is put forward for convenient design.

face gearcurvature interferencemeshing boundary lineinvolutespur gearundercuttingnonlin-earityinner radius

赵亚平、娄海青

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东北大学 机械工程与自动化学院,辽宁 沈阳 110004

面齿轮 曲率干涉 啮合界线 渐开线 直齿轮 根切 非线性 内径

国家自然科学基金武汉科技大学冶金装备及其控制教育部重点实验室开放基金武汉科技大学冶金装备及其控制教育部重点实验室开放基金

52075083MECOF2022B04MECOF2023B01

2024

10.11990/jheu.202210027

哈尔滨工程大学学报
哈尔滨工程大学

哈尔滨工程大学学报

CSTPCD北大核心
影响因子：0.655
ISSN：1006-7043
年,卷(期)：2024.45(4)
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