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摆线轮工作齿廓的二次分段修形方法

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针对常规修形方法存在计算复杂、齿廓曲线形状控制不够灵活等问题,提出了一种摆线轮工作齿廓的二次分段修形方法.通过摆线轮齿廓压力角变化规律的分析,将工作齿廓最小压力角的位置作为二次分段修形的基准点,建立二次分段修形模型.利用直线法简单函数,推导出二次分段修形方法下各齿段修形量的计算公式及齿廓方程.采用轮齿接触分析的方法,研究了二次分段修形齿廓的传动误差和回差,并进行对比实验验证摆线轮工作齿廓二次分段修形方法的正确性和可行性.结果表明:二次分段修形的摆线轮工作齿廓与理论齿廓曲线更加吻合,传动误差和回程误差分别减少约 14%和 19%.
Secondary Segmented Modification Method of Cycloidal Gear Working Tooth Profile
In view of the problems of complex calculation and inflexible control of tooth profile curve in conventional modification methods,a secondary segmented modification method for working tooth profile of cycloidal gears was proposed.Through analyzing pressure angle variation law of cycloidal gear tooth profile,the minimum pressure angle position of working tooth profile was taken as the reference point of the secondary segment modification,and the secondary segmented modification model was established.The formula and the tooth profile equation for calculating the modification amount of each tooth segment under the quadratic segmented modification method were derived by using straight line method.Using the method of tooth contact analysis,the transmission error and lost motion of the secondary segmented modified tooth profile were studied.Through comparative experiments,the correctness and feasibility of the secondary segmented modification method of the working tooth profile of the cycloidal gear are verified.The results show that the working tooth profile with the secondary segmented modification is more consistent with the theoretical tooth profile curve.The transmission error and lost motion are reduced by about 14%and 19%,respectively.

cycloidal gearsecondary segmented tooth profiletransmission errorlost motion

李天兴、姚建、张阳、徐家科、罗利敏、贡林欢

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河南科技大学 机电工程学院,河南 洛阳 471003

宁波中大力德智能传动股份有限公司,浙江 宁波 315327

摆线轮 二次分段齿廓 传动误差 回程误差

国家自然科学基金

U1504522

2024

河南科技大学学报(自然科学版)
河南科技大学

河南科技大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.673
ISSN:1672-6871
年,卷(期):2024.45(2)
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